Gregor Wentzel

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Gregor Wentzel
Born (1898-02-17)February 17, 1898
Oldenburg, German Empire
Died August 12, 1978(1978-08-12) (aged 80)
Ascona, Switzerland
Nationality German
Fields Physics
Institutions Ludwig Maximilian University of Munich
University of Leipzig
University of Zurich
University of Chicago
Alma mater University of Greifswald
Ludwig Maximilian University of Munich
Doctoral advisor Arnold Sommerfeld
Doctoral students Valentine Bargmann
Markus Fierz
Burt Fried
Res Jost
Nicholas Kemmer
Felix Villars
Klaus Ruedenberg
Known for Wentzel–Kramers–Brillouin approximation
Quantum field theory
Notable awards Max Planck Medal (1975)

Gregor Wentzel (February 17, 1898 – August 12, 1978) was a German physicist known for development of quantum mechanics. Wentzel, Hendrik Kramers, and Léon Brillouin developed the Wentzel–Kramers–Brillouin approximation in 1926. In his early years, he contributed to X-ray spectroscopy, but then broadened out to make contributions to quantum mechanics, quantum electrodynamics, and meson theory.[1][2][3][4]


Wentzel began his university education in mathematics and physics in 1916, at the University of Freiburg. During 1917 and 1918, he served in the armed forces during World War I. He then resumed his education at Freiburg until 1919, when he went to the University of Greifswald. In 1920, he went to the Ludwig Maximilian University of Munich (LMU) to study under Arnold Sommerfeld. Wentzel was awarded his doctorate in 1921[5] and completed his Habilitation in 1922. He remained at LMU as a Privatdozent until he was called to the University of Leipzig in 1926 as an extraordinarius professor of mathematical physics. In 1926, Wentzel,[6] Hendrik Kramers,[7] and Léon Brillouin[8] independently developed what became known as the Wentzel–Kramers–Brillouin approximation, also known as the WKB approximation, classical approach, and phase integral method.[9] He became ordinarius professor in the Chair for Theoretical Physics, at the University of Zurich, when he succeeded Erwin Schrödinger, in 1928, the same year Wolfgang Pauli was appointed to the ETH Zurich. Together, Wentzel and Pauli built the reputation of Zurich as a center for theoretical physics. In 1948, Wentzel took a professorship at the University of Chicago. He retired in 1970 and went to spend his last years in Ascona, Switzerland. In 1975, he was awarded the Max Planck Medal.



  • Gregor Wentzel. Einführung in die Quantentheorie der Wellenfelder. Franz Deuticke, 1943, 1946. Ann Arbor, Michigan: J.w. Edwards, 1943, 1946. (Translated by Charlotte Houtermans[10] and J. M. Jauch, with an Appendix by J. M. Jauch. Quantum Theory of Fields. Interscience, 1949. Dover, 2003.) ISBN 0-486-43245-9
  • Gregor Wentzel. Lectures on Strong Coupling Meson Theory at the University of Rochester. 1954.
  • Gregor Wentzel and notes by K. K. Gupta. Lectures on Special Topics in Field Theory. Lectures on Mathematics and Physics: Physics. Tata Institute of Fundamental Research, 1957.
  • Gregor Wentzel. Lectures on Special Topics in Quantum Mechanics. Lectures on Mathematics and Physics. Physics, 3. Tata Institute of Fundamental Research, 1965.


  • Arnold Sommerfeld and Gregor Wentzel. Über reguläre und irreguläre Dublett, Zeitschrift für Physik 7 86-92 (1921) as cited in Sommerfeld Bibliography.


  1. ^ Mehra. Volume 1, Part 1, 2001, p. 356.
  2. ^ Gregor Wentzel – ETH Bibliothek.
  3. ^ Jungnickel. Volume 2, 1990, p. 368.
  4. ^ Telegdi, V. L. (November 1978). "Obituary: Gregor Wentzel". Physics Today 31 (11): 85–86. Bibcode:1978PhT....31k..85T. doi:10.1063/1.2994844. 
  5. ^ Dissertation title: Zur Systematik der Röntgenspekten.
  6. ^ Gregor Wentzel. Eine Verallgemeinerun der Quantenbedingungen für die Zwecke der Wellenmechanik, Z. Physik. 38 518-529 (1926). As cited in Mehra, 2001, Volume 5, Part 2, p. 961.
  7. ^ H. A. Kramers. Wellenmechanik und halbzahlige Quantisierung, Z. Physik. 39 828-840 (1926). As cieted in Mehra, 2001, Volume 5, Part 2, p. 920.
  8. ^ Léon Brillouin. La mécanique ondulatoire de Schrödinger; une méthode générale de resolution par approximations successives, Comptes rendus (Paris) 183 24-26 (1926). As cieted in Mehra, 2001, Volume 5, Part 2, p. 882.
  9. ^ Schiff. 1968, p. 269.
  10. ^ Charlotte Houtermans nee Riefenstahl was married to Fritz Houtermans.


  • Jungnickel, Christa and Russell McCormmach. Intellectual Mastery of Nature. Theoretical Physics from Ohm to Einstein, Volume 1: The Torch of Mathematics, 1800 to 1870. University of Chicago Press, paper cover, 1990. ISBN 0-226-41582-1
  • Jungnickel, Christa and Russell McCormmach. Intellectual Mastery of Nature. Theoretical Physics from Ohm to Einstein, Volume 2: The Now Mighty Theoretical Physics, 1870 to 1925. University of Chicago Press, Paper cover, 1990. ISBN 0-226-41585-6
  • Mehra, Jagdish, and Helmut Rechenberg. The Historical Development of Quantum Theory. Volume 1 Part 1 The Quantum Theory of Planck, Einstein, Bohr and Sommerfeld 1900–1925: Its Foundation and the Rise of Its Difficulties. Springer, 2001. ISBN 0-387-95174-1
  • Mehra, Jagdish, and Helmut Rechenberg. The Historical Development of Quantum Theory. Volume 5 Erwin Schrödinger and the Rise of Wave Mechanics. Part 2 Schrödinger in Vienna and Zurich 1887-1925. Springer, 2001. ISBN 0-387-95180-6
  • Schiff, Leonard I. Quantum Mechanics. McGraw-Hill, 3rd edition, 1968.

Further reading[edit]

  • Peter G. O. Freund, Charles J. Goebel, and Yoichiro Nambu, Editors. Quanta: Collection of Papers Dedicated to Gregor Wentzel. University of Chicago Press, 1970.

External links[edit]