Quantum monodromy in the two-centre problem

DOI10.1088/0305-4470/36/20/103zbMath1038.81069OpenAlexW2013224079MaRDI QIDQ4450117

A. Junge, Holger R. Dullin, Holger Waalkens

Publication date: 15 February 2004

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

Full work available at URL: https://pure.rug.nl/ws/files/2989011/2003JPhysAWaalkens.pdf

Mathematics Subject Classification ID

Three-body problems (70F07) Bifurcations and instability for nonlinear problems in mechanics (70K50) Painlevé and other special ordinary differential equations in the complex domain; classification, hierarchies (34M55) Groups and algebras in quantum theory and relations with integrable systems (81R12) Molecular physics (81V55) Bifurcation theory of functional-differential equations (34K18)

Related Items (8)

The problem of two fixed centers: bifurcations, actions, monodromy ⋮ Hamiltonian Hopf bifurcation of the hydrogen atom in crossed fields ⋮ Rearrangement of energy bands: topological aspects ⋮ Hamiltonian systems with detuned 1:1:2 resonance: manifestation of bidromy ⋮ Uncovering fractional monodromy ⋮ Parallel transport along Seifert manifolds and fractional monodromy ⋮ Interpretation of quantum Hamiltonian monodromy in terms of lattice defects ⋮ Fractional Hamiltonian monodromy from a Gauss–Manin monodromy

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