## Pseudo-fermionic coherent states.(English)Zbl 1171.81397

Summary: 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 $$H=\eta^{-1}H^+\eta$$.

### MSC:

 81R30 Coherent states