Elements of (Super-)Hamiltonian Formalism

2005/06/30 by Armen Nersessian, A. Nersessian · 1 citation
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Covariant Hamiltonian field theory #Formalism (music) #Hamiltonian (control theory) #Hamiltonian formalism #Hamiltonian mechanics #Hamiltonian system #Homotopy and Cohomology in Algebraic Topology #Nonlinear Waves and Solitons #hep-th

paper · pdf · doi:10.1007/3-540-33314-2_4

published as Lect.Notes Phys.698:139-188,2006 · Lectures given at the Winter School on Modern Trends in Supersymmetric Mechanics, March 2005 Frascati; misprints corrected

arxiv created 2006/04/28 · openalex publication_date 2006/08/30 · arxiv updated 2011/03/28 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

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 Kähler manifolds.

Citations

• Electric-magnetic duality, monopole condensation, and confinement in N=2 supersymmetric Yang-Mills theory
• Quantum oscillator onCPnin a constant magnetic field
• Even and odd symplectic and Kählerian structures on projective superspaces
• Supersymmetry and Quantum Mechanics

Cited by

• Variational problem for Hamiltonian system on so(k, m) Lie–Poisson manifold and dynamics of semiclassical spin