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18 February 2025
 
  » arxiv » 1609.0166

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Symmetrized exponential oscillator
Miloslav Znojil ;
Date 1 Sep 2016
AbstractSeveral properties of bound states in potential $ V(x)= g^2exp (|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.
Source arXiv, 1609.0166
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