Exact Solutions of a Class of Double-Well Potentials: Algebraic Bethe Ansatz
Joint Authors
Source
Advances in High Energy Physics
Issue
Vol. 2017, Issue 2017 (31 Dec. 2017), pp.1-13, 13 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2017-12-26
Country of Publication
Egypt
No. of Pages
13
Main Subjects
Abstract EN
Applying the Bethe ansatz method, we investigate the Schrödinger equation for the three quasi-exactly solvable double-well potentials, namely, the generalized Manning potential, the Razavy bistable potential, and the hyperbolic Shifman potential.
General exact expressions for the energies and the associated wave functions are obtained in terms of the roots of a set of algebraic equations.
Also, we solve the same problems using the Lie algebraic approach of quasi-exact solvability through the sl(2) algebraization and show that the results are the same.
The numerical evaluation of the energy spectrum is reported to display explicitly the energy levels splitting.
American Psychological Association (APA)
Baradaran, M.& Panahi, H.. 2017. Exact Solutions of a Class of Double-Well Potentials: Algebraic Bethe Ansatz. Advances in High Energy Physics،Vol. 2017, no. 2017, pp.1-13.
https://search.emarefa.net/detail/BIM-1122231
Modern Language Association (MLA)
Baradaran, M.& Panahi, H.. Exact Solutions of a Class of Double-Well Potentials: Algebraic Bethe Ansatz. Advances in High Energy Physics No. 2017 (2017), pp.1-13.
https://search.emarefa.net/detail/BIM-1122231
American Medical Association (AMA)
Baradaran, M.& Panahi, H.. Exact Solutions of a Class of Double-Well Potentials: Algebraic Bethe Ansatz. Advances in High Energy Physics. 2017. Vol. 2017, no. 2017, pp.1-13.
https://search.emarefa.net/detail/BIM-1122231
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1122231