Potential algebra approach to position-dependent mass Schrödinger equations

2009/07/29 by T. K. Jana, P. Roy · 9 citations
Mathematics · Physics and Astronomy · #Algebra over a field #Class (philosophy) #Nonlinear Waves and Solitons #Position (finance) #Quantum Mechanics and Non-Hermitian Physics #Realization (probability) #Schrödinger equation #Spectral Theory in Mathematical Physics #Symmetry (geometry) #Symmetry group #math-ph #math.MP #quant-ph

paper · pdf · doi:10.1209/0295-5075/87/30003

published in Europhysics Letters (EPL) 87(3), 30003 (Institute of Physics)

arxiv created 2009/07/29 · openalex publication_date 2009/08/01 · arxiv updated 2015/05/13 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

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

Citations

• Deformed algebras, position-dependent effective masses and curved spaces: an exactly solvable Coulomb problem
• New shape-invariant potentials in supersymmetric quantum mechanics
• A singular position-dependent mass particle in an infinite potential well

Cited by

• Superintegrable and shape invariant systems with position dependent mass