Para-Grassmann Variables and Coherent States
Daniel C. Cabra, Enrique F. Moreno, Adrian Tanasa
TL;DR
This paper explores para-Grassmann variables and q-oscillator algebras, introducing new properties and coherent states to facilitate operator trace calculations in quantum algebra contexts.
Contribution
It introduces new properties of para-Grassmann variables and constructs coherent states for q-oscillator algebras, enabling trace formulas for operators.
Findings
New properties of para-Grassmann variables identified
Coherent states and dual states constructed for q-oscillators
Trace formulas for operators expressed via creation and annihilation operators derived
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.
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