Star Products for Relativistic Quantum Mechanics
P. Henselder
TL;DR
This paper introduces a covariant star product formalism to extend the nonrelativistic star product approach to relativistic quantum mechanics within the proper time framework.
Contribution
It develops a covariant star product formalism to adapt the star product method for relativistic quantum mechanics, enhancing its applicability.
Findings
Successfully formulated a covariant star product for relativistic settings
Extended the star product formalism to the proper time formulation
Provides a foundation for further relativistic quantum mechanics studies
Abstract
The star product formalism has proved to be an alternative formulation for nonrelativistic quantum mechanics. We want introduce here a covariant star product in order to extend the star product formalism to relativistic quantum mechanics in the proper time formulation.
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Taxonomy
TopicsAlgebraic and Geometric Analysis · Quantum Mechanics and Applications · Relativity and Gravitational Theory