Position-dependent mass models and their nonlinear characterization

Abstract

We consider the specific models of Zhu-Kroemer and BenDaniel-Duke in a sech${}^2$-mass background and point out interesting correspondences with the stationary 1-soliton and 2-soliton solutions of the KdV equation in a supersymmetric framework.

8 Pages, Latex version, Two new references are added, To appear in J.Phys.A (Fast Track Communication)

References in corpus (8)

• Effective Mass of One 4he Atom in Liquid 3he
• Solutions of the nonrelativistic wave equation with position-dependent effective mass
• Exact solvability of potentials with spatially dependent effective masses
• A general scheme for the effective-mass Schrodinger equation and the generation of the associated potentials
• Supersymmetric approach to exactly solvable systems with position-dependent effective masses
• Exact solutions of effective-mass Schrodinger equations
• d-Dimensional generalization of the point canonical transformation for a quantum particle with position-dependent mass
• Supersymmetric quantum mechanics and the Korteweg-de Vries hierarchy

Cited by in corpus (6)

• Exceptional orthogonal polynomials and exactly solvable potentials in position dependent mass Schroedinger Hamiltonians
• Nonlinear Dynamics of a position-dependent mass driven Duffing-type oscillator
• Effect of Position-dependent Mass on Dynamical Breaking of Type B and Type X_2 N-fold Supersymmetry
• Non-Hermitian Oscillator and R-deformed Heisenberg Algebra
• Non-isospectrality of the generalized Swanson Hamiltonian and harmonic oscillator
• Quantum fluctuations as deviation from classical dynamics of ensemble of trajectories parameterized by unbiased hidden random variable