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Open Quantum Systems Decoherence Quantum Simulation

A Class of Partially Solvable Two-Dimensional Quantum Models with Periodic Potentials

arXiv

Authors: M. V. Ioffe, J. Mateos Guilarte, P. A. Valinevich

Year

2007

Paper ID

50023

Status

Preprint

Abstract Read

~2 min

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Abstract

The supersymmetrical approach is used to analyse a class of two-dimensional quantum systems with periodic potentials. In particular, the method of SUSY-separation of variables allowed us to find a part of the energy spectra and the corresponding wave functions (partial solvability) for several models. These models are not amenable to conventional separation of variables, and they can be considered as two-dimensional generalizations of Lame, associated Lame, and trigonometric Razavy potentials. All these models have the symmetry operators of fourth order in momenta, and one of them (the Lame potential) obeys the property of self-isospectrality.

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The supersymmetrical approach is used to analyse a class of two-dimensional quantum systems with periodic potentials.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:0706.1344 [2] arXiv https://arxiv.org/abs/0706.1344 [3] Publisher https://arxiv.org/abs/0706.1344

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