Exact Solutions of the Schrödinger Equation for Two “Deformed” Hyperbolic Molecular Potentials
Makaleler > Tam Makale · 1999
Yazarlar: Harun Eğrifes, Doğan Demirhan, Fevzi Büyükkiliç
Physica Scripta, Uluslararası, Wos, 1999, cilt 60, ss 195-198
DOI: 10.1238/physica.regular.060a00195
Özet
The bound state energy eigenvalues and the corresponding wave functions of the “deformed” Rosen-Morse and modified Rosen-Morse potentials have been obtained by the Nikiforov-Uvarov method (Büyükkiliç et al 1997 Theor. Chim Acta. 98 192). The “deformed hyperbolic functions” that were introduced for the first time by Arai (1991 J. Math. Anal. Appl. 158 63) have been used. The energy eigenvalues of these “deformed hyperbolic molecular potentials” bring up the criteria for the shape invariance of the potentials according to the deformation parameter q , as well as bringing a bound for the value of the parameter.