On the verge of Umdeutung in Minnesota: Van Vleck and the correspondence principle. Part two

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On the verge of Umdeutung in Minnesota: Van Vleck and the correspondence principle ?

In October 1924, The Physical Review, a relatively minor journal at the time, published a remarkable two-part paper by John H. Van Vleck, working in virtual isolation at the University of Minnesota. Van Vleck used Bohr’s correspondence principle and Einstein’s quantum theory of radiation to find quantum formulae for the emission, absorption, and dispersion of radiation. The paper is similar but...

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This is the second installment of a two-part paper on developments in quantum dispersion theory leading up to Heisenberg’s Umdeutung paper. In telling this story, we have taken a paper by John H. Van Vleck (1924b,c) as our main guide. In this second part we present the detailed derivations on which our narrative in the first part rests. The central result that we shall derive is the Kramers dis...

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ژورنال

عنوان ژورنال: Archive for History of Exact Sciences

سال: 2007

ISSN: 0003-9519,1432-0657

DOI: 10.1007/s00407-007-0009-3