Remarks on the representation theory of the Moyal plane
J.M. Isidro, P. Fernandez de Cordoba, J.M. Rivera-Rebolledo, J.L.G., Santander
TL;DR
This paper constructs an explicit unitary representation of the algebra of position and momentum operators on the Moyal plane, contributing to the understanding of noncommutative geometry in quantum physics.
Contribution
It provides a novel explicit construction of a unitary representation for the algebra governing the Moyal plane's noncommutative structure.
Findings
Explicit unitary representation of the algebra on the Moyal plane.
Enhanced understanding of noncommutative quantum geometry.
Potential applications in quantum physics and noncommutative field theories.
Abstract
We present an explicit construction of a unitary representation of the commutator algebra satisfied by position and momentum operators on the Moyal plane.
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