The quantization condition in the presence of a magnetic field and quasiclassical eigenvalues of the Kepler problem with a centrifugal potential and Dirac’s monopole field

DOI10.1063/1.528725zbMath0716.58034OpenAlexW2058749222MaRDI QIDQ3203749

Kiyotaka Ii, Akira Yoshioka

Publication date: 1990

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

Full work available at URL: https://doi.org/10.1063/1.528725

zbMATH Keywords

eigenvaluesKepler problemDirac monopolequasiclassical approximationMaslov quantization

Mathematics Subject Classification ID

Applications of global analysis to the sciences (58Z05) Electromagnetic interaction; quantum electrodynamics (81V10) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) Geometric quantization (53D50)

Cites Work

• On the multiplicities of the spectrum for quasi-classical mechanics on spheres
• Maslov's quantization conditions for the bound states of the hydrogen atom
• The four-dimensional conformal Kepler problem reduces to the three-dimensional Kepler problem with a centrifugal potential and Dirac’s monopole field. Classical theory
• The quantised MIC-Kepler problem and its symmetry group for negative energies

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