Representation of exact and semiclassical eigenfunctions via coherent states. The hydrogen atom in a magnetic field

DOI10.1007/BF02070240zbMath1041.81540MaRDI QIDQ1817596

E. M. Novikova, Mikhail V. Karasev

Publication date: 2 March 2000

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

Mathematics Subject Classification ID

Applications of operator theory in the physical sciences (47N50) Atomic physics (81V45) Coherent states (81R30) Applications of hypergeometric functions (33C90)

Related Items (15)

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 of the hydrogen atom in orthogonal electric and magnetic fields near the lower boundaries of spectral clusters ⋮ Semiclassical asymptotics of the spectrum of the hydrogen atom in an electromagnetic field near the upper boundaries of spectral clusters ⋮ Coherent transform of the spectral problem and algebras with nonlinear commutation relations. ⋮ Semiclassical asymptotics of the spectrum of the hydrogen atom in an electromagnetic field near the lower boundaries of spectral clusters ⋮ Asymptotics of the spectrum and quantum averages of a perturbed resonant oscillator near the boundaries of spectral clusters ⋮ New approach to the procedure of quantum averaging for the Hamiltonian of a resonance harmonic oscillator with polynomial perturbation for the example of the spectral problem for the cylindrical Penning trap ⋮ 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 ⋮ On the asymptotics of the spectrum of the hydrogen atom in orthogonal electric and magnetic fields near the upper boundaries of spectral clusters ⋮ Inserted perturbations generating asymptotical integrability ⋮ Constructive semiclassical asymptotics of bound states of graphene in a constant magnetic field with small mass

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