Integrability and supersymmetry of Schrödinger-Pauli equations for neutral particles

DOI10.1063/1.4768464zbMath1278.81069arXiv1204.5902OpenAlexW3104360337MaRDI QIDQ2872448

Anatolia G. Nikitin

Publication date: 14 January 2014

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

Full work available at URL: https://arxiv.org/abs/1204.5902

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) Supersymmetry and quantum mechanics (81Q60) Superalgebras (17A70)

Related Items (10)

SUSY method for the three-dimensional Schrödinger equation with effective mass ⋮ Symmetries of Schrödinger–Pauli equations for charged particles and quasirelativistic Schrödinger equations ⋮ On the Lie symmetry algebras of the stationary Schrödinger and Pauli equations ⋮ Second-order integrals for systems in \(E_2\) involving spin ⋮ 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 ⋮ Symmetries of Schrödinger equation with scalar and vector potentials ⋮ Superintegrable systems with spin and second-order tensor and pseudo-tensor integrals of motion

Cites Work

• Remarks on multi-dimensional conformal mechanics
• Matrix superpotentials and superintegrable systems for arbitrary spin
• Matrix superpotentials
• Enhanced classification of matrix superpotentials
• Superintegrable systems with spin and second-order integrals of motion
• Integrable and superintegrable systems with spin
• Superintegrable systems with third-order integrals of motion
• Third-order superintegrable systems separating in polar coordinates
• Integrable and superintegrable systems with spin in three-dimensional Euclidean space
• Superintegrability with third-order integrals in quantum and classical mechanics
• Hamiltonians separable in Cartesian coordinates and third-order integrals of motion
• Integrable and superintegrable quantum systems in a magnetic field
• New exactly solvable systems with Fock symmetry
• Quantum superintegrable systems for arbitrary spin

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