Equivalence between Schwinger and Dirac schemes of quantization

TL;DR

This paper demonstrates the equivalence between Schwinger's modified quantization method and Dirac's approach for systems with constraints, highlighting how gauge choices and constraints are incorporated in the quantization process.

Contribution

It introduces a modified Schwinger quantization method that implicitly includes constraints and gauge choices, and proves its equivalence to Dirac's method.

Findings

Proof of equivalence between Schwinger- and Dirac-methods

Modified Schwinger method incorporates constraints and gauge conditions

Clarifies the relationship between different quantization schemes

Abstract

This paper introduces the modified version of Schwinger's quantization method, in which the information on constraints and the choice of gauge conditions are included implicitly in the choice of variations used in quantization scheme. A proof of equivalence between Schwinger- and Dirac-methods for constraint systems is given.