Summary
A new method is proposed for the construction of Lagrangian gauge transformations, the number of which matches that of independent primary first-class constraints in phase space. By imposing compatibility conditions with Lagrangian constraints, dynamical symmetries depending on arbitrary functions of time are found.
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References
P. Libermann andC. M. Marle:Symplectic Geometry and Analytical Mechanics (D. Reidel Publ., Dordrect, 1987);V. I. Arnol’d andS. P. Novikov (Editors):Dynamical Systems—IV: Symplectic Geometry and its Applications (Springer-Verlag, New York, NY., 1990).
X. Gràcia andJ. M. Pons:Ann. Phys.,187, 355 (1988).
L. Lusanna:Phys. Rep.,185, 1 (1990).
M. Henneaux, C. Teitelboim andJ. Zanelli:Nucl. Phys. B,332, 169 (1990).
J. Gomis, M. Henneaux andJ. M. Pons:Class. Quantum Gravity 7, 1089 (1990).
G. Marmo andN. Mukunda:Nuovo Cimento,92, 1 (1986).
G. Morandi, C. Ferrario, G. Lo Vecchio, G. Marmo andC. Rubano:Phys. Rep.,188, 147 (1990).
E. C. G. Sudarshan andN. Mukunda:Classical Dynamics: A Modern Perspective (J. Wiley, New York, N.Y., 1974).
C. Ferrario andA. Passerini:J. Phys. A,23, 5061 (1990).
C. Ferrario andA. Passerini:Lett. Math. Phys.,16, 207 (1988).
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Ferrario, C., Passerini, A. Compatibility conditions for gauge transformations. Nuov Cim B 107, 289–295 (1992). https://doi.org/10.1007/BF02728490
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DOI: https://doi.org/10.1007/BF02728490