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arXiv · 1603.09483

Morse potential, symmetric Morse potential and bracketed bound-state energies

Miloslav Znojil
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Abstract

An upgraded concept of solvability of Schrödinger-type equations is proposed. In a broader methodical context of non-perturbative quantum theory the innovation involves potentials which are piece-wise analytic yielding differential equations solvable in terms of special functions. In our illustrative example, Whittaker functions are employed and a single point of non-analyticity is admitted in the origin. In a symbolic-manipulation-based practical implementation of the method a serendipitous advantage of the construction of bound states is found in the both-sided nature of the numerical localization of their energies.

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Miloslav Znojil. 2016-03-31. Morse potential, symmetric Morse potential and bracketed bound-state energies. https://doi.org/10.1142/s0217732316500887

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