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2019 Wigner Functions and Weyl Operators on the Euclidean Motion Group
Laarni B. Natividad, Job A. Nable
J. Geom. Symmetry Phys. 54: 37-54 (2019). DOI: 10.7546/jgsp-54-2019-37-54

Abstract

The Wigner distribution function is one of the pillars of the phase space formulation of quantum mechanics. Its original formulation may be cast in terms of the unitary representations of the Weyl–Heisenberg group. Following the construction proposed by Wolf and coworkers in constructing the Wigner functions for general Lie groups using the irreducible unitary representations of the groups, we develop here the Wigner functions and Weyl operators on the Euclidean motion group of rank three. We give complete derivations and proofs of their important properties.

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Laarni B. Natividad. Job A. Nable. "Wigner Functions and Weyl Operators on the Euclidean Motion Group." J. Geom. Symmetry Phys. 54 37 - 54, 2019. https://doi.org/10.7546/jgsp-54-2019-37-54

Information

Published: 2019
First available in Project Euclid: 5 January 2020

zbMATH: 1431.81084
Digital Object Identifier: 10.7546/jgsp-54-2019-37-54

Rights: Copyright © 2019 Institute of Biophysics and Biomedical Engineering, Bulgarian Academy of Sciences

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