Potential algebra approach to position dependent mass Schroedinger equation

Abstract

It is shown that for a class of position dependent mass Schroedinger equation the shape invariance condition is equivalent to a potential symmetry algebra. Explicit realization of such algebras have been obtained for some shape invariant potentials.

References in corpus (4)

• N-fold Supersymmetry in Quantum Systems with Position-dependent Mass
• A singular position-dependent mass particle in an infinite potential well
• Spectrum generating algebras for position-dependent mass oscillator Schrodinger equations
• Non-Hermitian von Roos Hamiltonian's $\eta$-weak-pseudo-Hermiticity, isospectrality and exact solvability

Cited by in corpus (4)

• Analytical solution to position dependent mass Schrödinger equation
• Superintegrable and shape invariant systems with position dependent mass
• Remarks on the Solution of the Position Dependent Mass (PDM) Schrödinger Equation
• Quantum fluctuations as deviation from classical dynamics of ensemble of trajectories parameterized by unbiased hidden random variable