Algebra with polynomial commutation relations for the Zeeman effect in the Coulomb-Dirac field

DOI10.1007/s11232-005-0074-1zbMath1178.81132OpenAlexW2086429315MaRDI QIDQ844299

E. M. Novikova, Mikhail V. Karasev

Publication date: 18 January 2010

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

Full work available at URL: https://doi.org/10.1007/s11232-005-0074-1

zbMATH Keywords

integrable systemscoherent statesDirac monopoleasymptotic behavior of spectrumnonlinear commutation relations

Mathematics Subject Classification ID

Finite-dimensional groups and algebras motivated by physics and their representations (81R05) Commutation relations and statistics as related to quantum mechanics (general) (81S05)

Related Items (5)

Algebra with polynomial commutation relations for the Zeeman-Stark effect in the hydrogen atom ⋮ Asymptotics of the spectrum and quantum averages near the boundaries of spectral clusters for perturbed two-dimensional oscillators ⋮ Asymptotics of the spectrum and quantum averages of a perturbed resonant oscillator near the boundaries of spectral clusters ⋮ Algebra of symmetries of three-frequency hyperbolic resonance ⋮ Asymptotics of the spectrum of the hydrogen atom in a magnetic field near the lower boundaries of spectral clusters

Cites Work

• Unnamed Item
• Algebra with quadratic commutation relations for an axially perturbed Coulomb-Dirac field
• Representation of exact and semiclassical eigenfunctions via coherent states. The hydrogen atom in a magnetic field
• Quadratic Poisson brackets in the Zeeman effect. Irreducible representations and coherent states

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