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Arnold Sommerfeld

Arnold Johannes Wilhelm Sommerfeld, ForMemRS[1] (German: [ˈzɔmɐˌfɛlt]; 5 December 1868 – 26 April 1951) was a German theoretical physicist who pioneered developments in atomic and quantum physics, and also educated and mentored many students for the new era of theoretical physics. He served as doctoral supervisor and postdoc supervisor to seven Nobel Prize winners and supervised at least 30 other famous physicists and chemists. Only J. J. Thomson's record of mentorship offers a comparable list of high-achieving students.

"Sommerfeld" redirects here. For other uses, see Sommerfeld (disambiguation).

He introduced the second quantum number, azimuthal quantum number, and the third quantum number, magnetic quantum number.[2] He also introduced the fine-structure constant and pioneered X-ray wave theory.

Early life and education[edit]

Sommerfeld was born in 1868 to a family with deep ancestral roots in Prussia. His mother Cäcilie Matthias (1839–1902) was the daughter of a Potsdam builder. His father Franz Sommerfeld (1820–1906) was a physician from a leading family in Königsberg, where Arnold's grandfather had resettled from the hinterland in 1822 for a career as Court Postal Secretary in the service of the Kingdom of Prussia. Sommerfeld was baptized a Christian in his family's Prussian Evangelical Protestant Church, and although not religious, he would never renounce his Christian faith.[3][4][5]


Sommerfeld studied mathematics and physical sciences at the Albertina University of his native city, Königsberg, East Prussia. His dissertation advisor was the mathematician Ferdinand von Lindemann,[6] and he also benefited from classes with mathematicians Adolf Hurwitz and David Hilbert and physicist Emil Wiechert.[7] His participation in the student fraternity Deutsche Burschenschaft resulted in a dueling scar on his face.[8] He received his Ph.D. on 24 October 1891 (age 22).[9]


After receiving his doctorate, Sommerfeld remained at Königsberg to work on his teaching diploma. He passed the national exam in 1892 and then began a year of military service, which was done with the reserve regiment in Königsberg. He completed his obligatory military service in September 1893, and for the next eight years continued voluntary eight-week military service. With his turned up moustache, his physical build, his Prussian bearing, and the fencing scar on his face, he gave the impression of being a colonel in the hussars.[8]

Career[edit]

Göttingen[edit]

In October 1893, Sommerfeld went to the University of Göttingen, which was the center of mathematics in Germany.[10] There, he became assistant to Theodor Liebisch, at the Mineralogical Institute, through a fortunate personal contact – Liebisch had been a professor at the University of Königsberg and a friend of the Sommerfeld family.[11]


In September 1894, Sommerfeld became Felix Klein's assistant, which included taking comprehensive notes during Klein's lectures and writing them up for the Mathematics Reading Room, as well as managing the reading room.[8] Sommerfeld's Habilitationsschrift[12] was completed under Klein, in 1895, which allowed Sommerfeld to become a Privatdozent at Göttingen.[13] As a Privatdozent, Sommerfeld lectured on a wide range of mathematical and mathematical physics topics. His lectures on partial differential equations were first offered at Göttingen,[8] and they evolved over his teaching career to become Volume VI of his textbook series Lectures on Theoretical Physics, under the title Partial Differential Equations in Physics.[14]

ISBN

Arnold Sommerfeld, "Uber die Ausbreitung der Wellen in der Drahtlosen Telegraphie" (The Propagation of Waves in Wireless Telegraphy), Ann. Physik [4] 28, 665 (1909); 62, 95 (1920); 81, 1135 (1926).

Arnold Sommerfeld, "Some Reminiscences of My Teaching Career", American Journal of Physics Volume 17, Number 5, 315–316 (1949). Address upon receipt of the 1948 Oersted Medal.

List of things named after Arnold Sommerfeld

Annotated bibliography for Arnold Sommerfeld from the Alsos Digital Library for Nuclear Issues

– American Philosophical Society (includes information on his students.)

Arnold Sommerfeld Biography

– Zurich ETH-Bibliothek

Arnold Sommerfeld Biography

– The Mathematics Genealogy Project

Arnold Sommerfeld's Students

Presentation, including many historical pictures

Hans Bethe talking about his time as Sommerfeld's Student on Peoples Archive

– Sommerfeld's 1921 introduction to special and general relativity for general audiences (German) (Archived 3 March 2016 at the Wayback Machine)

Relativitätstheorie

– Leibniz-Rechenzentrum der Wissenschaften

Sommerfeld-Project

at Project Gutenberg

Works by Arnold Sommerfeld

at Internet Archive

Works by or about Arnold Sommerfeld

of digitized materials related to Sommerfeld's and Linus Pauling's structural chemistry research.

A collection

Archived 15 June 2022 at the Wayback Machine

Arnold Sommerfeld and Condensed Matter Physics, Annual Review of Condensed Matter Physics Vol. 8:31–49