Elements of (super-)Hamiltonian Formalism

Details Elements of (super-)Hamiltonian Formalism Elements of (super-)Hamiltonian Formalism

2005-06-21

arxiv.org/abs/hep-th/0506170v3

Lect.Notes Phys.698:139-188,2006

Physics

High Energy Physics

High Energy Physics - Theory

Lectures given at the Winter School on Modern Trends in Supersymmetric Mechanics, March 2005 Frascati; misprints corrected

Scientific paper

10.1007/3-540-33314-2_4

In these lectures we discuss some basic aspects of Hamiltonian formalism, which usually do not appear in standard texbooks on classical mechanics for physicists. We pay special attention to the procedure of Hamiltonian reduction illustrating it by the examples related to Hopf maps. Then we briefly discuss the supergeneralisation(s) of the Hamiltonian formalism and present some simple models of supersymmetric mechanics on K\"ahler manifolds.

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