Anti-symmetric square well and barrier potential between two rigid walls

Zafar Ahmed; Shashin Pavaskar; Indresh Yadav; Tanayveer Bhatia

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arXiv · 1406.4761

Anti-symmetric square well and barrier potential between two rigid walls

Zafar Ahmed·Shashin Pavaskar·Indresh Yadav·Tanayveer Bhatia

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Abstract

We study an anti-symmetric (square) well and barrier potential of depth/height $(V_0)$ placed between two rigid walls. Unlike the usual double-well, here the closely lying sub-barrier doublets need not be the lowest ones in the spectrum. When $V_0$ admits certain calculable values, $E=0$ or $E=V_0$ or both could become energy eigenvalues of the special eigenstate which emerge only if one seeks a linear solution of Schr{\"o}dinger equation in the appropriate regions.

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Zafar Ahmed, Shashin Pavaskar, Indresh Yadav, Tanayveer Bhatia. 2014-06-18. Anti-symmetric square well and barrier potential between two rigid walls. https://arxiv.org/abs/1406.4761

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