Coordinate Transformation and Exact Solutions of Schrödinger Equation with Position-Dependent Effective Mass

DOI10.1088/0253-6102/47/6/007zbMath1355.81074arXivquant-ph/0601004OpenAlexW2064323418MaRDI QIDQ2960056

Guoxing Ju, Changying Cai, Zhong-Zhou Ren, Yang Xiang

Publication date: 7 February 2017

Published in: Communications in Theoretical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/quant-ph/0601004

zbMATH Keywords

Schrödinger equationspecial functionseigenfunctioncoordinate transformationposition-dependent mass

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45)

Related Items

Generalized Laguerre polynomials with position-dependent effective mass visualized via Wigner’s distribution functions ⋮ Study of thermomagnetic properties for non-relativistic particle with position dependent mass in the presence of topological defect and external magnetic field: theory and simulation ⋮ New Fourier transform containing a pair of complex Euler Γ-functions with a monomial: Mathematical and physical applications

Cites Work

• Unnamed Item
• Unnamed Item
• Dynamical breaking of supersymmetry
• Exact solvability of potentials with spatially dependent effective masses
• Group theory approach to scattering. IV: Solvable potentials associated with \(\mathrm{SO}(2,2)\)
• Series solutions of the Schrödinger equation with position-dependent mass for the Morse potential
• The potential group approach and hypergeometric differential equations
• An exactly soluble Schrödinger equation with smooth position-dependent mass
• Harmonic oscillator with nonzero minimal uncertainties in both position and momentum in a SUSYQM framework
• More on a SUSYQM approach to the harmonic oscillator with nonzero minimal uncertainties in position and/or momentum
• A GENERAL SCHEME FOR THE EFFECTIVE-MASS SCHRÖDINGER EQUATION AND THE GENERATION OF THE ASSOCIATED POTENTIALS
• SUPERSYMMETRIC APPROACH TO EXACTLY SOLVABLE SYSTEMS WITH POSITION-DEPENDENT EFFECTIVE MASSES
• EXACT SOLUTIONS OF EFFECTIVE-MASS SCHRÖDINGER EQUATIONS
• The Factorization Method

This page was built for publication: Coordinate Transformation and Exact Solutions of Schrödinger Equation with Position-Dependent Effective Mass