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https://hdl.handle.net/10321/2982| 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) | Abstract: | 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. |
URI: | http://hdl.handle.net/10321/2982 | ISSN: | 0217-7323 (print) 1793-6632 (online) |
| Appears in Collections: | Research Publications (Systems Science) |
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| File | Description | Size | Format | |
|---|---|---|---|---|
| Znojil_MPLA_Vol31#34_Pg1-14_2016.pdf | 712.43 kB | Adobe PDF |  View/Open |
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