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Title: Symmetrized exponential oscillator
Authors: Znojil, Miloslav 
Keywords: Quantum bound states;Exactly solvable models;Bessel special functions;Transcendental secular equation;Numerical precision
Issue Date: 1-Sep-2016
Publisher: World Scientific Publishing
Source: Znojil, M. 2016. Symmetrized exponential oscillator. Modern Physics Letters A. 31(34): 1-14.
Journal: Modern physics letters A (Online) 
Several properties of bound states in potential V(x) = g² exp(Formula presented.)x(Formula presented.) 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.
ISSN: 0217-7323 (print)
1793-6632 (online)
Appears in Collections:Research Publications (Systems Science)

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