The Kramers–Heisenberg formula serves as a foundational element of modern theoretical physics, representing a breakthrough in understanding how electromagnetic waves interact with matter. Developed in 1925, this contribution remains one of many analytical tools established by the Dutch physicist during a career that spanned institutions from Copenhagen to Leiden and Utrecht.
Academic Formation and Early Research
Born in Rotterdam in 1894, Hendrik Anthony Kramers completed his secondary education in 1912 before enrolling at Leiden University. He obtained a master's degree in 1916. Seeking international experience during the First World War, he travelled to Copenhagen. There, he joined the research group of Niels Bohr, focusing his doctoral work on the intensities of atomic transitions. He formally earned his Ph.D. under Paul Ehrenfest at Leiden in 1919.
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Kramers held academic appointments at the University of Copenhagen, Utrecht University, and eventually succeeded Ehrenfest at Leiden University in 1934. His research output includes the Kramers–Kronig relations, the Kramers–Moyal expansion, and the Kramers–Wannier duality. In 1948, he introduced concepts concerning renormalization into quantum field theory. His work extended to industrial applications through his time at Bataafse Petroleum Maatschappij between 1941 and 1945.
Professional Recognition and Membership
His influence was acknowledged through memberships in several international bodies, including the Royal Netherlands Academy of Arts and Sciences, the Royal Danish Academy of Sciences and Letters, and the American Philosophical Society. He served as a chairperson from 1947 to 1951. His honors included the Lorentz Medal in 1947 and the Hughes Medal in 1951, alongside honorary doctorates from the Universities of Toulouse and Paris.
Fast facts
- Born: 1894, Rotterdam
- Died: 1952, Oegstgeest
- Education: Leiden University, University of Copenhagen
- Key Recognition: Lorentz Medal (1947)
- Key Recognition: Hughes Medal (1951)
- Citizenship: Kingdom of the Netherlands
Questions readers ask
What subjects did Hans Kramers research?
He focused on physics, theoretical physics, and quantum field theory.
Where did he hold teaching positions?
He held positions at the University of Copenhagen, Utrecht University, Delft University of Technology, and Leiden University.
Achievements
- Lorentz Medal — 1947
- Hughes Medal — 1951
- Notable work: Kramers theorem
- Notable work: Kramers' law
- Notable work: Kramers' opacity law
- Notable work: Kramers–Heisenberg formula
- Held posts at Bataafse Petroleum Maatschappij, Delft University of Technology and Leiden University
- Educated at Leiden University and University of Copenhagen
- Fields of research: physics, quantum field theory and theoretical physics
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