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2009 Pseudo-Fermionic Coherent States
Omar Cherbal, Mahrez Drir
J. Geom. Symmetry Phys. 14: 13-19 (2009). DOI: 10.7546/jgsp-14-2009-13-19

Abstract

We have generalized the fermionic coherent states to pseudo-fer\-mion 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 $H=\eta^{-1}H^+\eta$.

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Omar Cherbal. Mahrez Drir. "Pseudo-Fermionic Coherent States." J. Geom. Symmetry Phys. 14 13 - 19, 2009. https://doi.org/10.7546/jgsp-14-2009-13-19

Information

Published: 2009
First available in Project Euclid: 24 May 2017

zbMATH: 1171.81397
MathSciNet: MR2536496
Digital Object Identifier: 10.7546/jgsp-14-2009-13-19

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

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