Para-Grassmann Variables and Coherent States

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.

This is a contribution to the Proc. of the O'Raifeartaigh Symposium on Non-Perturbative and Symmetry Methods in Field Theory (June 2006, Budapest, Hungary), published in SIGMA (Symmetry, Integrability and Geometry: Methods and Applications) at http://www.emis.de/journals/SIGMA/

References in corpus (5)

• A Fractional Supersymmetric Oscillator and Its Coherent States
• A note on Gaussian integrals over paragrassmann variables
• Clifford Algebras, Supersymmetry and $Z_n-$symmetries: Applications in Field Theory
• Path Integrals with Generalized Grassmann Variables
• q-Functional Wick's theorems for particles with exotic statistics

Cited by in corpus (5)

• Para-Grassmannian Coherent and Squeezed States for Pseudo-Hermitian q-Oscillator and their Entanglement
• Entanglement of Grassmannian Coherent States for Multi-Partite n-Level Systems
• On Linear Differential Equations Involving a Para-Grassmann Variable
• Nonlinear n-Pseudo Fermions
• Generalized Grassmann variables for quantum kit (k-level) systems and Barut-Girardello coherent states for su(r+1) algebras