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Title: Higher order Lagrangian systems: Geometric structures, Dynamics, and Constraints
Author: Gràcia, Xavier
Pons Ràfols, Josep Maria
Román-Roy, Narciso
Keywords: Camps de galga (Física)
Teoria de camps (Física)
Teoria quàntica
Gauge fields (Physics)
Field theory (Physics)
Quantum theory
Issue Date: 1991
Publisher: American Institute of Physics
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.
Note: Reproducció del document proporcionada per AIP i
It is part of: Journal of Mathematical Physics, 1991, vol. 32, p. 2744
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ISSN: 0022-2488
Appears in Collections:Articles publicats en revistes (Física Quàntica i Astrofísica)

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