Laplace-Runge-Lenz vector for arbitrary spin

DOI10.1063/1.4843435zbMath1285.81033arXiv1308.4279OpenAlexW3104339192MaRDI QIDQ5412819

Anatolia G. Nikitin

Publication date: 28 April 2014

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

Full work available at URL: https://arxiv.org/abs/1308.4279

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Applications of Lie groups to the sciences; explicit representations (22E70) Atomic physics (81V45) Groups and algebras in quantum theory and relations with integrable systems (81R12) Finite-dimensional groups and algebras motivated by physics and their representations (81R05)

Related Items (10)

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 ⋮ Tensor-product representation of Laplace-Runge-Lenz vector for two-body Kepler systems ⋮ Second-order integrals for systems in \(E_2\) involving spin ⋮ Spherical type integrable classical systems in a magnetic field ⋮ Laplace-Runge-Lenz vector for arbitrary spin ⋮ Symmetries of the Schrödinger–Pauli equation for neutral particles ⋮ Higher Order Quantum Superintegrability: A New “Painlevé Conjecture” ⋮ Superintegrable systems with position dependent mass ⋮ Symmetries of Schrödinger equation with scalar and vector potentials

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