Coherent Gamow states for the hyperbolic Pöschl–Teller potential

Abstract

We have defined a pair of families of coherent states using creation and annihilation operators relating the Gamow states, vector states for non-relativistic quantum resonances. We have used an explicit one dimensional model, for which these operators may be explicitly written: the one dimensional P¨oschl-Teller Hamiltonian. We have shown that this model may serve as an example for the pseudo-boson formalism.