Algebra with quadratic commutation relations for an axially perturbed Coulomb-Dirac field

DOI10.1023/B:TAMP.0000049763.86662.16zbMath1178.81133OpenAlexW2052034389MaRDI QIDQ844311

E. M. Novikova, Mikhail V. Karasev

Publication date: 19 January 2010

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

Full work available at URL: https://doi.org/10.1023/b:tamp.0000049763.86662.16

zbMATH Keywords

integrable systemscoherent statesDirac monopolenonlinear commutation relationsasymptotic spectrum behavior

Mathematics Subject Classification ID

Commutation relations and statistics as related to quantum mechanics (general) (81S05)

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Algebra with polynomial commutation relations for the Zeeman-Stark effect in the hydrogen atom ⋮ Wave functions of the Toda chain with boundary interaction ⋮ Algebra with polynomial commutation relations for the Zeeman effect in the Coulomb-Dirac field ⋮ 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

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