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Open Quantum Systems Decoherence

Exact solutions of a class of double-well potentials: Algebraic Bethe ansatz

arXiv

Authors: Marzieh Baradaran, Hossein Panahi

Year

2017

Paper ID

24494

Status

Preprint

Abstract Read

~2 min

Abstract Words

101

Citations

N/A

Abstract

In this paper, applying the Bethe ansatz method, we investigate the Schrödinger equation for the three quasi-exactly solvable double-well potentials, namely the generalized Manning potential, the Razavy bistable potential and the hyperbolic Shifman potential. General exact expressions for the energies and the associated wave functions are obtained in terms of the roots of a set of algebraic equations. Also, we solve the same problems using the Lie algebraic approach of quasi-exact solvability through the sl(2) algebraization and show that the results are the same. The numerical evaluation of the energy spectrum is reported to display explicitly the energy levels splitting.

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In this paper, applying the Bethe ansatz method, we investigate the Schrödinger equation for the three quasi-exactly solvable double-well potentials, namely the generalized...

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References & Citation Signals

[1] DOI https://doi.org/arXiv:1712.06439 [2] arXiv https://arxiv.org/abs/1712.06439 [3] Publisher https://arxiv.org/abs/1712.06439

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