Wigner Functions and Weyl Operators on the Euclidean Motion Group

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 Wigne...

Full description

Saved in:

Bibliographic Details
Main Authors:	Natividad, Laarni B, Nable, Job A
Format:	text
Published:	Archīum Ateneo 2020
Subjects:	Wigner functions Weyl operators Euclidean motion group Mathematics
Online Access:	https://archium.ateneo.edu/mathematics-faculty-pubs/57 https://projecteuclid.org/euclid.jgsp/1578193228
Tags:	Add Tag No Tags, Be the first to tag this record!
Institution:	Ateneo De Manila University

id	ph-ateneo-arc.mathematics-faculty-pubs-1056
record_format	eprints
spelling	ph-ateneo-arc.mathematics-faculty-pubs-10562020-03-09T02:13:42Z Wigner Functions and Weyl Operators on the Euclidean Motion Group Natividad, Laarni B Nable, Job A 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. 2020-01-01T08:00:00Z text https://archium.ateneo.edu/mathematics-faculty-pubs/57 https://projecteuclid.org/euclid.jgsp/1578193228 Mathematics Faculty Publications Archīum Ateneo Wigner functions Weyl operators Euclidean motion group Mathematics
institution	Ateneo De Manila University
building	Ateneo De Manila University Library
country	Philippines
collection	archium.Ateneo Institutional Repository
topic	Wigner functions Weyl operators Euclidean motion group Mathematics
spellingShingle	Wigner functions Weyl operators Euclidean motion group Mathematics Natividad, Laarni B Nable, Job A Wigner Functions and Weyl Operators on the Euclidean Motion Group
description	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.
format	text
author	Natividad, Laarni B Nable, Job A
author_facet	Natividad, Laarni B Nable, Job A
author_sort	Natividad, Laarni B
title	Wigner Functions and Weyl Operators on the Euclidean Motion Group
title_short	Wigner Functions and Weyl Operators on the Euclidean Motion Group
title_full	Wigner Functions and Weyl Operators on the Euclidean Motion Group
title_fullStr	Wigner Functions and Weyl Operators on the Euclidean Motion Group
title_full_unstemmed	Wigner Functions and Weyl Operators on the Euclidean Motion Group
title_sort	wigner functions and weyl operators on the euclidean motion group
publisher	Archīum Ateneo
publishDate	2020
url	https://archium.ateneo.edu/mathematics-faculty-pubs/57 https://projecteuclid.org/euclid.jgsp/1578193228
_version_	1681506545045602304

Wigner Functions and Weyl Operators on the Euclidean Motion Group

Similar Items