Exact solutions of the Schrödinger equation with position-dependent effective mass via general point canonical transformation

DOI10.1007/s10910-006-9109-6zbMath1132.81354arXivquant-ph/0604041OpenAlexW1976443137MaRDI QIDQ2468683

Ramazan Sever, Cevdet Tezcan

Publication date: 25 January 2008

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

Full work available at URL: https://arxiv.org/abs/quant-ph/0604041

zbMATH Keywords

Rosen-Morse potentialposition-dependent masspoint canonical transformationeffective mass Schrödinger equationscarf potential

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Molecular physics (81V55)

Related Items (15)

Algebraic solutions of shape-invariant position-dependent effective mass systems ⋮ Approximate solution of the effective mass Klein-Gordon equation for the Hulthen potential with any angular momentum ⋮ Generation of exactly solvable potentials of the \(D\)-dimensional position-dependent mass Schrödinger equation using the transformation method ⋮ The exact solution of the Schrödinger equation with a polynomially spatially varying mass ⋮ Coherent States of Nonlinear Oscillators with Position-Dependent Mass: Temporal Stability and Fractional Revivals ⋮ Exact solutions of position-dependent mass Schrödinger equation with pseudoharmonic oscillator and its thermal properties using extended Nikiforov-Uvarov method ⋮ Analytical solutions of Schrödinger equation for the diatomic molecular potentials with any angular momentum ⋮ A parametric approach to supersymmetric quantum mechanics in the solution of Schrödinger equation ⋮ A treatment of the torsional wave equation with an internal rotation constant depending on a torsional angle via point canonical transformation ⋮ A general approach for the exact solution of the Schrödinger equation ⋮ Exactly solvable potentials and the bound-state solution of the position-dependent mass Schrödinger equation in \(D\)-dimensional space ⋮ Comparison theorems for the position-dependent mass Schrödinger equation ⋮ APPROXIMATE ℓ-STATE SOLUTIONS TO THE KLEIN–GORDON EQUATION FOR MODIFIED WOODS–SAXON POTENTIAL WITH POSITION DEPENDENT MASS ⋮ Modified \(\ell \)-states of diatomic molecules subject to central potentials plus an angle-dependent potential ⋮ The scattering and bound states of the Schrödinger particle in generalized asymmetric Manning-Rosen type potential

Cites Work

• Exactly solvable supersymmetric quantum mechanics
• Exact solutions of the Schrödinger equation for the deformed hyperbolic potential well and the deformed four-parameter exponential type potential
• Exact solutions of the Schrödinger equation with the position-dependent mass for a hard-core potential
• Exact Solutions of the Schrödinger Equation for Two “Deformed” Hyperbolic Molecular Potentials
• The extended Thomas–Fermi kinetic energy density functional with position-dependent effective mass in one dimension
• A GENERAL SCHEME FOR THE EFFECTIVE-MASS SCHRÖDINGER EQUATION AND THE GENERATION OF THE ASSOCIATED POTENTIALS
• Deformed algebras, position-dependent effective masses and curved spaces: an exactly solvable Coulomb problem
• Energy eigenvalues for the systems with position-dependent effective mass
• New class of conditionally exactly solvable potentials in quantum mechanics
• Generation of isospectral combinations of the potential and the effective-mass variations by supersymmetric quantum mechanics
• Series Solutions of theN-Dimensional Effective-Mass Schrödinger Equation with the Power Law Potential

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