Shape-invariance approach and Hamiltonian hierarchy method on the Woods-Saxon potential for \(\ell \neq 0\) states. (English) Zbl 1154.81377
Summary: An analytically solvable Woods-Saxon potential for \(\ell \neq 0\) states is presented within the framework of supersymmetric quantum mechanics formalism. The shape-invariance approach and Hamiltonian hierarchy method are included in calculations by means of a translation of parameters. The approximate energy spectrum of this potential is obtained for \(\ell \neq 0\) states, applying the Woods-Saxon square approximation to the centrifugal barrier term of the Schrödinger equation.
MSC:
81V55 | Molecular physics |
81Q60 | Supersymmetry and quantum mechanics |
81U15 | Exactly and quasi-solvable systems arising in quantum theory |
81Q05 | Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics |
Keywords:
supersymmetric quantum mechanics; Hamiltonian hierarchy method; woods-saxon potential; diatomic moleculesReferences:
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