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4. Quadratic Spherical Pendula

  • Konstantinos EfstathiouEmail author
Chapter
Part of the Lecture Notes in Mathematics book series (LNM, volume 1864)

Contents.

  • 4.1. Generalities
    • 4.1.1. Constrained Equations of Motion

    • 4.1.2. Reduction of the Axial Symmetry

  • 4.2. Classification of Quadratic Spherical Pendula
    • 4.2.1. Critical Values of the Energy-Momentum Map

    • 4.2.2. Reconstruction

  • 4.3. Classical and Quantum Monodromy
    • 4.3.1. Classical Monodromy

    • 4.3.2. Quantum Monodromy

  • 4.4. Monodromy in the Family of Quadratic Spherical Pendula
    • 4.4.1. Monodromy in Type O and Type II Systems

    • 4.4.2. Non-local Monodromy

  • 4.5. Quantum Monodromy in the Quadratic Spherical Pendula

  • 4.6. Geometric Hamiltonian Hopf Bifurcations

  • 4.7. The LiCN Molecule

Mathematics Subject Classification (2000):

70E40 70H33 70H05 70H06 70K45 70K75 

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Copyright information

© Springer-Verlag Berlin/Heidelberg 2005

Authors and Affiliations

  1. 1.MREID, Université du LittoralDunkerqueFrance

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