Antibrackets and Supersymmetric Mechanics

  • Armen Nersessian
Chapter
Part of the NATO ASI Series book series (NSSB, volume 331)

Abstract

Using the odd symplectic structure constructed over the tangent bundle of the symplectic manifold we construct the simple supergeneralization of an arbitrary Hamiltonian mechanics. In the case where the initial mechanics defines the Killing vector of some Riemannian metric, the corresponding supersymmetric mechanics can be reformulated in terms of the even symplectic structure on the supermanifold.

Keywords

Hamiltonian System Poisson Bracket Tangent Bundle Symplectic Manifold Symplectic Structure 
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Copyright information

© Springer Science+Business Media New York 1994

Authors and Affiliations

  • Armen Nersessian
    • 1
  1. 1.Laboratory of Theoretical PhysicsJINR, DubnaMoscowRussia

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