On the Lie symmetry algebras of the stationary Schrödinger and Pauli equations

DOI10.1007/s11182-017-0959-0zbMath1380.35131OpenAlexW2588890489MaRDI QIDQ1695484

M. N. Boldyreva, Alexey A. Magazev

Publication date: 7 February 2018

Published in: Russian Physics Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11182-017-0959-0

zbMATH Keywords

Lie algebraSchrödinger equationcentral extensionPauli equationsymmetry operator

Mathematics Subject Classification ID

Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) PDEs in connection with quantum mechanics (35Q40) Time-dependent Schrödinger equations and Dirac equations (35Q41)

Related Items (2)

Symmetries of Schrödinger–Pauli equations for charged particles and quasirelativistic Schrödinger equations ⋮ Symmetries of Schrödinger equation with scalar and vector potentials

Cites Work

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• Second-order integrals for systems in \(E_2\) involving spin
• Noncommutative integration of linear differential equations
• Algebra of symmetry operators and integration of the Klein-Gordon equation in an external electromagnetic field
• Magnetic geodesic flows on homogeneous manifolds
• Classical and quantum superintegrability with applications
• Integrability and supersymmetry of Schrödinger-Pauli equations for neutral particles
• Integrable and superintegrable systems with spin in three-dimensional Euclidean space
• Subgroups of the Euclidean group and symmetry breaking in nonrelativistic quantum mechanics

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