Znojil, Miloslav2018-05-282018-05-282016-09-01Znojil, M. 2016. Symmetrized exponential oscillator. Modern Physics Letters A. 31(34): 1-14.0217-7323 (print)1793-6632 (online)http://hdl.handle.net/10321/2982Several 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.14 penQuantum bound statesExactly solvable modelsBessel special functionsTranscendental secular equationNumerical precisionArticle