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The fine structure of Weber's hydrogen atom -- Bohr-Sommerfeld approach
- Publication Year :
- 2019
-
Abstract
- In this paper we determine in second order in the fine structure constant the energy levels of Weber's Hamiltonian admitting a quantized torus. Our formula coincides with the formula obtained by Wesley using the Schr\"odinger equation for Weber's Hamiltonian.<br />Comment: 15 pages, 1 figure
- Subjects :
- General Mathematics
FOS: Physical sciences
General Physics and Astronomy
01 natural sciences
Schrödinger equation
Physics::Fluid Dynamics
symbols.namesake
FOS: Mathematics
ddc:510
0101 mathematics
Mathematics::Symplectic Geometry
Mathematical Physics
Mathematical physics
Physics
Quantum Physics
Applied Mathematics
010102 general mathematics
Fine-structure constant
Torus
Mathematical Physics (math-ph)
Hydrogen atom
53Dxx 37J35 81S10
Mathematics::Spectral Theory
Physics::Classical Physics
Physics::History of Physics
Bohr model
010101 applied mathematics
Mathematics - Symplectic Geometry
symbols
Symplectic Geometry (math.SG)
Quantum Physics (quant-ph)
Hamiltonian (quantum mechanics)
Subjects
Details
- Language :
- English
- Database :
- OpenAIRE
- Accession number :
- edsair.doi.dedup.....6bd31cd548d2c76012438dcf886457e6