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

Bagarello, F., Gargano, F., Volpe, D. (2015). $\mathcal D$ -Deformed Harmonic Oscillators. INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS, 54(54), 4110-4123 [10.1007/s10773-014-2487-9].

$\mathcal D$ -Deformed Harmonic Oscillators

BAGARELLO, Fabio;GARGANO, Francesco;
2015-01-01

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 to exactly solvable models, described by non self-adjoint hamiltonians whose eigenvalues and eigenvectors can be found adopting the quite general framework of the so-called D-pseudo bosons. In particular, we show that several models previously introduced in the literature perfectly fit into this scheme.
2015
Settore MAT/07 - Fisica Matematica
Bagarello, F., Gargano, F., Volpe, D. (2015). $\mathcal D$ -Deformed Harmonic Oscillators. INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS, 54(54), 4110-4123 [10.1007/s10773-014-2487-9].
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10447/147442
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