Novel bound states treatment of the two dimensional Schrödinger equation with pseudocentral potentials plus multiparameter noncentral potential. (English) Zbl 1252.81132
Summary: By converting the rectangular basis potential \(V(x, y)\) into a form as \({V({r}) + V({r},\varphi)}\) described by the pseudo central plus noncentral potential, particular solutions of the two-dimensional Schrödinger equation in plane-polar coordinates are carried out through the analytic approaching technique of Nikiforov and Uvarov. Both the exact bound state energy spectra and the corresponding bound state wavefunctions of the complete system are determined explicitly and in closed forms. Our presented results are identical to those of the previous works, and they may also be useful for the investigation and analysis of structural characteristics in a variety of quantum systems.
MSC:
| 81V55 | Molecular physics |
| 81Q05 | Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics |
| 81U15 | Exactly and quasi-solvable systems arising in quantum theory |
Keywords:
pseudocentral potentials; noncentral potential; two dimensional Schrödinger equation; bound statesReferences:
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