TITLE:
Generation of Exactly Solvable Potentials of Position-Dependent Mass Schrödinger Equation from Hulthen Potential
AUTHORS:
Hangshadhar Rajbongshi, Ngangkham Nimai Singh
KEYWORDS:
Position-Dependent Mass; Hulthen Potential; Co-Ordinate Transformation; Extended Transformation; Exact Analytic Solution
JOURNAL NAME:
Journal of Modern Physics,
Vol.4 No.11,
November
28,
2013
ABSTRACT: Exactly Solvable Potentials (ESPs) of Position-Dependent Mass (PDM) Schrodinger equation are generated from Hulthen Potential (parent system) by using Extended Transformation (ET) method. The method includes a Co-ordinate Transformation (CT) followed by Functional Transformation (FT) of wave function. Mass function of parent system gets transformed to that of generated system. Two new ESPs are generated. The explicit expressions of mass functions, energy eigenvalues and corresponding wave functions for newly generated potentials (systems) are derived. System specific regrouping method is also discussed.