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arXiv · 1609.00166

Symmetrized exponential oscillator

Miloslav Znojil
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Abstract

Several properties of bound states in potential $ V(x)= g^2\exp (|x|)$ are studied. Firstly, with the emphasis on the reliability of our arbitrary-precision construction, wave functions are considered in the two alternative (viz., asymptotically decreasing or regular) exact Bessel-function forms which obey the asymptotic or matching conditions, respectively. The merits of the resulting complementary transcendental secular equation approaches are compared and their applicability is discussed.

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Miloslav Znojil. 2016-09-01. Symmetrized exponential oscillator. https://doi.org/10.1142/s0217732316501959

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