Translator Disclaimer
VOL. 10 | 2009 Pseudo-Fermionic Coherent States
Omar Cherbal, Mahrez Drir

Editor(s) Ivaïlo M. Mladenov, Gaetano Vilasi, Akira Yoshioka

Abstract

We have generalized the fermionic coherent states to pseudo-fermion oscillator system. The system of coherent states constructed consist of two subsets, which are bi-normalized and bi-overcomplete. The two subsets are built up as eigenstates of two annihilation operators $b$ and $\tilde{b} = \eta b \eta^{-1}$ of respectively $H$ and $H^+$ where $\eta$ is the Hermitian and invertible operator that ensures the pseudo-Hermiticity of the Hamiltonian $H = \eta^{-1} H^+ \eta$

Information

Published: 1 January 2009
First available in Project Euclid: 13 July 2015

zbMATH: 1179.81094
MathSciNet: MR2757831

Digital Object Identifier: 10.7546/giq-10-2009-158-163

Rights: Copyright © 2009 Institute of Biophysics and Biomedical Engineering, Bulgarian Academy of Sciences

PROCEEDINGS ARTICLE
6 PAGES


SHARE
Back to Top