Generalized Heisenberg algebra and (non linear) pseudo-bosons

Fabio Bagarello, Bagarello, Curado, Jean Pierre Gazeau

Research output: Contribution to journalArticle

2 Citations (Scopus)

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.
Original languageEnglish
Pages (from-to)1-16
Number of pages16
JournalJOURNAL OF PHYSICS. A, MATHEMATICAL AND THEORETICAL
Volume51
Publication statusPublished - 2018

Fingerprint

Heisenberg Algebra
Bosons
Algebra
algebra
bosons
Hamiltonians

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Statistics and Probability
  • Modelling and Simulation
  • Mathematical Physics
  • Physics and Astronomy(all)

Cite this

Generalized Heisenberg algebra and (non linear) pseudo-bosons. / Bagarello, Fabio; Bagarello; Curado; Gazeau, Jean Pierre.

In: JOURNAL OF PHYSICS. A, MATHEMATICAL AND THEORETICAL, Vol. 51, 2018, p. 1-16.

Research output: Contribution to journalArticle

@article{c9c2f769d63a45bb8718767174b0cd95,
title = "Generalized Heisenberg algebra and (non linear) pseudo-bosons",
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.",
author = "Fabio Bagarello and Bagarello and Curado and Gazeau, {Jean Pierre}",
year = "2018",
language = "English",
volume = "51",
pages = "1--16",
journal = "Journal of Physics A: Mathematical and Theoretical",
issn = "1751-8113",
publisher = "IOP Publishing Ltd.",

}

TY - JOUR

T1 - Generalized Heisenberg algebra and (non linear) pseudo-bosons

AU - Bagarello, Fabio

AU - Bagarello, null

AU - Curado, null

AU - Gazeau, Jean Pierre

PY - 2018

Y1 - 2018

N2 - 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.

AB - 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.

UR - http://hdl.handle.net/10447/298851

UR - http://iopscience.iop.org/article/10.1088/1751-8121/aaad6d/pdf

M3 - Article

VL - 51

SP - 1

EP - 16

JO - Journal of Physics A: Mathematical and Theoretical

JF - Journal of Physics A: Mathematical and Theoretical

SN - 1751-8113

ER -