Path integral representation of the evolution operator for the Dirac equation

被引：0

作者：

Lukyanenko, Alexander S. ^{[1
]}

Lukyanenko, Inna A. ^{[2
]}

机构：

[1] St Petersburg State Univ, Dept Expt Phys, Polytekhnicheskaya 29, St Petersburg 195251, Russia

[2] St Petersburg State Univ, Dept Math, St Petersburg 198504, Russia

来源：

NANODESIGN, TECHNOLOGY, AND COMPUTER SIMULATIONS | 2007年 / 6597卷

关键词：

external electromagnetic field; Dirac equation; path integral;

D O I：

10.1117/12.726706

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

A path integral representation of the evolution operator for the four-dimensional Dirac equation is proposed. A quadratic form of the canonical momenta regularizes the original representation of the path integral in the electron phase space. This regularization allows one to obtain a representation of the path integral over trajectories in the configuration space. This form of the path integral is useful for the formulation of perturbation theory in an external electromagnetic field.

引用

页数：7