Exploring the second class constraint quantization approach proposed by Batalin and Marnelius

Abstract

I extend upon the paper by Batalin and Marnelius, in which they show how to construct and quantize a gauge theory from a Hamiltonian system with second class constraints. Among the avenues explored, their technique is analyzed in relation to other well-known methods of quantization and a bracket is defined, such that the operator formalism can be fully developed. I also extend to systems with mixed class constraints and look at some simple examples.