Pseudo-Fermionic Coherent States

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 $H={\eta }^{-1}{H}^{+}\eta$