
TL;DR
This paper explores two classical mechanical systems with supersymmetry, providing explicit solutions by modeling variables within a Grassmann algebra framework, enhancing understanding of supersymmetric dynamics.
Contribution
It introduces concrete realizations of supersymmetric systems using Grassmann algebra with explicit solutions of equations of motion.
Findings
Explicit solutions for supersymmetric equations of motion
Realizations of supersymmetry in classical mechanics
Use of Grassmann algebra with two generators
Abstract
Two supersymmetric classical mechanical systems are discussed. Concrete realizations are obtained by supposing that the dynamical variables take values in a Grassmann algebra with two generators. The equations of motion are explicitly solved.
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