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arXiv · 1605.06780

Semi-analytic version of shooting method and the bound states in non-analytic potential $V(x)= -g^2\exp (-|x|)$

Miloslav Znojil
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Abstract

People construct quantum bound states either non-numerically (in not too many exceptional cases) or, in general, numerically (mainly using majorization or discretization techniques). We point out that there exists a class of interactions "in between". Being, in conventional terminology, neither exactly solvable nor purely numerical. The idea is illustrated by the elementary exponential-well toy-model potential $V(x)= -g^2\exp (-|x|)$.

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Miloslav Znojil. 2016-05-22. Semi-analytic version of shooting method and the bound states in non-analytic potential $V(x)= -g^2\exp (-|x|)$. https://arxiv.org/abs/1605.06780

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