Non linear pseudo-bosons versus hidden Hermiticity

Details Non linear pseudo-bosons versus hidden Hermiticity Non linear pseudo-bosons versus hidden Hermiticity

2011-09-03

arxiv.org/abs/1109.0605v1

J. Phys. A: Math. Theor. 44 (2011) 415305

Physics

Mathematical Physics

20 pp

Scientific paper

10.1088/1751-8113/44/41/415305

The increasingly popular concept of a hidden Hermiticity of operators (i.e., of their Hermiticity with respect to an {\it ad hoc} inner product in Hilbert space) is compared with the recently introduced notion of {\em non-linear pseudo-bosons}. The formal equivalence between these two notions is deduced under very general assumptions. Examples of their applicability in quantum mechanics are discussed.

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