Pseudo-fermionic coherent states. (English) Zbl 1171.81397

Cherbal, Omar; Drir, Mahrez

J. Geom. Symmetry Phys. 14, 13-19 (2009).

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