Contents.
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4.1. Generalities
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4.1.1. Constrained Equations of Motion
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4.1.2. Reduction of the Axial Symmetry
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4.2. Classification of Quadratic Spherical Pendula
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4.2.1. Critical Values of the Energy-Momentum Map
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4.2.2. Reconstruction
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4.3. Classical and Quantum Monodromy
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4.3.1. Classical Monodromy
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4.3.2. Quantum Monodromy
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4.4. Monodromy in the Family of Quadratic Spherical Pendula
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4.4.1. Monodromy in Type O and Type II Systems
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4.4.2. Non-local Monodromy
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4.5. Quantum Monodromy in the Quadratic Spherical Pendula
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4.6. Geometric Hamiltonian Hopf Bifurcations
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4.7. The LiCN Molecule
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© 2005 Springer-Verlag Berlin/Heidelberg
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Efstathiou, K. (2005). 4. Quadratic Spherical Pendula. In: Metamorphoses of Hamiltonian Systems with Symmetries. Lecture Notes in Mathematics, vol 1864. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-31550-6_5
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DOI: https://doi.org/10.1007/978-3-540-31550-6_5
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