Bi-squeezed states arising from pseudo-bosons

Abstract

Extending our previous analysis on bi-coherent states, we introduce here a new class of quantum mechanical vectors, the \emph{bi-squeezed states}, and we deduce their main mathematical properties. We relate bi-squeezed states to the so-called regular and non regular pseudo-bosons. We show that these two cases are different, from a mathematical point of view. Some physical examples are considered.

In press in Journal of Physics A

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Cited by in corpus (6)

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• Susy for non-Hermitian Hamiltonians, with a view to coherent states
• Exact solution for the time dependent non-Hermitian generalized Swanson oscillator
• Some results on the rotated infinitely deep potential and its coherent states
• Extended coupled SUSY, pseudo-bosons and weak squeezed states