Non linear pseudo-bosons

TL;DR

This paper extends the concept of pseudo-bosons to operators with more general spectra, broadening the applicability of the framework to various physical systems.

Contribution

It introduces a generalized construction of pseudo-bosons with diverse spectra, expanding previous models to more complex and realistic physical scenarios.

Findings

Extended pseudo-boson framework to broader spectra

Applicable to a wider range of physical systems

Provides several illustrative examples

Abstract

In a series of recent papers the author has introduced the notion of (regular) pseudo-bosons showing, in particular, that two number-like operators, whose spectra are ${\Bbb N}_0:={\Bbb N}\cup\{0\}$, can be naturally introduced. Here we extend this construction to operators with rather more general spectra. Of course, this generalization can be applied to many more physical systems. We discuss several examples of our framework.