Exact solutions of the Schrodinger equation for the deformed hyperbolic potential well and the deformed four-parameter exponential type potential

Citation
H. Egrifes et al., Exact solutions of the Schrodinger equation for the deformed hyperbolic potential well and the deformed four-parameter exponential type potential, PHYS LETT A, 275(4), 2000, pp. 229-237
Citations number
12
Categorie Soggetti
Physics
Journal title
PHYSICS LETTERS A
ISSN journal
03759601 → ACNP
Volume
275
Issue
4
Year of publication
2000
Pages
229 - 237
Database
ISI
SICI code
0375-9601(20001016)275:4<229:ESOTSE>2.0.ZU;2-W
Abstract
Exact solutions of the Schrodinger equation for two 'deformed hyperbolic po tentials' that were introduced by Arai [J. Math. Anal. Appl. 158 (1991) 63] have been obtained by using an analytical solution method which has been d eveloped by Nikiforov and Uvarov [Special Functions of Mathematical Physics , Birkhauser, Basel, 1988] for the solutions of the differential equations of hypergeometric type in which the solutions are special functions. (C) 20 00 Published by Elsevier Science B.V.