Singular Lagrangians in supermechanics
Jos\'e F. Cari\~nena, H\'ector Figueroa
TL;DR
This paper introduces the time evolution operator in supermechanics and explores its role in analyzing the projectability of constraints in systems with singular Lagrangians.
Contribution
It presents a novel application of the operator $K$ in the graded context to study constraints in supermechanics.
Findings
Operator $K$ effectively analyzes constraint projectability.
Enhanced understanding of singular Lagrangian systems.
Framework applicable to graded and supersymmetric models.
Abstract
The time evolution operator is introduced in the graded context and its main properties are discussed. In particular, the operator is used to analize the projectability of constraint functions arising in the Lagrangian formalism for singular Lagrangians.
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Taxonomy
TopicsNonlinear Waves and Solitons · Algebraic structures and combinatorial models · Numerical methods for differential equations