Nonsingular potentials from excited state factorization of a quantum system with position dependent mass

Abstract

The modified factorization technique of a quantum system characterized by position-dependent mass Hamiltonian is presented. It has been shown that the singular superpotential defined in terms of a mass function and a excited state wave function of a given position-dependent mass Hamiltonian can be used to construct non-singular isospectral Hamiltonians. The method has been illustrated with the help of a few examples.

Improved version accepted in J. Phys. A

References in corpus (7)

• Exceptional orthogonal polynomials and exactly solvable potentials in position dependent mass Schroedinger Hamiltonians
• N-fold Supersymmetry in Quantum Systems with Position-dependent Mass
• Shape-invariant quantum Hamiltonian with position-dependent effective mass through second order supersymmetry
• A new effective mass Hamiltonian and associated Lame equation: bound states
• Position Dependent Mass Schroedinger Equation and Isospectral Potentials : Intertwining Operator approach
• Isospectral Potentials from Modified Factorization
• Second-order Supersymmetric Operators and Excited States

Cited by in corpus (7)

• Analytic results in the position-dependent mass Schrodinger problem
• One-parameter families of supersymmetric isospectral potentials from Riccati solutions in function composition form
• Interplay between Riccati, Ermakov and Schroedinger equations to produce complex-valued potentials with real energy spectrum
• The generalized zero-mode supersymmetry scheme and the confluent algorithm
• Coherent States for the Non-Linear Harmonic Oscillator
• An alternative factorization of the quantum harmonic oscillator and two-parameter family of self-adjoint operators
• An alternative approach to Schrödinger equations with a spatially varying mass