Equivalence of two alternative approaches to Schrodinger equations
arXiv:quant-ph/0512216 · doi:10.1088/0031-8949/73/6/016
Abstract
Recently developed simple approach for the exact/approximate solution of Schrodinger equations with constant/position-dependent mass, in which the potential is considered as in the perturbation theory, is shown to be equivalent to the one leading to the construction of exactly solvable potentials via the solution of second-order differential equations in terms of known special functions. The formalism in the former solves difficulties encountered in the latter in revealing the corrections explicitly to the unperturbed piece of the solutions whereas the other obviate cumbersome procedures used in the calculations of the former.
arXiv comment7 pages, no figures
References in corpus (14)
- Supersymmetry and Quantum Mechanics
- Hamiltonian hierarchy and the Hulthen potential
- Supersymmetric approach to exactly solvable systems with position-dependent effective masses
- Exact solutions of effective-mass Schrodinger equations
- An Alternative Treatment for Yukawa-Type Potentials
- New approach to (quasi)-exactly solvable Schrodinger equations with a position-dependent effective mass
- A unified treatment of exactly solvable and quasi-exactly solvable quantum potentials
- Remarks on exact solvability of quantum systems with spatially varying effective mass
- Systematic Search of Exactly Solvable Non-Central Potentials
- New exact treatment of the perturbed Coulomb interactions
- Generalized Supersymmetric Perturbation Theory
- A New Algebraic Approach to Perturbation Theory
- An Approach To Potential Scattering
- Semiclassical treatment of logarithmic perturbation theory