Para-Grassmann variables and coherent states

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2006
• Main Authors: Cabra, D.C., Moreno, E.F., Tanasă, A.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2006
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/146066
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Para-Grassmann variables and coherent states / D.C. Cabra, E.F. Moreno, A. Tanasă // Symmetry, Integrability and Geometry: Methods and Applications. — 2006. — Т. 2. — Бібліогр.: 25 назв. — англ.

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...