Analytical solutions of Schrödinger equation for the diatomic molecular potentials with any angular momentum. (English) Zbl 1257.81018
Summary: Analytical solutions of the Schrödinger equation are obtained for some diatomic molecular potentials with any angular momentum. The energy eigenvalues and wave functions are calculated exactly. The asymptotic form of the equation is also considered. An algebraic method is used in the calculations.
MSC:
| 81Q05 | Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics |
| 81Q10 | Selfadjoint operator theory in quantum theory, including spectral analysis |
| 81V55 | Molecular physics |
| 81U15 | Exactly and quasi-solvable systems arising in quantum theory |
| 81R15 | Operator algebra methods applied to problems in quantum theory |
Keywords:
diatomic molecular potential; exact solutions; bound-states; energy eigenvalues; wave functions; Schrödinger equation; algebraic methodReferences:
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