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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
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
Citation:
Daniel C. Cabra, Enrique F. Moreno, A. Tanasă, “Para-Grassmann Variables and Coherent States”, SIGMA, 2 (2006), 087, 8 pp.
Linking options:
https://www.mathnet.ru/eng/sigma115 https://www.mathnet.ru/eng/sigma/v2/p87
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