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arXiv · 1412.8720

${\cal D}$-deformed harmonic oscillators

F. Bagarello·F. Gargano·D. Volpe
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Abstract

We analyze systematically several deformations arising from two-dimensional harmonic oscillators which can be described in terms of $\cal{D}$-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 $\cal{D}$-pseudo bosons. In particular, we show that several models previously introduced in the literature perfectly fit into this scheme.

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F. Bagarello, F. Gargano, D. Volpe. 2014-12-30. ${\cal D}$-deformed harmonic oscillators. https://doi.org/10.1007/s10773-014-2487-9

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