COMMUNICATIONS IN THEORETICAL PHYSICS, vol.58, no.1, pp.27-30, 2012 (Journal Indexed in SCI)
Article / Article
Title of Journal :
COMMUNICATIONS IN THEORETICAL PHYSICS
exact solution, laplace transform, non-central potential, Schrodinger equation, KLEIN-GORDON EQUATION, SCHRODINGER-EQUATION, ALGEBRAIC APPROACH, LADDER-OPERATOR, BOUND-STATES, PSEUDOHARMONIC OSCILLATOR, HARMONIC-OSCILLATOR, HIDDEN SYMMETRY, QUANTUM SYSTEM, VECTOR
We intend to realize the step-up and step-down operators of the potential V(x) = V(1)e(2 beta x) + V-2(e beta x). It is found that these operators satisfy the commutation relations for the SU(2) group. We find the eigenfunctions and the eigenvalues of the potential by using the Laplace transform approach to study the Lie algebra satisfied the ladder operators of the potential under consideration. Our results are similar to the ones obtained for the Morse potential (beta ->-beta).