A compactness theorem for Frozen planets

DOI10.1142/s1793525321500448zbMath1529.81114arXiv2010.15532OpenAlexW3199196763MaRDI QIDQ6044803

Urs Adrian Frauenfelder

Publication date: 22 May 2023

Published in: Journal of Topology and Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2010.15532

zbMATH Keywords

semiclassicsHamiltonian delay equationHelium

Mathematics Subject Classification ID

Atomic physics (81V45) Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20) Orbital mechanics (70M20) Planetary atmospheres (85A20) Applications of vector bundles and moduli spaces in mathematical physics (twistor theory, instantons, quantum field theory) (14D21) Equational compactness (08A45) Delay control/observation systems (93C43)

Related Items (3)

Helium and Hamiltonian delay equations ⋮ Nondegeneracy and integral count of frozen planet orbits in helium ⋮ A variational approach to frozen planet orbits in helium

Cites Work

• Chaos in classical and quantum mechanics
• The fine structure of Weber's hydrogen atom: Bohr-Sommerfeld approach
• Helium and Hamiltonian delay equations
• Hamiltonian delay equations -- examples and a lower bound for the number of periodic solutions
• An iterated graph construction and periodic orbits of Hamiltonian delay equations
• A compactness result for non-local unregularized gradient flow lines

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