IMPROVED CANONICAL QUANTIZATION METHOD OF SPINOR ELECTRODYNAMICS WITH SINGULAR LAGRANGIAN

Abstract

This paper analyzes the general interaction of spinor field and electromagnetic field, i.e. spinor electrodynamics with singular Lagrangian, and the improved canonical quantization method of spinor electrodynamics is given in order to overcome the problems of the second-class constraint linear combination and the first-class constraint number maximization brought by the traditional canonical quantization method. In the improved canonical quantization method, there are no problems of artificial linear combination and first-class constraint number maximization, at the same time, the stability of the system is considered. The improved canonical quantization method is more natural than the traditional way and we show that the results of the canonical quantization of spinor electrodynamics are equal to the results of the traditional way. For a general dynamical system with singular Lagrangian, one can extendingly use the improved canonical quantization method to quantize the system.