Kinematical invariance groups of the 3d Schrödinger equations with position dependent masses

DOI10.1063/1.4986171zbMath1370.81061arXiv1701.04276OpenAlexW3102580904MaRDI QIDQ5357520

Anatolia G. Nikitin

Publication date: 11 September 2017

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

Full work available at URL: https://arxiv.org/abs/1701.04276

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Applications of Lie (super)algebras to physics, etc. (17B81) Finite-dimensional groups and algebras motivated by physics and their representations (81R05) Symmetries, invariants, etc. in context of PDEs (35B06) Time-dependent Schrödinger equations and Dirac equations (35Q41)

Related Items (12)

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 ⋮ Equivalence groupoid and group classification of a class of variable-coefficient Burgers equations ⋮ Equivalence groupoids and group classification of multidimensional nonlinear Schrödinger equations ⋮ Generalization of the algebraic method of group classification with application to nonlinear wave and elliptic equations ⋮ Position-Dependent Mass Systems: Classical and Quantum Pictures ⋮ Symmetries of the Schrödinger–Pauli equation for neutral particles ⋮ Supersymmetries in Schrödinger–Pauli Equations and in Schrödinger Equations with Position Dependent Mass ⋮ Coherent and Squeezed States: Introductory Review of Basic Notions, Properties, and Generalizations ⋮ Superintegrable and scale-invariant quantum systems with position-dependent Mass ⋮ Symmetries of Schrödinger equation with scalar and vector potentials

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