Monodromy of the quantum 1:1:2 resonant swing spring
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Publication:3024164
DOI10.1063/1.1811788zbMath1064.81022OpenAlexW2049927143MaRDI QIDQ3024164
Andrea Giacobbe, Dmitrií A. Sadovskií, Richard H. Cushman, Boris I. Zhilinskiĭ
Publication date: 30 June 2005
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1063/1.1811788
Hamilton's equations (70H05) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Monodromy on manifolds (58K10)
Related Items (11)
An introduction to classical monodromy: Applications to molecules in external fields ⋮ Dynamical manifestations of Hamiltonian monodromy ⋮ Rearrangement of energy bands: topological aspects ⋮ Hamiltonian systems with detuned 1:1:2 resonance: manifestation of bidromy ⋮ Uncovering fractional monodromy ⋮ A Lagrangian fibration of the isotropic 3-dimensional harmonic oscillator with monodromy ⋮ Global properties of integrable Hamiltonian systems ⋮ Fractional monodromy: parallel transport of homology cycles ⋮ Interpretation of quantum Hamiltonian monodromy in terms of lattice defects ⋮ Monodromy in non-integrable systems on certain compact classical phase spaces ⋮ Fractional Hamiltonian monodromy from a Gauss–Manin monodromy
Cites Work
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- Quantum monodromy in integrable systems
- Monodromy in the resonant swing spring
- Fractional monodromy of resonant classical and quantum oscillators
- Symmetry, invariants, topology. Basic tools
- Another note on focus-focus singularities
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- Monodromy, diabolic points, and angular momentum coupling
- The quantum mechanical spherical pendulum
- On global action-angle coordinates
- Monodromy of a two degrees of freedom Liouville integrable system with many focus focus singular points
- Singular Bohr–Sommerfeld rules for 2D integrable systems
- Stepwise Precession of the Resonant Swinging Spring
- Non-Hamiltonian monodromy
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