Matrix superpotentials and superintegrable systems for arbitrary spin

DOI10.1088/1751-8113/45/22/225205zbMath1246.81051arXiv1201.4929OpenAlexW3102170719MaRDI QIDQ2895724

Anatolia G. Nikitin

Publication date: 4 July 2012

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

Full work available at URL: https://arxiv.org/abs/1201.4929

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Groups and algebras in quantum theory and relations with integrable systems (81R12)

Related Items (13)

SUSY method for the three-dimensional Schrödinger equation with effective mass ⋮ Minimal realizations of supersymmetry for matrix Hamiltonians ⋮ Symmetries of Schrödinger–Pauli equations for charged particles and quasirelativistic Schrödinger equations ⋮ Doubly exotic \(N\)th-order superintegrable classical systems separating in Cartesian coordinates ⋮ 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 ⋮ Laplace-Runge-Lenz vector for arbitrary spin ⋮ Symmetries of the Schrödinger–Pauli equation for neutral particles ⋮ Supersymmetries in Schrödinger–Pauli Equations and in Schrödinger Equations with Position Dependent Mass ⋮ Superintegrable systems with position dependent mass ⋮ Integrability and supersymmetry of Schrödinger-Pauli equations for neutral particles ⋮ Symmetries of Schrödinger equation with scalar and vector potentials ⋮ Superintegrable systems with spin and second-order tensor and pseudo-tensor integrals of motion

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