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 in Grassmann algebra, providing solutions for systems described by SUSY Lagrangians.
Contribution
It introduces a Hamilton-Jacobi approach tailored for constrained classical systems within Grassmann algebra, specifically addressing SUSY Lagrangian systems.
Findings
Derived Hamilton-Jacobi equations in Grassmann algebra
Obtained solutions for SUSY Lagrangian systems
Extended classical mechanics methods to Grassmann algebra
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