This article is cited in 1 paper

Path integral over a $c$-number measure for interacting bosons and fermions

L. F. Novikov


Abstract: The matrix elements of the evolution operator of interacting bosons and fermions are represented as path integrals over coherent states on a Lie group. In the case of spinless electrons interacting with the electromagnetic field, this integral is transformed to an integral over the paths of the electrons in the three-dimensional space $E_3$. A scheme for constructing a path integral for electrons with spin degrees of freedom is proposed.

Received: 09.07.1981

 English version: Theoretical and Mathematical Physics, 1983, 54:2, 123–133

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