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1991

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Please use this identifier to cite or link to this item: https://hdl.handle.net/2445/24566

Higher order Lagrangian systems: Geometric structures, Dynamics, and Constraints

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http://dx.doi.org/10.1063/1.529066

Abstract

In order to study the connections between Lagrangian and Hamiltonian formalisms constructed from aperhaps singularhigher-order Lagrangian, some geometric structures are constructed. Intermediate spaces between those of Lagrangian and Hamiltonian formalisms, partial Ostrogradskiis transformations and unambiguous evolution operators connecting these spaces are intrinsically defined, and some of their properties studied. Equations of motion, constraints, and arbitrary functions of Lagrangian and Hamiltonian formalisms are thoroughly studied. In particular, all the Lagrangian constraints are obtained from the Hamiltonian ones. Once the gauge transformations are taken into account, the true number of degrees of freedom is obtained, both in the Lagrangian and Hamiltonian formalisms, and also in all the intermediate formalisms herein defined.

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Camps de galga (Física), Teoria de camps (Física), Teoria quàntica

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Gauge fields (Physics), Field theory (Physics), Quantum theory

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Articles publicats en revistes (Física Quàntica i Astrofísica)

Citation

GRÀCIA, Xavier, PONS RÀFOLS, Josep Maria and ROMÁN-ROY, Narciso. Higher order Lagrangian systems: Geometric structures, Dynamics, and Constraints. Journal of Mathematical Physics. 1991. Vol. 32, num. 2744. ISSN 0022-2488. [consulted: 13 of June of 2026]. Available at: https://hdl.handle.net/2445/24566

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