Maslov's quantization conditions for the bound states of the hydrogen atom

DOI10.3836/TJM/1270150729zbMath0614.58013OpenAlexW1966165974MaRDI QIDQ1819800

Akira Yoshioka

Publication date: 1986

Published in: Tokyo Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3836/tjm/1270150729

zbMATH Keywords

eigenvalueSchrödinger operatorhydrogen atomLagrangian submanifoldeigenspace multiplicityMaslov's quantization

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Applications of manifolds of mappings to the sciences (58D30)

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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 ⋮ A Geometric Approach to a Quantum Counterpart of a Saddle-Node Bifurcation in a 1:1 Resonant Perturbed Oscillator ⋮ A Geometric Approach to a Quantum Counterpart of a Saddle-Node Bifurcation in a 1:1 Resonant Perturbed Oscillator

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