Shape-invariance approach and Hamiltonian hierarchy method on the Woods-Saxon potential for \(\ell \neq 0\) states

DOI10.1007/s10910-007-9335-6zbMath1154.81377OpenAlexW2001019099MaRDI QIDQ937642

Ayşe Berkdemir, Ramazan Sever, Cüneyt Berkdemir

Publication date: 15 August 2008

Published in: Journal of Mathematical Chemistry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10910-007-9335-6

zbMATH Keywords

diatomic moleculessupersymmetric quantum mechanicsHamiltonian hierarchy methodwoods-saxon potential

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Exactly and quasi-solvable systems arising in quantum theory (81U15) Supersymmetry and quantum mechanics (81Q60) Molecular physics (81V55)

Related Items (8)

Bound states of the Dirac equation for the generalized Woods–Saxon potential in pseudospin and spin symmetry limits ⋮ Analytical solutions of Schrödinger equation for the diatomic molecular potentials with any angular momentum ⋮ Solutions of the Klein-Gordon equation with the improved Tietz potential energy model ⋮ Quantum tunneling in an exactly solvable double-barrier potential: barrier transmission near the zero energy ⋮ ANY l-STATE SOLUTIONS OF THE WOODS–SAXON POTENTIAL IN ARBITRARY DIMENSIONS WITHIN THE NEW IMPROVED QUANTIZATION RULE ⋮ Studies on the effects of nonadiabatic behavior during the course of HBr photolysis ⋮ A general approach for the exact solution of the Schrödinger equation ⋮ Modified \(\ell \)-states of diatomic molecules subject to central potentials plus an angle-dependent potential

Cites Work

• Algebraic derivation of Franck-Condon overlap integrals for diatomic molecules
• Relativistic treatment of a spin-zero particle subject to a Kratzer-type potential
• New solvable and quasiexactly solvable periodic potentials
• SUPERSYMMETRIC SOLUTION OF PT-/NON-PT-SYMMETRIC AND NON-HERMITIAN MORSE POTENTIAL VIA HAMILTONIAN HIERARCHY METHOD
• Analytic Quantum Mechanics of Diatomic Molecules with Empirical Potentials
• Application of dynamical Lie algebraic method to atom-diatomic molecule scattering

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