Hamilton-Jakobi method for classical mechanics in Grassmann algebra
K. V. Tabunshchyk
TL;DR
This paper extends the Hamilton-Jacobi method to classical mechanics with constraints using Grassmann algebra, providing solutions for systems described by supersymmetric Lagrangians.
Contribution
It introduces a novel Hamilton-Jacobi approach within Grassmann algebra for constrained classical systems, especially those with supersymmetry.
Findings
Solution for constrained SUSY classical systems obtained
Hamilton-Jacobi method adapted to Grassmann algebra
Framework applicable to supersymmetric mechanics
Abstract
We present the Hamilton-Jakobi method for the classical mechanics with constrains in Grassmann algebra. In the frame of this method the solution for the classical system characterized by the SUSY Lagrangian is obtained.
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Taxonomy
TopicsMatrix Theory and Algorithms · Algebraic and Geometric Analysis