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arXiv · 1404.1439

An exactly soluble model of a shallow double well

R. Muñoz-Vega·E. López-Chávez·E. Salinas-Hernández·J. J. Flores-Godoy·G. Fernández-Anaya
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Abstract

Shallow one-dimensional double well potentials appear in atomic and molecular physics and other fields. Unlike the "deep" wells of macroscopic quantum coherent systems, shallow double wells need not present low-lying two-level systems. We argue that this feature, the absence of a low-lying two-level system in certain shallow double wells, may allow the finding of new test grounds for quantum mechanics in mesoscopic systems. We illustrate the above ideas with a family of shallow double wells obtained from Bargman potentials through the Darboux-Bäcklund transform.

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R. Muñoz-Vega, E. López-Chávez, E. Salinas-Hernández, J. J. Flores-Godoy, G. Fernández-Anaya. 2014-04-05. An exactly soluble model of a shallow double well. https://doi.org/10.1016/j.physleta.2014.05.047

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