Exact solution of Schrodinger equation for modified Kratzer's molecular potential with the position-dependent mass

Abstract

Exact solutions of Schrodinger equation are obtained for the modified Kratzer and the corrected Morse potentials with the position-dependent effective mass. The bound state energy eigenvalues and the corresponding eigenfunctions are calculated for any angular momentum for target potentials. Various forms of point canonical transformations are applied. PACS numbers: 03.65.-w; 03.65.Ge; 12.39.Fd Keywords: Morse potential, Kratzer potential, Position-dependent mass, Point canonical transformation, Effective mass Schrödinger equation.

9 pages

References in corpus (11)

• Effective Mass of One 4he Atom in Liquid 3he
• Solutions of the nonrelativistic wave equation with position-dependent effective mass
• Deformed algebras, position-dependent effective masses and curved spaces: An exactly solvable Coulomb problem
• Exact solvability of potentials with spatially dependent effective masses
• Deformed shape invariance and exactly solvable Hamiltonians with position-dependent effective mass
• Rotational Correction on the Morse Potential Through the Pekeris Approximation and Nikiforov-Uvarov Method
• A general scheme for the effective-mass Schrodinger equation and the generation of the associated potentials
• Nonrelativistic Green's function for systems with position-dependent mass
• Remarks on supersymmetry of quantum systems with position-dependent effective masses
• Exact solution of position dependent mass Schroedinger equation by supersymmetric quantum mechanics
• Effective-mass Schroedinger equation and generation of solvable potentials

Cited by in corpus (14)

• Rotation and vibration of diatomic molecule in the spatially-dependent mass Schrodinger equation with generalized q-deformed Morse potential
• Exact Klein-Gordon equation with spatially-dependent masses for unequal scalar-vector Coulomb-like potentials
• Approximate solutions of the Dirac equation for the Rosen-Morse potential including the spin-orbit centrifugal term
• Exact Solutions of the Schrödinger Equation via Laplace Transform Approach: Pseudoharmonic potential and Mie-type potentials
• Any l-state improved quasi-exact analytical solutions of the spatially dependent mass Klein-Gordon equation for the scalar and vector Hulthen potentials
• Analytic results in the position-dependent mass Schrodinger problem
• Exactly solvable effective mass D-dimensional Schrodinger equation for pseudoharmonic and modified Kratzer problems
• Solutions to position-dependent mass quantum mechanics for a new class of hyperbolic potentials
• Energy eigenfunctions for position-dependent mass particles in a new class of molecular hamiltonians
• Topological Effects on Non-Relativistic Eigenvalue Solutions Under AB-Flux Field with Pseudoharmonic- and Mie-type Potentials
• Analytical Solutions of Klein-Gordon Equation with Position-Dependent Mass for q-Parameter Poschl-Teller potential
• Quantum information entropies for a soliton at hyperbolic well
• Approximate solution of the time-dependent Kratzer plus screened Coulomb potential in Feinberg-Horodecki equation
• Dirac fermions with electric dipole moment and position-dependent mass in the presence of a magnetic field generated by magnetic monopoles