English

Generalized Heisenberg algebra and (non linear) pseudo-bosons

Mathematical Physics 2018-04-04 v1 math.MP Quantum Physics

Abstract

We propose a deformed version of the generalized Heisenberg algebra by using techniques borrowed from the theory of pseudo-bosons. In particular, this analysis is relevant when non self-adjoint Hamiltonians are needed to describe a given physical system. We also discuss relations with nonlinear pseudo-bosons. Several examples are discussed.

Keywords

Cite

@article{arxiv.1802.03369,
  title  = {Generalized Heisenberg algebra and (non linear) pseudo-bosons},
  author = {Fabio Bagarello and Evaldo M. F. Curado and Jean-Pierre Gazeau},
  journal= {arXiv preprint arXiv:1802.03369},
  year   = {2018}
}

Comments

Accepted in Journal of Physics A

R2 v1 2026-06-23T00:17:20.709Z