Superintegrable systems with spin and second-order integrals of motion

DOI10.1088/1751-8113/45/47/475201zbMath1258.81027arXiv1208.2886OpenAlexW3103266835MaRDI QIDQ3145898

İsmet Yurduşen, Jean-Francois Désilets, Pavel Winternitz

Publication date: 17 December 2012

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

Full work available at URL: https://arxiv.org/abs/1208.2886

Mathematics Subject Classification ID

Nuclear physics (81V35) 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) (2)-body potential quantum scattering theory (81U05)

Related Items (15)

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 ⋮ Fourth order superintegrable systems separating in Cartesian coordinates I. Exotic quantum potentials ⋮ Symmetrization of the product of Hermitian operators ⋮ New families of superintegrable systems from Hermite and Laguerre exceptional orthogonal polynomials ⋮ \(N^{th}\)-order superintegrable systems separating in polar coordinates ⋮ Second-order integrals for systems in \(E_2\) involving spin ⋮ Algebraic calculations for spectrum of superintegrable system from exceptional orthogonal polynomials ⋮ Spherical type integrable classical systems in a magnetic field ⋮ Laplace-Runge-Lenz vector for arbitrary spin ⋮ Superintegrable systems with position dependent mass ⋮ Integrability and supersymmetry of Schrödinger-Pauli equations for neutral particles ⋮ Superintegrable systems with spin and second-order tensor and pseudo-tensor integrals of motion

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