JOURNAL OF MATHEMATICAL CHEMISTRY, vol.43, no.3, pp.944-954, 2008 (Journal Indexed in SCI)
Article / Article
Title of Journal :
JOURNAL OF MATHEMATICAL CHEMISTRY
supersymmetric quantum mechanics, Hamiltonian hierarchy method, Woods-Saxon potential, diatomic molecules, DIATOMIC-MOLECULES, SCHRODINGER-EQUATION, PERIODIC POTENTIALS, QUANTUM-MECHANICS, APPROXIMATION
An analytically solvable Woods-Saxon potential for l not equal 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 l not equal 0 states, applying the Woods-Saxon square approximation to the centrifugal barrier term of the Schrodinger equation.