Hendrik Anthony "Hans" Kramers (1894 to 1952) was a Dutch physicist who worked with Niels Bohr on how electromagnetic waves interact with matter and who made important contributions to quantum mechanics and statistical physics. Born in Rotterdam, he studied mathematics and physics at the University of Leiden, prepared his doctoral research in Copenhagen under Bohr, and took his formal doctorate under Paul Ehrenfest in Leiden in 1919. After almost ten years in Bohr group he became professor of theoretical physics at Utrecht University, where he supervised Tjalling Koopmans, and in 1934 succeeded Ehrenfest at Leiden. His name is attached to the Kramers-Kronig relations, which tie the real and imaginary parts of causal complex functions together, to the Kramers-Heisenberg dispersion formula, to the WKB method, to Kramers degeneracy theorem and to the Kramers turnover in thermally activated barrier crossing. He also helped found the Mathematisch Centrum in Amsterdam.
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Source Hans Kramers (Wikipedia)
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Source Kramers-Kronig relations (Wikipedia)
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Source Hans Kramers (Wikipedia)LeadQuote, Lead
was a Dutch physicist
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1. MacTutor History of Mathematics: Hendrik Anthony Kramers (MacTutor)
MacTutor History of MathematicsBiographyQuote, Biography
He had shown exceptional abilities and interests at school
View the Source 2. Hans Kramers (Wikipedia)
Background and education
Hans Kramers was born on 17 December 1894 in Rotterdam.
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was a Dutch physicist
Principal Result: Kramers-Kronig Relations, Academic career
He is also credited for the Kramers-Kronig relations with Ralph Kronig which are mathematical equations relating real and imaginary parts of complex functions constrained by causality.
View the SourceKramers-Kronig relations (Wikipedia)
Proofs Credited: Kramers-Kronig Relations, Lead sentenceQuote, Proofs Credited: Kramers-Kronig Relations, Lead sentence
The relation is named in honor of Ralph Kronig and Hans Kramers.
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