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Wednesday, September 3, 2014

Max Born

Max Born

From Wikipedia, the free encyclopedia
 
Max Born
Max Born.jpg
Max Born (1882–1970)
Born 11 December 1882
Breslau, German Empire
Died 5 January 1970 (aged 87)
Göttingen, West Germany
Residence Göttingen, West Germany
Citizenship German, British
Fields Physics
Institutions University of Frankfurt am Main
University of Göttingen
University of Edinburgh
Alma mater University of Göttingen
Doctoral advisor Carl Runge
Other academic advisors Woldemar Voigt
Karl Schwarzschild
Doctoral students Victor Frederick Weisskopf
J. Robert Oppenheimer
Lothar Wolfgang Nordheim
Max Delbrück
Walter Elsasser
Friedrich Hund
Pascual Jordan
Maria Goeppert-Mayer
Herbert S. Green
Cheng Kaijia
Siegfried Flügge
Edgar Krahn
Maurice Pryce
Antonio Rodríguez
Bertha Swirles
Paul Weiss
Peng Huanwu[1]
Other notable students Emil Wolf
Known for Born–Haber cycle
Born rigidity
Born coordinates
Born approximation
Born probability
Born–Infeld theory
Born–Oppenheimer approximation
Born's Rule
Born–Landé equation
Born–Huang approximation
Born–von Karman boundary condition
Born equation
Notable awards Nobel Prize in Physics (1954)
Hughes Medal (1950)
Max Planck Medal (1948)
Fellow of the Royal Society (1939)
Spouse Hedwig (Hedi) Ehrenberg (m. 1913-1970; his death; 3 children)
Signature

Max Born (German: [bɔɐ̯n]; 11 December 1882 – 5 January 1970) was a German physicist and mathematician who was instrumental in the development of quantum mechanics. He also made contributions to solid-state physics and optics and supervised the work of a number of notable physicists in the 1920s and 30s. Born won the 1954 Nobel Prize in Physics for his "fundamental research in Quantum Mechanics,[2][3] especially in the statistical interpretation of the wave function".[1][4][5][6]

Born entered the University of Göttingen in 1904, where he found the three renowned mathematicians, Felix Klein, David Hilbert and Hermann Minkowski. He wrote his Ph.D. thesis on the subject of "Stability of Elastica in a Plane and Space", winning the University's Philosophy Faculty Prize. In 1905, he began researching special relativity with Minkowski, and subsequently wrote his habilitation thesis on the Thomson model of the atom. A chance meeting with Fritz Haber in Berlin in 1918 led to discussion of the manner in which an ionic compound is formed when a metal reacts with a halogen, which is today known as the Born–Haber cycle.

In 1921, Born returned to Göttingen, arranging another chair for his long-time friend and colleague James Franck. Under Born, Göttingen became one of the world's foremost centres for physics. In 1925, Born and Werner Heisenberg formulated the matrix mechanics representation of quantum mechanics. The following year, he formulated the now-standard interpretation of the probability density function for ψ*ψ in the Schrödinger equation, for which he was awarded the Nobel Prize in 1954. His influence extended far beyond his own research. Max Delbrück, Siegfried Flügge, Friedrich Hund, Pascual Jordan, Maria Goeppert-Mayer, Lothar Wolfgang Nordheim, Robert Oppenheimer, and Victor Weisskopf all received their Ph.D. degrees under Born at Göttingen, and his assistants included Enrico Fermi, Werner Heisenberg, Gerhard Herzberg, Friedrich Hund, Pascual Jordan, Wolfgang Pauli, Léon Rosenfeld, Edward Teller, and Eugene Wigner.

In January 1933, the Nazi Party came to power in Germany, and Born, who was Jewish, was suspended. He emigrated to Britain, where he took a job at St John's College, Cambridge, and wrote a popular science book, The Restless Universe, as well as Atomic Physics, which soon became a standard text book. In October 1936, he became the Tait Professor of Natural Philosophy at the University of Edinburgh, where, working with German-born assistants E. Walter Kellermann and Klaus Fuchs, he continued his research into physics. Max Born became a naturalised British subject on 31 August 1939, one day before World War II broke out in Europe. He remained at Edinburgh until 1952. He retired to Bad Pyrmont, in West Germany. He died in hospital in Göttingen on 5 January 1970.

Early life

Max Born was born on 11 December 1882 in Breslau (now Wrocław, Poland), which at the time of Born's birth was part of the Prussian Province of Silesia in the German Empire, to a family of Jewish descent.[7] He was one of two children born to Gustav Born, an anatomist and embryologist, who was a professor of embryology the University of Breslau,[8] and his wife Margarethe (Gretchen) née Kauffmann, from a Silesian family of industrialists. She died when Max was four years old, on 29 August 1886.[9] Max had a sister, Käthe, who was born in 1884, and a half-brother, Wolfgang, from his father's second marriage, to Bertha Lipstein. Wolfgang later became Professor of Art History at the City College of New York.[10]

Initially educated at the König-Wilhelm-Gymnasium in Breslau, Born entered the University of Breslau in 1901. The German university system allowed students to move easily from one university to another, so he spent summer semesters at Heidelberg University in 1902 and the University of Zurich in 1903. Fellow students at Breslau, Otto Toeplitz and Ernst Hellinger, told Born about the University of Göttingen,[11] and Born went there in April 1904. At Göttingen he found three renowned mathematicians: David Hilbert, Felix Klein and Hermann Minkowski. Very soon after his arrival, Born formed close ties to the latter two men. From the first class he took with Hilbert, Hilbert identified Born as having exceptional abilities and selected him as the lecture scribe, whose function was to write up the class notes for the students' mathematics reading room at the University of Göttingen. Being class scribe put Born into regular, invaluable contact with Hilbert, during which time Hilbert's intellectual largesse benefited Born's fertile mind. Hilbert became Born's mentor after selecting him to be the first to hold the unpaid, semi-official position of assistant. Born's introduction to Minkowski came through Born's stepmother, Bertha, as she knew Minkowski from dancing classes in Königsberg. The introduction netted Born invitations to the Minkowski household for Sunday dinners. In addition, while performing his duties as scribe and assistant, Born often saw Minkowski at Hilbert's house.[12][13]

Born's relationship with Klein was more problematic. Born attended a seminar conducted by Klein and professors of applied mathematics, Carl Runge and Ludwig Prandtl, on the subject of elasticity. Although not particularly interested in the subject, Born was obliged to present a paper. Using Hilbert's calculus of variations, he presented one in which, using a curved configuration of a wire with both ends fixed, he demonstrated would be the most stable. Klein was impressed, and invited Born to submit a thesis on the subject of "Stability of Elastica in a Plane and Space" – a subject near and dear to Klein – which Klein had arranged to be the subject for the prestigious annual Philosophy Faculty Prize offered by the University. Entries could also qualify as doctoral dissertations. Born responded by turning down the offer, as applied mathematics was not his preferred area of study. Klein was greatly offended.[14][15]

Klein had the power to make or break academic careers, so Born felt compelled to atone by submitting an entry for the prize. Because Klein refused to supervise him, Born arranged for Carl Runge to be his supervisor. Woldemar Voigt and Karl Schwarzschild became his other examiners. Starting from his paper, Born developed the equations for the stability conditions. As he became more interested in the topic, he had an apparatus constructed that could test his predictions experimentally. In 13 June 1906, the rector announced that Born had won the prize. A month later, he passed his oral examination and was awarded his PhD in mathematics magna cum laude.[16]

On graduation, Born was obliged to perform his military service, which he had deferred while a student. He found himself drafted into the German army, and posted to the 2nd Guards Dragoons "Empress Alexandra of Russia", which was stationed in Berlin. His service was brief, as he was discharged early after an asthma attack in January 1907. He then travelled to England, where he was admitted to Gonville and Caius College, Cambridge, and studied physics for six months at the Cavendish Laboratory under J.J. Thomson, George Searle and Joseph Larmor. After Born returned to Germany, the Army re-inducted him, and he served with the elite 1st (Silesian) Life Cuirassiers "Great Elector" until he was again medically discharged after just six weeks' service. He then returned to Breslau, where he worked under the supervision of Otto Lummer and Ernst Pringsheim, hoping to do his habilitation in physics. A minor accident involving Born's black body experiment, a ruptured cooling water hose, and a flooded laboratory, led to Lummer telling him that he would never become a physicist.[17]

In 1905, Albert Einstein published his paper On the Electrodynamics of Moving Bodies about special relativity. Born was intrigued, and began researching the subject. He was devastated to discover that Minkowski was also researching special relativity along the same lines, but when he wrote to Minkowski about his results, Minkowski asked him to return to Göttingen and do his habilitation there. Born accepted. Toeplitz helped Born brush up on his matrix algebra so he could work with the four-dimensional Minkowski space matrices used in the latter's project to reconcile relativity with electrodynamics. Born and Minkowski got along well, and their work made good progress, but Minkowski died suddenly of appendicitis on 12 January 1909. The mathematics students had Born speak on their behalf at the funeral.[18]

Born attempted to present their results at a meeting of the Göttingen Mathematics Society a few weeks later. He did not get far before he was publicly challenged by Klein and Max Abraham, who rejected relativity, and forced to terminate the lecture. However, Hilbert and Runge were interested in Born's work, and after some discussion with Born they became convinced of the veracity of his results, and persuaded him to give the lecture again. This time he was not interrupted, and Voigt offered to sponsor Born's habilitation thesis.[19] Born subsequently published his talk as an article on "The Theory of Rigid Bodies in the Kinematics of the Relativity Principle" German: Die Theorie des starren Elektrons in der Kinematik des Relativitätsprinzips,[20] which introduced the concept of Born rigidity. On 23 October Born presented his habilitation lecture on the Thomson model of the atom.[21]

Career

Berlin and Frankfurt

Born settled in as a young academic at Göttingen as a privatdozent. In Göttingen, Born stayed at a boarding house run by Sister Annie at Dahlmannstraße 17, known as El BoKaReBo. The name was derived from the first letters of the last names of its boarders: "El" for Ella Philipson (a medical student), "Bo" for Born and Hans Bolza (a physics student), "Ka" for Theodore von Kármán (a Privatdozent), and "Re" for Albrecht Renner (another medical student). A frequent visitor to the boarding house was Paul Peter Ewald, a doctoral student of Arnold Sommerfeld on loan to Hilbert at Göttingen as a special assistant for physics. Richard Courant, a mathematician and Privatdozent, called these people the "in group."[22]

In 1912, Born met Hedwig (Hedi) Ehrenberg, the daughter of a University of Leipzig law professor, and a friend of Carl Runge's daughter Iris. She was of Jewish background on her father's side, although he had become a practising Lutheran when he got married, as did Max's sister Käthe. Despite never practising his religion, he refused to convert, and his wedding on 2 August 1913 was a garden ceremony. However, he was baptised as a Lutheran in March 1914 by the same pastor who had performed his wedding ceremony. Born regarded "religious professions and churches as a matter of no importance".[23] His decision to be baptised was made partly in deference to his wife, and partly due to his desire to assimilate into German society.[23] The marriage produced three children: two daughters, Irene, born in 1914, and Margarethe (Gritli), born in 1915, and a son, Gustav, born in 1921. Irene is the mother of British-born Australian singer and actress Olivia Newton-John.[24] Through marriage, Born is related to jurists Victor Ehrenberg, his father-in-law, and Rudolf von Jhering, his wife's maternal grandfather, as well as Hans Ehrenberg, and is a great uncle of British comedian Ben Elton.[25]

By the end of 1913, Born had published 27 papers, including important work on relativity and the dynamics of crystal lattices,[26] which became a book.[27] In 1914 received a letter from Max Planck explaining that a new professor extraordinarius chair of theoretical physics had been created at the University of Berlin. The chair had been offered to Max von Laue, but he had turned it down. Born accepted.[28] The First World War was now raging. Soon after arriving in Berlin in 1915 he enlisted in an Army signals unit. In October he joined the Artillerie-Prüfungs-Kommission, the Army's Berlin-based artillery research and development organisation, under Rudolf Ladenburg, who had established a special unit dedicated to the new technology of sound ranging. In Berlin, Born formed a lifelong friendship with Einstein, who became a frequent visitor to Born's home.[29] Within days of the armistice in November 1918, Planck had the Army release Born. A chance meeting with Fritz Haber that month led to discussion of the manner in which an ionic compound is formed when a metal reacts with a halogen, which is today known as the Born–Haber cycle.[30]

Even before Born had taken up the chair in Berlin, von Laue had changed his mind, and decided that he wanted it after all.[28] He arranged with Born and the faculties concerned for them to exchange jobs. In April 1919 Born became professor ordinarius and Director of the Institute of Theoretical Physics on the science faculty at the University of Frankfurt am Main.[27] While there, he was approached by the University of Göttingen, which was looking for a replacement for Peter Debye as Director of the Physical Institute.[31] "Theoretical physics," Einstein advised him, "will flourish wherever you happen to be; there is no other Born to be found in Germany today."[32] In negotiating for the position with the education ministry, Born arranged for another chair, of experimental physics, at Göttingen for his long-time friend and colleague James Franck.[31]

Göttingen

Solvay Conference, 1927. Born is second from the right in the second row, between Louis de Broglie and Niels Bohr.

For the 12 years Born and Franck were at Göttingen from 1921 to 1933, Born had a collaborator with shared views on basic scientific concepts — a distinct advantage for teaching and his research on the developing quantum theory. The approach of close collaboration between theoretical physicists and experimental physicists was also shared by Born at Göttingen and Arnold Sommerfeld at the University of Munich, who was ordinarius professor of theoretical physics and Director of the Institute of Theoretical Physics — also a prime mover in the development of quantum theory. Born and Sommerfeld not only shared their approach in using experimental physics to test and advance their theories, but Sommerfeld, in 1922 when he was in the United States lecturing at the University of Wisconsin–Madison, sent his student Werner Heisenberg to be Born's assistant. Heisenberg again returned to Göttingen in 1923, where he completed his habilitation under Born in 1924, and became a privatdozent at Göttingen.[33][34]

In 1925, Born and Heisenberg formulated the matrix mechanics representation of quantum mechanics. On 9 July, Heisenberg gave Born a paper entitled Über quantentheoretische Umdeutung kinematischer und mechanischer Beziehungen ("Quantum-Theoretical Re-interpretation of Kinematic and Mechanical Relations") to review, and submit for publication. In the paper, Heisenberg formulated quantum theory, avoiding the concrete, but unobservable, representations of electron orbits by using parameters such as transition probabilities for quantum jumps, which necessitated using two indexes corresponding to the initial and final states.[35][36] When Born read the paper, he recognized the formulation as one which could be transcribed and extended to the systematic language of matrices,[37] which he had learned from his study under Jakob Rosanes at Breslau University.[38]

Up until this time, matrices were seldom used by physicists; they were considered to belong to the realm of pure mathematics. Gustav Mie had used them in a paper on electrodynamics in 1912 and Born had used them in his work on the lattices theory of crystals in 1921. While matrices were used in these cases, the algebra of matrices with their multiplication did not enter the picture as they did in the matrix formulation of quantum mechanics.[39] With the help of his assistant and former student Pascual Jordan, Born began immediately to make a transcription and extension, and they submitted their results for publication; the paper was received for publication just 60 days after Heisenberg's paper.[40] A follow-on paper was submitted for publication before the end of the year by all three authors.[41] The result was a surprising formulation:
 p q - q p =  { h \over 2 \pi i } I
where p and q were matrices for location and momentum p, and I is the identity matrix. The result arises because matrix multiplication is not commutative.[38] This formulation was entirely attributable to Born, who also established that all the elements not on the diagonal of the matrix were zero. Born considered that his paper with Jordan contained "the most important principles of quantum mechanics including its extension to electrodynamics."[38] The paper put Heisenberg's approach on a solid mathematical basis. [42]

Even Born was surprised to discover that Paul Dirac had been thinking along the same lines as Heisenberg. Soon Wolfgang Pauli used the matrix method to calculate the energy values of the hydrogen atom, and found that they agreed with the Bohr model. Another important contribution was made by Erwin Schrödinger, who looked at the problem using wave mechanics. This had a great deal of appeal to many at the time, as it offered the possibility of returning to deterministic classical physics. Born would have none of this, as it ran counter to facts determined by experiment.[38] He formulated the now-standard interpretation of the probability density function for ψ*ψ in the Schrödinger equation, which he published in July 1926.[43][42]

In a letter to Born on 4 December 1926, Einstein made his famous remark regarding quantum mechanics:
Quantum mechanics is certainly imposing. But an inner voice tells me that it is not yet the real thing. The theory says a lot, but does not really bring us any closer to the secret of the 'old one'. I, at any rate, am convinced that He is not playing at dice.[44]
This quotation is often paraphrased as 'God does not play dice'.[45]

In 1928, Einstein nominated Heisenberg, Born, and Jordan for the Nobel Prize in Physics,[46] [47] but Heisenberg alone won the 1932 Prize "for the creation of quantum mechanics, the application of which has led to the discovery of the allotropic forms of hydrogen",[48] while Schrödinger and Dirac shared the 1933 Prize "for the discovery of new productive forms of atomic theory".[48] On 25 November 1933, Born received a letter from Heisenberg in which he said he had been delayed in writing due to a "bad conscience" that he alone had received the Prize "for work done in Göttingen in collaboration — you, Jordan and I."[49] Heisenberg went on to say that Born and Jordan's contribution to quantum mechanics cannot be changed by "a wrong decision from the outside."[49] In 1954, Heisenberg wrote an article honouring Planck for his insight in 1900, in which he credited Born and Jordan for the final mathematical formulation of matrix mechanics and Heisenberg went on to stress how great their contributions were to quantum mechanics, which were not "adequately acknowledged in the public eye."[50]

Those who received their Ph.D. degrees under Born at Göttingen included Max Delbrück, Siegfried Flügge, Friedrich Hund, Pascual Jordan, Maria Goeppert-Mayer, Lothar Wolfgang Nordheim, Robert Oppenheimer, and Victor Weisskopf.[1][51] Born's assistants at the University of Göttingen's Institute for Theoretical Physics included Enrico Fermi, Werner Heisenberg, Gerhard Herzberg, Friedrich Hund, Pascual Jordan, Wolfgang Pauli, Léon Rosenfeld, Edward Teller, and Eugene Wigner.[52] Walter Heitler became an assistant to Born in 1928, and completed his habilitation under him in 1929. Born not only recognised talent to work with him, but he "let his superstars stretch past him; to those less gifted, he patiently handed out respectable but doable assignments."[53] Delbrück, and Goeppert-Mayer went on to win Nobel Prizes.[54][55]

Later life

Born's gravestone in Göttingen is inscribed with the uncertainty principle, which he put on rigid mathematical footing.

In January 1933, the Nazi Party came to power in Germany. In May, Born became one of six Jewish professors at Göttingen who were suspended with pay; Franck had already resigned. In twelve years they had built Göttingen into one of the world's foremost centres for physics.[56] Born began looking for a new job, writing to Maria Göppert-Mayer at Johns Hopkins University and Rudi Ladenburg at Princeton University. Offers soon started to pour in, and he accepted one from St John's College, Cambridge.[57] At Cambridge, he wrote a popular science book, The Restless Universe, and a textbook, Atomic Physics, that soon became a standard text, going through seven editions. His family soon settled into life in England, with his daughters Irene and Gritli becoming engaged to Welshman Brinley (Bryn) Newton-John and Englishman Maurice Price respectively.[58][59]

Born's position at Cambridge was only a temporary one, and his tenure at Göttingen was terminated in May 1935. He therefore accepted an offer from C. V. Raman to come to Bangalore in 1935.[60] Born considered taking a permanent position there, but the Indian Institute of Science did not create an additional chair for him.[61] In November 1935, the Born family had their German citizenship revoked, rendering them stateless. A few weeks later Göttingen cancelled Born's doctorate.[62] Born considered an offer from Pyotr Kapitsa in Moscow, and started taking Russian lessons from Rudolf Peierls's Russian-born wife Genia. But then Charles Galton Darwin asked Born if he would consider becoming his successor as Tait Professor of Natural Philosophy at the University of Edinburgh, an offer that Born promptly accepted,[63] assuming the chair in October 1936.[58]

In Edinburgh, Born promoted the teaching of mathematical physics. He had two German assistants, E. Walter Kellermann and Klaus Fuchs, and together they continued to investigate the mysterious behaviour of electrons.[64] Born became a Fellow of the Royal Society of Edinburgh in 1937, and of the Royal Society of London in March 1939. During 1939, he got as many of his remaining friends and relatives still in Germany as he could out of the country, including his sister Käthe, in-laws Kurt and Marga, and the daughters of his friend Heinrich Rausch von Traubenberg. Hedi ran a Domestic Bureau, placing young Jewish women in jobs. Born received his Certificate of Naturalisation as a British subject on 31 August 1939, one day before the Second World War broke out in Europe.[65]

Born remained at Edinburgh until he reached the retirement age of 70 in 1952. He retired to Bad Pyrmont, in West Germany, in 1954.[66] In October, he received word that he was being awarded the Nobel Prize. His fellow physicists had never stopped nominating him. Franck and Fermi had nominated him in 1947 and 1948 for his work on crystal lattices, and over the years, he had also been nominated for his work on solid state, quantum mechanics and other topics.[67] In 1954, he received the prize for "fundamental research in Quantum Mechanics, especially in the statistical interpretation of the wave function"[5] — something that he had worked on alone.[67] In his Nobel lecture he reflected on the philosophical implications of his work:
I believe that ideas such as absolute certitude, absolute exactness, final truth, etc. are figments of the imagination which should not be admissible in any field of science. On the other hand, any assertion of probability is either right or wrong from the standpoint of the theory on which it is based. This loosening of thinking (Lockerung des Denkens) seems to me to be the greatest blessing which modern science has given to us. For the belief in a single truth and in being the possessor thereof is the root cause of all evil in the world.[68]
In retirement, he continued scientific work, and produced new editions of his books. He died in hospital in Göttingen on 5 January 1970. He was survived by wife Hedi, who died in 1972, and children Irene (mother of the singer Olivia Newton-John), Gritli and Gustav.[66] He is buried in the Stadtfriedhof there, in the same cemetery as Walther Nernst, Wilhelm Weber, Max von Laue, Otto Hahn, Max Planck, and David Hilbert.[69]

Bibliography

During his life, Born wrote several semi-popular and technical books. His volumes on topics like atomic physics and optics were very well received and are considered classics in their fields which are still in print. The following is a listing of his major works:
  • Max Born The statistical interpretation of quantum mechanics. Nobel Lecture – 11 December 1954.
  • Über das Thomson'sche Atommodell Habilitations-Vortrag (FAM, 1909) - The Habilitation was done at the University of Göttingen, on 23 October 1909.[70]
  • Dynamik der Kristallgitter (Teubner, 1915)[71] – After its publication, the physicist Arnold Sommerfeld asked Born to write an article based on it for the 5th volume of the Mathematical Encyclopedia. The First World War delayed the start of work on this article, but it was taken up in 1919 and finished in 1922. It was published as a revised edition under the title Atomic Theory of Solid States.[72]
  • Die Relativitätstheorie Einsteins und ihre physikalischen Grundlagen (Springer, 1920) – Based on Born's lectures at the University of Frankfurt am Main.[74]
    • Available in English under the title Einstein's Theory of Relativity.[75]
  • Vorlesungen über Atommechanik (Springer, 1925)[71]
    • Mechanics of the Atom (George Bell & Sons, 1927) – Translated by J. W. Fisher and revised by D. R. Hartree.[76]
  • Problems of Atomic Dynamics (MIT Press, 1926) – A first account of matrix mechanics being developed in Germany, based on two series of lectures given at MIT, over three months, in late 1925 and early 1926.[77][78]
  • Elementare Quantenmechanik (Zweiter Band der Vorlesungen über Atommechanik), with Pascual Jordan. (Springer, 1930) – This was the first volume of what was intended as a two-volume work. This volume was limited to the work Born did with Jordan on matrix mechanics. The second volume was to deal with Erwin Schrödinger's wave mechanics. However, the second volume was not even started by Born, as he believed his friend and colleague Hermann Weyl had written it before he could do so.[79][80]
  • Optik: Ein Lehrbuch der elektromagnetische Lichttheorie (Springer, 1933) – The book was released just as the Borns were emigrating to England.
    • Principles of Optics: Electromagnetic Theory of Propagation, Interference and Diffraction of Light,[81] with Emil Wolf. (Pergamon, 1959) – This book is not an English translation of Optik, but rather a substantially new book. Shortly after World War II, a number of scientists suggested that Born update and translate his work into English. Since there had been many advances in optics in the intervening years, updating was warranted. In 1951, Emil Wolf began as Born's private assistant on the book; it was eventually published in 1959 by Robert Maxwell's Pergamon Press.[82] – the delay being due to the lengthy time needed "to resolve all the financial and publishing tricks created by Maxwell."[83]
  • Moderne Physik (1933) – Based on seven lectures given at the Technischen Hochschule Berlin.[84]
    • Atomic Physics (Blackie, London, 1935) – Authorized translation of Moderne Physik by John Dougall, with updates.[85]
  • The Restless Universe[86] (Blackie and Son Limited, 1935) - A popularised rendition of the workshop of nature. Born's nephew, Otto Königsberger, whose successful career as an architect in Berlin was brought to an end when the Nazis took over, was temporarily brought to England to illustrate the book.[84]
  • Experiment and Theory in Physics (Cambridge University Press, 1943) – The address given King's College, Newcastle upon Tyne, at the request of the Durham Philosophical Society and the Pure Science Society. An expanded version of the lecture appeared in a 1956 Dover Publications edition.[87]
  • Natural Philosophy of Cause and Chance (Oxford University Press, 1949) – Based on Born's 1948 Waynflete lectures, given at the College of St. Mary Magdalen, Oxford University. A later edition (Dover, 1964) included two appendices: "Symbol and Reality" and Born's lecture given at the Nobel laureates 1964 meeting in Landau, Germany.[88]
  • A General Kinetic Theory of Liquids with H. S. Green (Cambridge University Press, 1949) – The six papers in this book were reproduced with permission from the Proceedings of the Royal Society.
  • Physics in My Generation: A Selection of Papers (Pergamon, 1956)[89]
  • Physik im Wandel meiner Zeit (Vieweg, 1957)
  • Physik und Politik (VandenHoeck und Ruprecht, 1960)
  • Zur Begründung der Matrizenmechanik, with Werner Heisenberg and Pascual Jordan (Battenberg, 1962) – Published in honor of Max Born's 80th birthday. This edition reprinted the authors' articles on matrix mechanics published in Zeitscrift für Physik, Volumes 26 and 3335, 1924–1926.[90]
  • My Life and My Views: A Nobel Prize Winner in Physics Writes Provocatively on a Wide Range of Subjects (Scribner, 1968) – Part II (pp. 63–206) is a translation of Verantwortung des Naturwissenschaftlers.[91]
  • Briefwechsel 1916–1955, kommentiert von Max Born with Hedwig Born and Albert Einstein (Nymphenburger, 1969)
    • The Born–Einstein Letters: Correspondence between Albert Einstein and Max and Hedwig Born from 1916–1955, with commentaries by Max Born (Macmillan, 1971).[92]
  • Mein Leben: Die Erinnerungen des Nobelpreisträgers (Munich: Nymphenburger, 1975). Born's published memoirs.
    • My Life: Recollections of a Nobel Laureate (Scribner, 1978).[93] Translation of Mein Leben.

Awards and honors

Erwin Schrödinger

Erwin Schrödinger

From Wikipedia, the free encyclopedia

Erwin Schrödinger
Erwin Schrödinger.jpg
Born Erwin Rudolf Josef Alexander Schrödinger
12 August 1887
Vienna, Austria-Hungary
Died 4 January 1961 (aged 73)
Vienna, Austria
Citizenship Austria, Ireland
Nationality Austrian
Fields Physics
Institutions University of Breslau University of Zürich Humboldt University of Berlin
University of Oxford
University of Graz
Dublin Institute for Advanced Studies
Ghent University
Alma mater University of Vienna
Doctoral advisor Friedrich Hasenöhrl
Other academic advisors Franz S. Exner
Friedrich Hasenöhrl
Notable students Linus Pauling
Felix Bloch
Brendan Scaife
Known for
Notable awards Nobel Prize in Physics (1933)
Max Planck Medal (1937)
Spouse Annemarie Bertel (1920–61)[1]
Signature
Bust of Schrödinger, in the courtyard arcade of the main building, University of Vienna, Austria

Erwin Rudolf Josef Alexander Schrödinger German: [ˈɛʁviːn ˈʃʁøːdɪŋɐ]; 12 August 1887 – 4 January 1961), sometimes written as Erwin Schrodinger or Erwin Schroedinger, was a Nobel Prize-winning Austrian physicist who developed a number of fundamental results in the field of quantum theory, which formed the basis of wave mechanics: he formulated the wave equation (stationary and time-dependent Schrödinger equation) and revealed the identity of his development of the formalism and matrix mechanics. Schrödinger proposed an original interpretation of the physical meaning of the wave function and in subsequent years repeatedly criticized the conventional Copenhagen interpretation of quantum mechanics (using e.g. the paradox of Schrödinger's cat).

In addition, he was the author of many works in various fields of physics: statistical mechanics and thermodynamics, physics of dielectrics, color theory, electrodynamics, general relativity, and cosmology, and he made several attempts to construct a unified field theory. In his book What Is Life? Schrödinger addressed the problems of genetics, looking at the phenomenon of life from the point of view of physics. He paid great attention to the philosophical aspects of science, ancient and oriental philosophical concepts, ethics, and religion.[2] He also wrote on philosophy and theoretical biology.

Biography

Early years

On 12 August 1887, Schrödinger was born in Vienna, Austria, to Rudolf Schrödinger (cerecloth producer, botanist) and Georgine Emilia Brenda (daughter of Alexander Bauer, Professor of Chemistry, Technische Hochschule Vienna). He was their only child.

His mother was half Austrian and half English; his father was Catholic and his mother was Lutheran. Despite being raised in a religious household, he called himself an atheist.[3][4] However, he had strong interests in Eastern religions, pantheism and used religious symbolism in his works. He also believed his scientific work was an approach to the godhead, albeit in a metaphorical sense.[5][6]

He was also able to learn English outside of school, as his maternal grandmother was British.[7] Between 1906 and 1910 Schrödinger studied in Vienna under Franz S. Exner (1849–1926) and Friedrich Hasenöhrl (1874–1915). He also conducted experimental work with Karl Wilhelm Friedrich "Fritz" Kohlrausch.

In 1911, Schrödinger became an assistant to Exner. At an early age, Schrödinger was strongly influenced by Arthur Schopenhauer. As a result of his extensive reading of Schopenhauer's works, he became deeply interested throughout his life in color theory and philosophy. In his lecture "Mind and Matter", he said that "The world extended in space and time is but our representation." This is a repetition of the first words of Schopenhauer's main work.

Middle years

Erwin Schrödinger as a young scientist

In 1914 Erwin Schrödinger achieved Habilitation (venia legendi). Between 1914 and 1918 he participated in war work as a commissioned officer in the Austrian fortress artillery (Gorizia, Duino, Sistiana, Prosecco, Vienna). In 1920 he became the assistant to Max Wien, in Jena, and in September 1920 he attained the position of ao. Prof. (ausserordentlicher Professor), roughly equivalent to Reader (UK) or associate professor (US), in Stuttgart. In 1921, he became o. Prof. (ordentlicher Professor, i.e. full professor), in Breslau (now Wrocław, Poland).

In 1921, he moved to the University of Zürich. In 1927, he succeeded Max Planck at the Friedrich Wilhelm University in Berlin. In 1934, however, Schrödinger decided to leave Germany; he disliked the Nazis' anti-semitism. He became a Fellow of Magdalen College at the University of Oxford. Soon after he arrived, he received the Nobel Prize together with Paul Dirac. His position at Oxford did not work out well; his unconventional domestic arrangements, sharing living quarters with two women and his cat, Milton,[8] was not met with acceptance. In 1934, Schrödinger lectured at Princeton University; he was offered a permanent position there, but did not accept it. Again, his wish to set up house with his wife and his mistress may have created a problem.[9] He had the prospect of a position at the University of Edinburgh but visa delays occurred, and in the end he took up a position at the University of Graz in Austria in 1936.

In the midst of these tenure issues in 1935, after extensive correspondence with Albert Einstein, he proposed what is now called the Schrödinger's cat thought experiment.

Later years

In 1938, after the Anschluss, Schrödinger had problems because of his flight from Germany in 1933 and his known opposition to Nazism. He issued a statement recanting this opposition (he later regretted doing so and personally apologized to Einstein). However, this did not fully appease the new dispensation and the University of Graz dismissed him from his job for political unreliability. He suffered harassment and received instructions not to leave the country, but he and his wife fled to Italy. From there, he went to visiting positions in Oxford and Ghent University.

In the same year he received a personal invitation from Ireland's Taoiseach, Éamon de Valera, to reside in Ireland and agree to help establish an Institute for Advanced Studies in Dublin.[10] He moved to Clontarf, Dublin, became the Director of the School for Theoretical Physics in 1940 and remained there for 17 years. He became a naturalized Irish citizen in 1948, but retained his Austrian citizenship. He wrote about 50 further publications on various topics, including his explorations of unified field theory.

In 1944, he wrote What Is Life?, which contains a discussion of negentropy and the concept of a complex molecule with the genetic code for living organisms. According to James D. Watson's memoir, DNA, the Secret of Life, Schrödinger's book gave Watson the inspiration to research the gene, which led to the discovery of the DNA double helix structure in 1953. Similarly, Francis Crick, in his autobiographical book What Mad Pursuit, described how he was influenced by Schrödinger's speculations about how genetic information might be stored in molecules. However, the geneticist and 1946 Nobel-prize winner H.J. Muller had in his 1922 article "Variation due to Change in the Individual Gene"[11] already laid out all the basic properties of the heredity molecule that Schrödinger derives from first principles in What Is Life?, properties which Muller refined in his 1929 article "The Gene As The Basis of Life"[12] and further clarified during the 1930s, long before the publication of What Is Life?.[13]

Schrödinger stayed in Dublin until retiring in 1955. He had a lifelong interest in the Vedanta philosophy of Hinduism, which influenced his speculations at the close of What Is Life? about the possibility that individual consciousness is only a manifestation of a unitary consciousness pervading the universe.[14] A manuscript "Fragment From An Unpublished Dialogue of Galileo" from this time recently resurfaced at The King's Hospital boarding school, Dublin[15] after it was written for the School's 1955 edition of their Blue Coat to celebrate his leaving of Dublin to take up his appointment as Chair of Physics at the University of Vienna.

In 1956, he returned to Vienna (chair ad personam). At an important lecture during the World Energy Conference he refused to speak on nuclear energy because of his skepticism about it and gave a philosophical lecture instead. During this period Schrödinger turned from mainstream quantum mechanics' definition of wave–particle duality and promoted the wave idea alone,[citation needed] causing much controversy.

Personal life

On 6 April 1920, Schrödinger married Annemarie (Anny) Bertel.[16]

Schrödinger suffered from tuberculosis and several times in the 1920s stayed at a sanatorium in Arosa. It was there that he formulated his wave equation.[17]
Annemarie and Erwin Schrödinger's gravesite; above the name plate Schrödinger's quantum mechanical wave function is inscribed:
i \hbar \frac{\partial}{\partial t}\Psi = \hat H \Psi
On 4 January 1961, Schrödinger died in Vienna at the age of 73 of tuberculosis. He left Anny a widow, and was buried in Alpbach, Austria, in a Catholic cemetery. Although he was not Catholic, the priest in charge of the cemetery permitted the burial after learning Schrödinger was a member of the Pontifical Academy of Sciences.[18] His wife, Anny (born 3 December 1896) died on 3 October 1965.

Scientific activities

Early activities

Early in his life, Schrödinger experimented in the fields of electrical engineering, atmospheric electricity, and atmospheric radioactivity; he usually worked with his former teacher Franz Exner. He also studied vibrational theory, the theory of Brownian movement, and mathematical statistics. In 1912, at the request of the editors of the Handbook of Electricity and Magnetism, Schrödinger wrote an article titled Dieelectrism. That same year, Schrödinger gave a theoretical estimate of the probable height distribution of radioactive substances, which is required to explain the observed radioactivity of the atmosphere, and in August 1913 executed several experiments in Zeehame that confirmed his theoretical estimate and those of Victor Franz Hess. For this work, Schrödinger was awarded the 1920 Haytingera Prize (Haitinger-Preis) of the Austrian Academy of Sciences.[19] Other experimental studies conducted by the young researcher in 1914 were checking formulas for capillary pressure in gas bubbles and the study of the properties of soft beta-radiation appearing in the fall of gamma rays on the surface of metal. The last work he performed together with his friend Fritz Kohlrausch. In 1919, Schrödinger performed his last physical experiment on coherent light and subsequently focused on theoretical studies.

Quantum mechanics

New quantum theory

In the first years of his career Schrödinger became acquainted with the ideas of quantum theory, developed in the works of Max Planck, Albert Einstein, Niels Bohr, Arnold Sommerfeld, and others. This knowledge helped him work on some problems in theoretical physics, but the Austrian scientist at the time was not yet ready to part with the traditional methods of classical physics.

The first publications of Schrödinger about atomic theory and the theory of spectra began to emerge only from the beginning of the 1920s, after his personal acquaintance with Sommerfeld and Wolfgang Pauli and his move to Germany. In January 1921, Schrödinger finished his first article on this subject, about the framework of the Bohr-Sommerfeld effect of the interaction of electrons on some features of the spectra of the alkali metals. Of particular interest to him was the introduction of relativistic considerations in quantum theory. In autumn 1922 he analyzed the electron orbits in an atom from a geometric point of view, using methods developed by the mathematician Hermann Weyl (1885–1955). This work, in which it was shown that quantum orbits are associated with certain geometric properties, was an important step in predicting some of the features of wave mechanics. Earlier in the same year he created the Schrödinger equation of the relativistic Doppler effect for spectral lines, based on the hypothesis of light quanta and considerations of energy and momentum. He liked the idea of his teacher Exner on the statistical nature of the conservation laws, so he enthusiastically embraced the articles of Bohr, Kramers, and Slater, which suggested the possibility of violation of these laws in individual atomic processes (for example, in the process of emission of radiation). Despite the fact that the experiments of Hans Geiger and Walther Bothe soon cast doubt on this, the idea of energy as a statistical concept was a lifelong attraction for Schrödinger and he discussed it in some reports and publications.[20]

Creation of wave mechanics

In January 1926, Schrödinger published in Annalen der Physik the paper "Quantisierung als Eigenwertproblem"[21] [tr. Quantization as an Eigenvalue Problem] on wave mechanics and presented what is now known as the Schrödinger equation. In this paper, he gave a "derivation" of the wave equation for time-independent systems and showed that it gave the correct energy eigenvalues for a hydrogen-like atom. This paper has been universally celebrated as one of the most important achievements of the twentieth century and created a revolution in quantum mechanics and indeed of all physics and chemistry. A second paper was submitted just four weeks later that solved the quantum harmonic oscillator, rigid rotor, and diatomic molecule problems and gave a new derivation of the Schrödinger equation. A third paper, published in May, showed the equivalence of his approach to that of Heisenberg and gave the treatment of the Stark effect. A fourth paper in this series showed how to treat problems in which the system changes with time, as in scattering problems. In this paper he introduced a complex solution to the Wave equation in order to prevent the occurrence of a fourth order differential equation, and this was arguably the moment when quantum mechanics switched from real to complex numbers, never to return. These papers were his central achievement and were at once recognized as having great significance by the physics community.

Schrödinger was not entirely comfortable with the implications of quantum theory. Schrödinger wrote about the probability interpretation of quantum mechanics, saying: "I don't like it, and I'm sorry I ever had anything to do with it."[22]

Color

One of Schrödinger's lesser-known areas of scientific contribution was his work on color, color perception, and colorimetry (Farbenmetrik). In 1920, he published three papers in this area:
  • "Theorie der Pigmente von größter Leuchtkraft", Annalen der Physik, (4), 62, (1920), 603–22 (Theory of Pigments with Highest Luminosity)
  • "Grundlinien einer Theorie der Farbenmetrik im Tagessehen", Annalen der Physik, (4), 63, (1920), 397–456; 481–520 (Outline of a theory of color measurement for daylight vision)
  • "Farbenmetrik", Zeitschrift für Physik, 1, (1920), 459–66 (Color measurement).
The second of these is available in English as "Outline of a Theory of Color Measurement for Daylight Vision" in Sources of Color Science, Ed. David L. MacAdam, The MIT Press (1970), 134–82.

Legacy

The philosophical issues raised by Schrödinger's cat are still debated today and remain his most enduring legacy in popular science, while Schrödinger's equation is his most enduring legacy at a more technical level. To this day, Schrödinger is known as the father of quantum mechanics. The large crater Schrödinger, on the far side of the Moon, is named after him. The Erwin Schrödinger International Institute for Mathematical Physics was established in Vienna in 1993.

Schrödinger's portrait was the main feature of the design of the 1983–97 Austrian 1000-Schilling banknote, the second-highest denomination.

A building is named after him at the University of Limerick, in Limerick, Ireland.[23]

Schrödinger's 126th birthday anniversary was celebrated with a Google Doodle.[24][25]

Honors and awards

Published works

Delayed-choice quantum eraser

From Wikipedia, the free encyclopedia https://en.wikipedia.org/wiki/Delayed-choice_quantum_eraser A delayed-cho...