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
Published in:arXiv.org 2006-12
Main Authors: Cabra, Daniel C, Moreno, Enrique F, Tanasa, Adrian
Format: Article
Language:English
Subjects:
Mathematical analysis
Operators (mathematics)
Online Access:Get full text
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Summary: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.
ISSN:2331-8422
DOI:10.48550/arxiv.0609217