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Classical Chern–Simons Mechanics

descriptionPublicationkeyboard_double_arrow_right Part of book or chapter of book , Other literature type 01 Jan 1992 English Publisher:Springer International Publishing

Authors: Martin Reuter; Walter Dittrich;

doi: 10.1007/978-3-319-21677-5_28 , 10.1007/978-3-642-56430-7_28 , 10.1007/978-3-030-36786-2_28 , 10.1007/978-3-319-58298-6_28 , 10.1007/978-3-642-97465-6_25 , 10.1007/978-3-642-97921-7_25

Classical Chern–Simons Mechanics

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Abstract

We are interested in a completely integrable Hamiltonian system \((\mathscr{M}_{2N},\omega,H).\) Local coordinates on the 2N-dimensional phase space \(\mathscr{M}_{2N}\) are denoted by η a = (p, q), a = 1, 2, … 2N and the symplectic 2-form ω is given by

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