An analog of the Feynman-Kac formula for Dirac's electron in electromagnetic field and the correspondence principle
arXiv:1506.04034
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.