Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)

SIGMA 2 (2006), 087, 8 pages      hep-th/0609217
Contribution to the Proceedings of the O'Raifeartaigh Symposium

Para-Grassmann Variables and Coherent States

Daniel C. Cabra a, b, c, Enrique F. Moreno c, d and Adrian Tanasă e
a) Laboratoire de Physique Théorique, CNRS UMR 7085, Université L. Pasteur, 3 rue de l'Université, F-67084 Strasbourg Cedex, France
b) Facultad de Inginería, Universidad Nacional de lomas de Zamora, Cno. de Cintura y Juan XXIII, (1832) Lomas de Zamora, Argentina
c) Departamento de Física, Facultad de Ciencias Exactas, Universidad Nacional de La Plata, C. C. 67, 1900 La Plata, 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

Received September 29, 2006, in final form November 22, 2006; Published online December 07, 2006

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.

Key words: para-Grassmann variables; q-oscillator algebra; coherent states.

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