Quasi-exact solvability of a hyperbolic intermolecular potential induced by an effective mass step

DOI10.1155/2011/358198zbMath1227.34090OpenAlexW1997249882WikidataQ58687765 ScholiaQ58687765MaRDI QIDQ539356

Axel Schulze-Halberg

Publication date: 27 May 2011

Published in: International Journal of Mathematics and Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/230588

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Explicit solutions, first integrals of ordinary differential equations (34A05)

Related Items (2)

The hyperbolic step potential: anti-bound states, SUSY partners and Wigner time delays ⋮ Lie symmetry and the Bethe ansatz solution of a new quasi-exactly solvable double-well potential

Cites Work

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• Exact solutions of the Schrödinger equation for the deformed hyperbolic potential well and the deformed four-parameter exponential type potential
• -fold supersymmetry in quantum systems with position-dependent mass
• MORSE POTENTIAL AND ITS RELATIONSHIP WITH THE COULOMB IN A POSITION-DEPENDENT MASS BACKGROUND
• An exactly soluble Schrödinger equation with smooth position-dependent mass
• Exact Solutions of the Schrödinger Equation for Two “Deformed” Hyperbolic Molecular Potentials
• A GENERAL SCHEME FOR THE EFFECTIVE-MASS SCHRÖDINGER EQUATION AND THE GENERATION OF THE ASSOCIATED POTENTIALS
• Path integral solutions for deformed Pöschl–Teller-like and conditionally solvable potentials
• Shape-invariant quantum Hamiltonian with position-dependent effective mass through second-order supersymmetry

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