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arXiv · 1506.04034

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

A. A. Beilinson
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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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A. A. Beilinson. 2015-06-12. An analog of the Feynman-Kac formula for Dirac's electron in electromagnetic field and the correspondence principle. https://arxiv.org/abs/1506.04034

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