Exactly solvable effective mass D-dimensional Schrodinger equation for pseudoharmonic and modified Kratzer problems

Abstract

We employ the point canonical transformation (PCT) to solve the D-dimensional Schrödinger equation with position-dependent effective mass (PDEM) function for two molecular pseudoharmonic and modified Kratzer (Mie-type) potentials. In mapping the transformed exactly solvable D-dimensional ($D\ge 2$) Schrödinger equation with constant mass into the effective mass equation by employing a proper transformation, the exact bound state solutions including the energy eigenvalues and corresponding wave functions are derived. The well-known pseudoharmonic and modified Kratzer exact eigenstates of various dimensionality is manifested.

13 pages

References in corpus (8)

• Exact solutions of the modified Kratzer potential plus ring-shaped potential in the D-dimensional Schrodinger equation by the Nikiforov-Uvarov method
• Exact solution of Schrodinger equation for Pseudoharmonic potential
• Solution of the D-dimensional Klein-Gordon equation with equal scalar and vector ring-shaped pseudoharmonic potential
• Any l-state improved quasi-exact analytical solutions of the spatially dependent mass Klein-Gordon equation for the scalar and vector Hulthen potentials
• Approximate l-state solutions of the D-dimensional Schrodinger equation for Manning-Rosen potential
• An alternative simple solution of the sextic anharmonic oscillator and perturbed Coulomb problems
• Exact solution of Schrodinger equation for modified Kratzer's molecular potential with the position-dependent mass
• Bound states of the Klein-Gordon equation for vector and scalar general Hulthen-type potentials in D-dimension

Cited by in corpus (9)

• 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
• Improved analytical approximation to arbitrary l-state solutions of the Schrodinger equation for the hyperbolical potentials
• Effects of external fields on two-dimensional Klein-Gordon particle under pseudoharmonic oscillator interaction
• Exact Solution of Dirac Equation with Charged Harmonic Oscillator in Electric Field: Bound States
• Approximate analytic solutions of the diatomic molecules in the Schrodinger equation with hyperbolical potentials
• Eigenspectra and Statistical Properties of the Klein-Gordon Equation with Cornell Potential: Unequal Mixings of Scalar and Time-Like Vector Potentials
• New solutions of the D-dimensional Klein-Gordon equation via mapping onto the nonrelativistic one-dimensional Morse potential