Non linear pseudo-bosons versus hidden Hermiticity

Fabio Bagarello, Miloslav Znojil

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.
Mathematical Physics (math-ph); Functional Analysis (math.FA); Quantum Physics (quant-ph)

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