Superintegrable and shape invariant systems with position dependent mass

DOI10.1088/1751-8113/48/33/335201zbMath1325.81080arXiv1412.4232OpenAlexW1810316712MaRDI QIDQ3448398

Anatolia G. Nikitin

Publication date: 23 October 2015

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

Full work available at URL: https://arxiv.org/abs/1412.4232

zbMATH Keywords

exact solutionsshape invariancesuperintegrabilityposition dependent mass

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Exactly and quasi-solvable systems arising in quantum theory (81U15) Groups and algebras in quantum theory and relations with integrable systems (81R12) Special quantum systems, such as solvable systems (81Q80)

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SUSY method for the three-dimensional Schrödinger equation with effective mass ⋮ 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 ⋮ Mapping of two-dimensional Schrödinger equation under the point transformation ⋮ Kinematical invariance groups of the 3d Schrödinger equations with position dependent masses ⋮ Superintegrable relativistic systems in scalar background fields ⋮ Symmetries of the Schrödinger–Pauli equation for neutral particles ⋮ Supersymmetries in Schrödinger–Pauli Equations and in Schrödinger Equations with Position Dependent Mass ⋮ Group classification of Schrödinger equations with position dependent mass ⋮ Superintegrable systems with position dependent mass ⋮ Superintegrable and scale-invariant quantum systems with position-dependent Mass ⋮ New infinite families of Nth-order superintegrable systems separating in Cartesian coordinates ⋮ Symmetries of Schrödinger equation with scalar and vector potentials

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