On the construction of generalized Grassmann representatives of state vectors

Abstract

Generalized $Z_k$-graded Grassmann variables are used to label coherent states related to the nilpotent representation of the q-oscillator of Biedenharn and Macfarlane when the deformation parameter is a root of unity. These states are then used to construct generalized Grassmann representatives of state vectors.

8 pages

References in corpus (1)

• Z3-graded Grassmann Variables, Parafermions and their Coherent States

Cited by in corpus (1)

• Para-Grassmannian Coherent and Squeezed States for Pseudo-Hermitian q-Oscillator and their Entanglement