Para-Grassmann Variables and Coherent States

The definitions of para-Grassmann variables and q-oscillator algebras are recalled. Some new properties are given. We then introduce appropriate coherent states as well as their dual states. This allows us to obtain a formula for the trace of a operator expressed as a function of the creation and an...

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Bibliographic Details
Main Authors:	Daniel C. Cabra, Enrique F. Moreno, Adrian Tanasă
Format:	Article
Language:	English
Published:	National Academy of Science of Ukraine 2006-12-01
Series:	Symmetry, Integrability and Geometry: Methods and Applications
Subjects:	para-Grassmann variables q-oscillator algebra coherent states
Online Access:	http://www.emis.de/journals/SIGMA/2006/Paper087/

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spelling	doaj-3c0c36c3f2144a31989bd2f8fda70ff62020-11-24T23:06:27ZengNational Academy of Science of UkraineSymmetry, Integrability and Geometry: Methods and Applications1815-06592006-12-012087Para-Grassmann Variables and Coherent StatesDaniel C. CabraEnrique F. MorenoAdrian TanasăThe definitions of para-Grassmann variables and q-oscillator algebras are recalled. Some new properties are given. We then introduce appropriate coherent states as well as their dual states. This allows us to obtain a formula for the trace of a operator expressed as a function of the creation and annihilation operators.http://www.emis.de/journals/SIGMA/2006/Paper087/para-Grassmann variablesq-oscillator algebracoherent states
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Daniel C. Cabra Enrique F. Moreno Adrian Tanasă
spellingShingle	Daniel C. Cabra Enrique F. Moreno Adrian Tanasă Para-Grassmann Variables and Coherent States Symmetry, Integrability and Geometry: Methods and Applications para-Grassmann variables q-oscillator algebra coherent states
author_facet	Daniel C. Cabra Enrique F. Moreno Adrian Tanasă
author_sort	Daniel C. Cabra
title	Para-Grassmann Variables and Coherent States
title_short	Para-Grassmann Variables and Coherent States
title_full	Para-Grassmann Variables and Coherent States
title_fullStr	Para-Grassmann Variables and Coherent States
title_full_unstemmed	Para-Grassmann Variables and Coherent States
title_sort	para-grassmann variables and coherent states
publisher	National Academy of Science of Ukraine
series	Symmetry, Integrability and Geometry: Methods and Applications
issn	1815-0659
publishDate	2006-12-01
description	The definitions of para-Grassmann variables and q-oscillator algebras are recalled. Some new properties are given. We then introduce appropriate coherent states as well as their dual states. This allows us to obtain a formula for the trace of a operator expressed as a function of the creation and annihilation operators.
topic	para-Grassmann variables q-oscillator algebra coherent states
url	http://www.emis.de/journals/SIGMA/2006/Paper087/
work_keys_str_mv	AT danielccabra paragrassmannvariablesandcoherentstates AT enriquefmoreno paragrassmannvariablesandcoherentstates AT adriantanasa paragrassmannvariablesandcoherentstates
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Para-Grassmann Variables and Coherent States

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