Internal Lagrangians and spatial-gauge symmetries
Date
2024
Authors
Druzhkov, Kostya
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International Press of Boston
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Article
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Abstract
A direct reformulation of the Hamiltonian formalism in terms of the intrinsic geometry of infinitely prolonged differential equations is obtained. Concepts of spatial equation and spatial-gauge symmetry of a Lagrangian system of equations are introduced. A noncovariant canonical variational principle is proposed and demonstrated using the Maxwell equations as an example. A covariant canonical variational principle is formulated. The results obtained are applicable to any variational equations, including those that do not originate in physics.
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https://creativecommons.org/licenses/by-nc-nd/4.0/
Keywords
Internal Lagrangians, Presymplectic structures, Hamiltonian formalism, Phase space
Citation
Druzhkov, K. (2024). Internal Lagrangians and spatial-gauge symmetries, Advances in Theoretical and Mathematical Physics, 28(8), 2759–2782. https://dx.doi.org/10.4310/ATMP.241119041118
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DOI
10.4310/ATMP.241119041118