A new approach to the exact solutions of the effective mass Schrodinger equation

Abstract

Effective mass Schrodinger equation is solved exactly for a given potential. Nikiforov-Uvarov method is used to obtain energy eigenvalues and the corresponding wave functions. A free parameter is used in the transformation of the wave function. The effective mass Schrodinger equation is also solved for the Morse potential transforming to the constant mass Schrödinger equation for a potential. One can also get solution of the effective mass Schrodinger equation starting from the constant mass Schrodinger equation.

14 pages

References in corpus (7)

• Solutions of the nonrelativistic wave equation with position-dependent effective mass
• A general scheme for the effective-mass Schrodinger equation and the generation of the associated potentials
• Bound states of the Dirac equation for the PT-symmetric generalized Hulthen potential by the Nikiforov-Uvarov method
• N-fold Supersymmetry in Quantum Systems with Position-dependent Mass
• Shape-invariant quantum Hamiltonian with position-dependent effective mass through second order supersymmetry
• Exponential Type Complex and non-Hermitian Potentials in PT-Symmetric Quantum Mechanics
• Morse potential and its relationship with the Coulomb in a position-dependent mass background

Cited by in corpus (6)

• Landau Quantization for an electric quadrupole moment of Position-Dependent Mass Quantum Particles interacting with Electromagnetic fields
• Position-dependent mass Dirac equation and local Fermi velocity
• PDM-charged particles in PD-magnetic plus Aharonov-Bohm flux fields: unconfined "almost-quasi-free" and confined in a Yukawa plus Kratzer exact solvability
• Position-dependent mass charged particles in magnetic and Aharonov-Bohm flux fields: separability, exact and conditionally exact solvability
• Dirac equation in curved spacetime: the role of local Fermi velocity
• Isochronous oscillator with a singular position-dependent mass and its quantization