An analog of the Feynman-Kac formula for Dirac's electron in electromagnetic field and the correspondence principle

2015/06/12 by A. A. Beilinson, Beilinson, A. A.
Mathematics · Physics and Astronomy · #FOS: Physical sciences #Mathematical Physics (math-ph) #math-ph #math.MP

paper · pdf · doi:10.48550/arxiv.1506.04034

arxiv created 2015/06/12 · arxiv updated 2015/06/15

Abstract

The article describes a relation between the fundamental solutions of Dirac's equations for free electron and electron in given electromagnetic field viewed as functionals on bump functions. We explain how classical relativistic mechanics of a charged particle in given electromagnetic field arises from quantum mechanics of Dirac's electron in that field.

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