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Paul Ehrenfest
Paul Ehrenfest.jpg
Ehrenfest in c. 1910
Born (1880-01-18)18 January 1880
Died 25 September 1933(1933-09-25) (aged 53)
Amsterdam, Netherlands
Citizenship Austrian (pre-1922)
Netherlands (post-1922)
Alma mater Vienna University of Technology
University of Vienna
University of Göttingen
Known for Ehrenfest theorem
Ehrenfest paradox
Ehrenfest equations
Ehrenfest model
Coining the term 'spinor'
Coining the term 'ultraviolet catastrophe'
Ehrenfest classification
Ehrenfest–Tolman effect
Nonradiation condition
Privileged character of 3+1 spacetime
Timoshenko–Ehrenfest beam theory
Ehrenfest time
Spouse(s) Tatyana Alexeyevna Afanasyeva
Children Tatyana Ehrenfest
Galinka Ehrenfest
Paul Jr. Ehrenfest
Vassily Ehrenfest
Scientific career
Fields Physicist
Institutions University of Leiden
Doctoral advisor Ludwig Boltzmann
Doctoral students Johannes Martinus Burgers
Hendrik Casimir
Dirk Coster
Samuel Goudsmit
Hendrik Kramers
Arend Joan Rutgers
Jan Tinbergen
George Uhlenbeck
Other notable students Gregory Breit
Paul Sophus Epstein
Viktor Trkal
Gerhard Heinrich Dieke
Gunnar Nordström
Influenced Ralph Kronig
Mark Kac

Paul Ehrenfest (18 January 1880 – 25 September 1933) was an Austrian theoretical physicist, who made major contributions to the field of statistical mechanics and its relations with quantum mechanics, including the theory of phase transition and the Ehrenfest theorem. He bonded with Albert Einstein on a visit to Prague in 1912 and became a professor in Leiden, where he frequently hosted Einstein. He died by murder-... in 1933; he killed his disabled son Wassik, and then himself.

Biography

Paul Ehrenfest was born and grew up in Vienna to Jewish parents from Loštice in Moravia (now part of the Czech Republic). His parents, Sigmund Ehrenfest and Johanna Jellinek, ran a grocery store. Although the family was not overly religious, Paul studied Hebrew and the history of the Jewish people. Later, he always emphasized his Jewish roots. Ehrenfest excelled in grade school but did not do well at the Akademisches Gymnasium, his best subject being mathematics. After transferring to the Franz Josef Gymnasium, his marks improved. In 1899, he passed the final exams.

He majored in chemistry at the Vienna Institute of Technology, but took courses at the University of Vienna, in particular from Ludwig Boltzmann on his kinetic theory of thermodynamics. These lectures had a profound influence: they were instrumental in developing Ehrenfest's interest in theoretical physics, defined his main area of research for years to come, and provided an example of inspired teaching. At the time, it was customary in the German-speaking world to study at more than one university, and in 1901, Ehrenfest transferred to University of Göttingen, which until 1933 was an important centre for mathematics and theoretical physics. There he met his future wife, Tatyana Afanasyeva, a young mathematician born in Kyiv (then-capital of the Kiev Governorate, Russian Empire) and educated in St Petersburg. In the spring of 1903, he met Dutch physicist H.A. Lorentz during a short trip to Leiden, Netherlands. In the meantime, he prepared a dissertation on Die Bewegung starrer Körper in Flüssigkeiten und die Mechanik von Hertz (The Motion of Rigid Bodies in Fluids and the Mechanics of Hertz). He obtained his Ph.D. degree on 23 June 1904 in Vienna, where he stayed from 1904 to 1905.

On 21 December 1904, he married Afanasyeva, who collaborated with him in his work. They had two daughters and two sons: Tatyana ('Tanja') (1905–1984), also became a mathematician; Galinka ('Galja') (1910–1979), became an author and illustrator of children's books; Paul, Jr. ('Pavlik') (1915–1939), who also became a physicist; and Vassily ('Wassik') (1918–1933).

The Ehrenfests returned to Göttingen in September 1906. They would not see Boltzmann again: on 5 September Boltzmann took his own life in Duino near Trieste. Ehrenfest published an extensive obituary in which Boltzmann's accomplishments are described. Felix Klein, dean of the Göttinger mathematicians and chief editor of the Enzyklopädie der mathematischen Wissenschaften ("Encyclopedia of Mathematical Sciences"), had counted on Boltzmann for a review about statistical mechanics. Now he asked Ehrenfest to take on this task. Together with his wife, Ehrenfest worked on it for several years; the article was not published until 1911. It is a review of the work of Boltzmann and his school, and shows a style all of its own: a sharp logical analysis of the fundamental hypotheses, clear delineation of unsolved questions, and an explanation of general principles by cleverly chosen transparent examples.

In 1907, the couple moved to St. Petersburg. Ehrenfest found good friends there, in particular Soviet physicist A.F. Joffe, but felt scientifically isolated. Moreover, because he was unwilling to declare belief in any religious denomination, he could not apply for a professorship, and therefore had no prospect of securing a permanent position. Early in 1912, Ehrenfest set out on a tour of German-speaking universities in the hope of a position. He visited Berlin where he saw Max Planck, Leipzig where he saw his old friend German mathematician Gustav Herglotz, Munich where he met German theoretical physicist Arnold Sommerfeld, then Zürich and Vienna. While in Prague he met Albert Einstein for the first time, and they remained close friends thereafter. Einstein recommended Ehrenfest to succeed him in his position in Prague, but that did not work out. This was due to the fact that Ehrenfest had declared himself to be an atheist. Sommerfeld offered him a position in Munich, but Ehrenfest received a better offer; at the same time there was an unexpected turn of events. H. A. Lorentz resigned his position as professor at the University of Leiden, and on his advice, Ehrenfest was appointed as his successor.

Academic career

In October 1912, Ehrenfest arrived in Leiden, and on 4 December, he gave his inaugural lecture, Zur Krise der Lichtaether-Hypothese (About the crisis of the light-ether hypothesis). He remained in Leiden for the rest of his career. In order to stimulate interaction and exchange among physics students, he organized a discussion group and a study association called De Leidsche Flesch ("The Leyden jar"). He maintained close contact with prominent physicists within the country and abroad, and invited them to visit Leiden University and give a presentation in his lecture series. Ehrenfest was an outstanding debater, quick to point out weaknesses and summarize the essentials.

Ehrenfeststudents
Ehrenfest's students, Leiden 1924. Left to right: Gerhard Heinrich Dieke, Samuel Abraham Goudsmit, Jan Tinbergen, Paul Ehrenfest, Ralph Kronig, and Enrico Fermi

In his lectures, he would focus on simple models and examples to illustrate and clarify the underlying assumptions. His classes were small, and he made an effort to get to know students who made use of the reading room. Though few of them were accepted as majors in theoretical physics, he had long discussions with them almost daily.

If Ehrenfest felt that there was little more he could teach a student, he would send the student to other centers in Europe for more training. He would also encourage students to accept positions abroad.

Among his students were Johannes Burgers, Hendrik Kramers, Dirk Coster, George Uhlenbeck and Samuel Goudsmit, who became famous for jointly proposing the concept of electron spin, Jan Tinbergen, Arend Rutgers, Hendrik Casimir, Gerhard Dieke, Dirk Struik, and Gerard Kuiper. His assistants included Yuri Krutkov, Viktor Trkal, Adriaan Fokker, Paul Epstein, and Gregory Breit. Other young foreign scientists who spent an extended period in his laboratory included Gunnar Nordström, Enrico Fermi, Igor Tamm, Oskar Klein, J. Robert Oppenheimer, Walter Elsasser, Ralph Kronig, Werner Heisenberg, Paul Dirac, and David Dennison.

Ehrenfest held ambivalent views on science, technological progress, and cultural and social issues.

In 1919, he became a member of the Royal Netherlands Academy of Arts and Sciences.

Final years

From the correspondence with his close friends, from May 1931, it appears that Ehrenfest suffered from severe depression. By August 1932, Einstein was so worried that he wrote to the Board of the University of Leiden, expressing deep concern and suggesting ways in which Ehrenfest's workload could be reduced.

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Research

Most of Ehrenfest's scientific papers deal with fundamentals, and seek to clarify single points. His publications are renowned for clarity, by solving paradoxes or by providing clearer descriptions, or are inspiring by posing melliferous questions. Characteristically, he did not like the abstraction of the new quantum theory of Heisenberg and Dirac.

Ehrenfest's most important contribution from 1912 to 1933 is the theory of adiabatic invariants. It is a concept derived from classical mechanics that, on the one hand, can serve to refine certain methods of Niels Bohr's model of the atom (although initially Ehrenfest did not accept Bohr's ideas), and on the other hand, makes a link between atomic mechanics and statistical mechanics. He made major contributions to quantum physics, including the theory of phase transitions and the Ehrenfest theorem, which states that expectation values of a quantum system follow classical mechanics. His name is also given to the Ehrenfest paradox, an apparent paradox in relativity still discussed today, to the Ehrenfest model, and to Ehrenfest time, the time characterizing the departure of quantum dynamics for observables from classical dynamics.

Ehrenfest was also interested in developing mathematical theories in economics. This interest was stimulated by his notion that there should be an analogy between thermodynamics and economic processes. While this did not result in publications, he did encourage his graduate student Jan Tinbergen to follow up on this. Tinbergen's thesis was devoted to problems both from physics and economics, and he went on to become an economist and was awarded the first Nobel Memorial Prize in Economic Sciences in 1969.

Einstein and Bohr in Leiden

Niels Bohr Albert Einstein by Ehrenfest
Niels Bohr and Albert Einstein debating quantum theory at Ehrenfest's home in Leiden (December 1925)

Ehrenfest was particularly close to both Einstein and Bohr.

On his invitation Einstein accepted in 1920 an appointment as extraordinary professor at the University of Leiden. This arrangement allowed Einstein to visit Leiden for a few weeks every year. At these occasions Einstein would stay at Ehrenfest's home. In 1923 Einstein stayed there for six weeks, after German ultra-nationalists in Berlin had made threats against his life. On the occasion of the 50th anniversary of Lorentz' doctorate (December 1925) Ehrenfest invited both Bohr and Einstein over to Leiden, in an attempt to reconcile their scientific differences about the emerging quantum theory. These discussions were continued at the 1927 Solvay Conference, where Ehrenfest much to his dismay had to side with Bohr's position in this great debate.

Quotes

Ehrenfest used colourful German language in his physics lectures:

Legacy

The monthly evening colloquium in physics at Leiden University, initiated by Paul Ehrenfest in 1912 at his house, still continues under the name Colloquium Ehrenfestii.

The Austrian Institute for Quantum Optics and Quantum Information sponsors the annual Paul Ehrenfest Best Paper Award for Quantum Foundations.

The Dutch Physics Council sponsors the annual Ehrenfest-Afanassjewa thesis award.

See also

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