Hamiltonian Mechanics pp 353-360 | Cite as
Antibrackets and Supersymmetric Mechanics
Chapter
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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