Daniel C. Cabra, Enrique F. Moreno, A. Tanasă, “Para-Grassmann Variables and Coherent States”, SIGMA, 2006, Volume 2,087, 8 pp.

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JOURNALS // Symmetry, Integrability and Geometry: Methods and Applications // Archive

SIGMA, 2006 Volume 2, 087, 8 pp. (Mi sigma115)

This article is cited in 12 papers

Para-Grassmann Variables and Coherent States

Daniel C. Cabra^abc, Enrique F. Moreno^bd, A. Tanasă^e

^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

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.

MSC: 81R30; 81R50; 17B37

Received: September 29, 2006; in final form November 22, 2006; Published online December 7, 2006

Language: English

DOI: 10.3842/SIGMA.2006.087

Bibliographic databases:

ArXiv: hep-th/0609217

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