Non linear pseudo-bosons versus hidden Hermiticity
Abstract
The increasingly popular concept of a hidden Hermiticity of operators (i.e., of their Hermiticity with respect to an ad hoc inner product in Hilbert space) is compared with the recently introduced notion of 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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