Construction of pseudo-bosons systems

Details Construction of pseudo-bosons systems Construction of pseudo-bosons systems

2010-03-24

arxiv.org/abs/1003.4620v1

Physics

Mathematical Physics

In press in Journal of Mathematical Physics

Scientific paper

In a recent paper we have considered an explicit model of a PT-symmetric system based on a modification of the canonical commutation relation. We have introduced the so-called {\em pseudo-bosons}, and the role of Riesz bases in this context has been analyzed in detail. In this paper we consider a general construction of pseudo-bosons based on an explicit {coordinate-representation}, extending what is usually done in ordinary supersymmetric quantum mechanics. We also discuss an example arising from a linear modification of standard creation and annihilation operators, and we analyze its connection with coherent states.

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