Group classification of Schrödinger equations with position dependent mass

DOI10.1088/1751-8113/49/36/365204zbMath1349.81089arXiv1603.00890OpenAlexW3101003286MaRDI QIDQ2832500

T. M. Zasadko, Anatolia G. Nikitin

Publication date: 11 November 2016

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1603.00890

zbMATH Keywords

group classificationsuperintegrabilityposition dependent mass

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Finite-dimensional groups and algebras motivated by physics and their representations (81R05) Special quantum systems, such as solvable systems (81Q80)

Related Items (7)

Symmetries of Schrödinger–Pauli equations for charged particles and quasirelativistic Schrödinger equations ⋮ Superintegrable quantum mechanical systems with position dependent masses invariant with respect to three parametric Lie groups ⋮ Superintegrable quantum mechanical systems with position dependent masses invariant with respect to two parametric Lie groups ⋮ Kinematical invariance groups of the 3d Schrödinger equations with position dependent masses ⋮ Symmetries of the Schrödinger–Pauli equation for neutral particles ⋮ Supersymmetries in Schrödinger–Pauli Equations and in Schrödinger Equations with Position Dependent Mass ⋮ Symmetries of Schrödinger equation with scalar and vector potentials

Cites Work

• Unnamed Item
• Unnamed Item
• Group classification of systems of nonlinear reaction-diffusion equations with general diffusion matrix. I: Generalized Ginzburg-Landau equations
• Reducibility of supersymmetric quantum mechanics
• Structure relations and Darboux contractions for 2D 2nd order superintegrable systems
• Symmetries of the free Schrödinger equation in the non-commutative plane
• Ordering ambiguity revisited via position dependent mass pseudo-momentum operators
• Quadratic algebra approach to an exactly solvable position-dependent mass Schrödinger equation in two dimensions
• MORE ON SUPERSYMMETRIES OF THE SCHRÖDINGER EQUATION
• Superintegrable and shape invariant systems with position dependent mass
• Higher symmetries and exact solutions of linear and nonlinear Schrödinger equation
• Deformed algebras, position-dependent effective masses and curved spaces: an exactly solvable Coulomb problem
• Superintegrability in a two-dimensional space of nonconstant curvature
• Superintegrable systems with position dependent mass

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