Classical Chern-Simons Mechanics

  • Walter Dittrich
  • Martin Reuter


We are interested in a completely integrable Hamiltonian system (M2N, ω, H). Local coordinates on the 2N -dimensional phase space M2N are denoted by η a = (p, q), a = 1,2,... 2N and the symplectic 2-form ω is given by
$$ \omega \;{\rm{ = }}\;\frac{1}{2}{\omega _{ab}}d{\eta ^a} \wedge \;d{\eta ^b}{\rm{ }}{\rm{.}} $$


Gauge Field Classical Trajectory Closed Path Integrable Hamiltonian System Topological Class 
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Copyright information

© Springer-Verlag Berlin Heidelberg 1992

Authors and Affiliations

  • Walter Dittrich
    • 1
  • Martin Reuter
    • 2
  1. 1.Institut für Theoretische PhysikUniversität TübingenTübingenFed. Rep. of Germany
  2. 2.Institut für Theoretische PhysikUniversität HannoverHannover 1Fed. Rep. of Germany

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