Integrable and superintegrable systems with spin
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Publication:3442077
DOI10.1063/1.2360042zbMath1112.70016arXivmath-ph/0604050OpenAlexW3098906631MaRDI QIDQ3442077
İsmet Yurduşen, Pavel Winternitz
Publication date: 16 May 2007
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math-ph/0604050
Completely integrable systems and methods of integration for problems in Hamiltonian and Lagrangian mechanics (70H06) Dynamical systems in classical and celestial mechanics (37N05) Symmetries, Lie group and Lie algebra methods for problems in mechanics (70G65)
Related Items (16)
Family of nonstandard integrable and superintegrable classical Hamiltonian systems in non-vanishing magnetic fields ⋮ Dynamical symmetry in a minimal dimeric complex ⋮ Recurrence approach and higher order polynomial algebras for superintegrable monopole systems ⋮ 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 ⋮ Symmetrization of the product of Hermitian operators ⋮ Nonautonomous Hamiltonian quantum systems, operator equations, and representations of the Bender-Dunne Weyl-ordered basis under time-dependent canonical transformations ⋮ \(N^{th}\)-order superintegrable systems separating in polar coordinates ⋮ Second-order integrals for systems in \(E_2\) involving spin ⋮ Laplace-Runge-Lenz vector for arbitrary spin ⋮ Supersymmetry as a method of obtaining new superintegrable systems with higher order integrals of motion ⋮ Superintegrable systems from block separation of variables and unified derivation of their quadratic algebras ⋮ Superintegrable systems with position dependent mass ⋮ Construction of classical superintegrable systems with higher order integrals of motion from ladder operators ⋮ 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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