Examples of Pseudo-bosons in quantum mechanics

Details Examples of Pseudo-bosons in quantum mechanics Examples of Pseudo-bosons in quantum mechanics

2010-07-25

arxiv.org/abs/1007.4349v1

Physics

Mathematical Physics

in press in Phys. Lett. A

Scientific paper

We discuss two physical examples of the so-called {\em pseudo-bosons}, recently introduced in connection with pseudo-hermitian quantum mechanics. In particular, we show that the so-called {\em extended harmonic oscillator} and the {\em Swanson model} satisfy all the assumptions of the pseudo-bosonic framework introduced by the author. We also prove that the biorthogonal bases they produce are not Riesz bases.

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