Generally covariant Quantum Mechanics

TL;DR

This paper develops a comprehensive, generalized framework for quantum mechanics that incorporates general covariance, extending Bargmann's theory of ray representations to a more universal setting.

Contribution

It introduces a complete, generalized theory of quantum mechanics that accounts for general covariance, expanding upon Bargmann's theory of ray representations.

Findings

Unified framework for generally covariant quantum mechanics

Extension of Bargmann's theory to new contexts

Foundations for further theoretical development

Abstract

We present a complete theory, which is a generalization of Bargmann's theory of factors for ray representations. We apply the theory to the generally covariant formulation of the Quantum Mechanics.