Symmetrized exponential oscillator-Reference-Cited by-同舟云学术

Symmetrized exponential oscillator

Published:2016-10-21 Issue:34 Volume:31 Page:1650195
ISSN:0217-7323
Container-title:Modern Physics Letters A
language:en
Short-container-title:Mod. Phys. Lett. A

Author:

Znojil Miloslav¹²

Affiliation:

1. Nuclear Physics Institute of the CAS, Hlavní 130, 250 68 Řež, Czech Republic

2. Institute of Systems Science, Durban University of Technology, 4000 Durban, South Africa

Abstract

Several properties of bound states in potential V(x) = g2 exp[Formula: see text]x[Formula: see text] 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.

Funder

Nuclear Physics Institute of the CAS

GAv{C}R

Publisher

World Scientific Pub Co Pte Lt

Subject

General Physics and Astronomy,Astronomy and Astrophysics,Nuclear and High Energy Physics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0217732316501959

Reference23 articles.

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2. Operators of the quantum harmonic oscillator and its relatives

3. Deformed Canonical (anti-)commutation relations and non-self-adjoint hamiltonians

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