Quantum particles trapped in a position-dependent mass barrier; a d-dimensional recipe

2006/03/31 by Omar Mustafa, S. Habib Mazharimousavi · 4 citations
Chemistry · Physics and Astronomy · #Chemistry #Classical mechanics #Cold Atom Physics and Bose-Einstein Condensates #Effective mass (spring–mass system) #Mathematical physics #Particle (ecology) #Physics #Position (finance) #Quantum #Quantum Mechanics and Non-Hermitian Physics #Quantum chaos and dynamical systems #Quantum mechanics #Recipe #Schrödinger equation #quant-ph

paper · pdf · doi:10.1016/j.physleta.2006.05.037

published as Phys. Lett. A 358, 259 (2006) · 6 pages, no figures, to appear in Phys. Lett. A

arxiv created 2006/05/13 · openalex publication_date 2006/06/11 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We consider a free particle,V(r)=0, with position-dependent mass m(r)=1/(1+zeta²*r²)² in the d-dimensional schrodinger equation. The effective potential turns out to be a generalized Poschl-Teller potential that admits exact solution.

Citations

• Quasi-relativistic harmonic oscillator bound states
• Deformed algebras, position-dependent effective masses and curved spaces: an exactly solvable Coulomb problem
• First-order intertwining operators and position-dependent mass Schrödinger equations in d dimensions

Cited by

• New superintegrable models with position-dependent mass from Bertrand's Theorem on curved spaces
• PT-Symmetric Solutions of Schrödinger Equation with Position-Dependent Mass via Point Canonical Transformation
• Landau quantization for an electric quadrupole moment of position-dependent mass quantum particles interacting with electromagnetic fields
• n -dimensional PDM non-linear oscillators: linearizability and Euler–Lagrange or Newtonian invariance