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Symmetry, Integrability and Geometry: Methods and Applications, 2006, Volume 2, 087, 8 pp.
DOI: https://doi.org/10.3842/SIGMA.2006.087 (Mi sigma115) 		 
This article is cited in 12 scientific papers (total in 12 papers)

Para-Grassmann Variables and Coherent States

Daniel C. Cabraabc, Enrique F. Morenobd, A. Tanasăe

a Laboratoire de Physique Théorique, CNRS UMR 7085, Université L. Pasteur, 3 rue de l'Université, F-67084 Strasbourg Cedex, France
b Departamento de Física, Facultad de Ciencias Exactas, Universidad Nacional de La Plata, C. C. 67, 1900 La Plata, Argentina
c Facultad de Inginería, Universidad Nacional de lomas de Zamora, Cno. de Cintura y Juan XXIII, (1832) Lomas de Zamora, Argentina
d Department of Physics, West Virginia University, Morgantown, West Virginia 26506-6315, USA
e Laboratoire de Physique Théorique, Bât. 210, CNRS UMR 8627, Université Paris XI, F-91405 Orsay Cedex, France
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DOI: https://doi.org/10.3842/SIGMA.2006.087
Abstract: 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.
Keywords: para-Grassmann variables; $q$-oscillator algebra; coherent states.
Received: September 29, 2006; in final form November 22, 2006; Published online December 7, 2006
Bibliographic databases:
Document Type: Article
MSC: 81R30; 81R50; 17B37
Language: English
Citation: Daniel C. Cabra, Enrique F. Moreno, A. Tanasă, “Para-Grassmann Variables and Coherent States”, SIGMA, 2 (2006), 087, 8 pp.
Citation in format AMSBIB
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\by Daniel C.~Cabra, Enrique F.~Moreno, A.~Tanas{\u a}
\paper Para-Grassmann Variables and Coherent States
\jour SIGMA
\yr 2006
\vol 2
\papernumber 087
\totalpages 8
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    • This publication is cited in the following 12 articles:
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    		Symmetry, Integrability and Geometry: Methods and Applications
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