Non linear pseudo-bosons versus hidden Hermiticity
Mathematical Physics
2012-01-16 v1 Functional Analysis
math.MP
Quantum Physics
Abstract
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.
Cite
@article{arxiv.1109.0605,
title = {Non linear pseudo-bosons versus hidden Hermiticity},
author = {Fabio Bagarello and Miloslav Znojil},
journal= {arXiv preprint arXiv:1109.0605},
year = {2012}
}
Comments
20 pp