# $\mathcal D$ -Deformed Harmonic Oscillators

Fabio Bagarello, Francesco Gargano, Gargano, Bagarello

Research output: Contribution to journalArticle

13 Citations (Scopus)

### Abstract

We analyze systematically several deformations arising from two-dimensional harmonic oscillators which can be described in terms ofD-pseudo bosons. They all give rise toexactly solvable models, described by non self-adjoint hamiltonians whose eigenvalues and eigenvectors can be found adopting the quite general framework of the so-calledD-pseudo bosons. In particular, we show that several models previously introduced in the literature perfectly fit into this scheme.
Original language English 4110-4123 14 International Journal of Theoretical Physics 54 Published - 2015

### Fingerprint

Harmonic Oscillator
Bosons
harmonic oscillators
bosons
Solvable Models
Eigenvalues and Eigenvectors
eigenvectors
eigenvalues
Term
Model
Framework

### All Science Journal Classification (ASJC) codes

• Mathematics(all)
• Physics and Astronomy (miscellaneous)

### Cite this

$\mathcal D$ -Deformed Harmonic Oscillators. / Bagarello, Fabio; Gargano, Francesco; Gargano; Bagarello.

In: International Journal of Theoretical Physics, Vol. 54, 2015, p. 4110-4123.

Research output: Contribution to journalArticle

title = "$\mathcal D$ -Deformed Harmonic Oscillators",
abstract = "We analyze systematically several deformations arising from two-dimensional harmonic oscillators which can be described in terms ofD-pseudo bosons. They all give rise toexactly solvable models, described by non self-adjoint hamiltonians whose eigenvalues and eigenvectors can be found adopting the quite general framework of the so-calledD-pseudo bosons. In particular, we show that several models previously introduced in the literature perfectly fit into this scheme.",
author = "Fabio Bagarello and Francesco Gargano and Gargano and Bagarello",
year = "2015",
language = "English",
volume = "54",
pages = "4110--4123",
journal = "International Journal of Theoretical Physics",
issn = "0020-7748",
publisher = "Springer New York",

}

TY - JOUR

T1 - $\mathcal D$ -Deformed Harmonic Oscillators

AU - Bagarello, Fabio

AU - Gargano, Francesco

AU - Gargano, null

AU - Bagarello, null

PY - 2015

Y1 - 2015

N2 - We analyze systematically several deformations arising from two-dimensional harmonic oscillators which can be described in terms ofD-pseudo bosons. They all give rise toexactly solvable models, described by non self-adjoint hamiltonians whose eigenvalues and eigenvectors can be found adopting the quite general framework of the so-calledD-pseudo bosons. In particular, we show that several models previously introduced in the literature perfectly fit into this scheme.

AB - We analyze systematically several deformations arising from two-dimensional harmonic oscillators which can be described in terms ofD-pseudo bosons. They all give rise toexactly solvable models, described by non self-adjoint hamiltonians whose eigenvalues and eigenvectors can be found adopting the quite general framework of the so-calledD-pseudo bosons. In particular, we show that several models previously introduced in the literature perfectly fit into this scheme.

UR - http://hdl.handle.net/10447/147442

M3 - Article

VL - 54

SP - 4110

EP - 4123

JO - International Journal of Theoretical Physics

JF - International Journal of Theoretical Physics

SN - 0020-7748

ER -