Noether transformations with vanishing conserved quantity
Annales de l'I.H.P. Physique théorique, Tome 61 (1994) no. 3, pp. 315-327.
@article{AIHPA_1994__61_3_315_0,
     author = {Gr\`acia, Xavier and Pons, Josep M.},
     title = {Noether transformations with vanishing conserved quantity},
     journal = {Annales de l'I.H.P. Physique th\'eorique},
     pages = {315--327},
     publisher = {Gauthier-Villars},
     volume = {61},
     number = {3},
     year = {1994},
     mrnumber = {1311070},
     zbl = {0811.70013},
     language = {en},
     url = {http://www.numdam.org/item/AIHPA_1994__61_3_315_0/}
}
TY  - JOUR
AU  - Gràcia, Xavier
AU  - Pons, Josep M.
TI  - Noether transformations with vanishing conserved quantity
JO  - Annales de l'I.H.P. Physique théorique
PY  - 1994
SP  - 315
EP  - 327
VL  - 61
IS  - 3
PB  - Gauthier-Villars
UR  - http://www.numdam.org/item/AIHPA_1994__61_3_315_0/
LA  - en
ID  - AIHPA_1994__61_3_315_0
ER  - 
%0 Journal Article
%A Gràcia, Xavier
%A Pons, Josep M.
%T Noether transformations with vanishing conserved quantity
%J Annales de l'I.H.P. Physique théorique
%D 1994
%P 315-327
%V 61
%N 3
%I Gauthier-Villars
%U http://www.numdam.org/item/AIHPA_1994__61_3_315_0/
%G en
%F AIHPA_1994__61_3_315_0
Gràcia, Xavier; Pons, Josep M. Noether transformations with vanishing conserved quantity. Annales de l'I.H.P. Physique théorique, Tome 61 (1994) no. 3, pp. 315-327. http://www.numdam.org/item/AIHPA_1994__61_3_315_0/

[1] X. Gràcia and J.-M. Pons, A Hamiltonian Approach to Lagrangian Noether Transformations, J. Phys. A: Math. Gen., Vol. 25, 1992, pp. 6357-6369. | MR | Zbl

[2] C. Batlle, J. Gomis, J.-M. Pons and N. Román-Roy, Equivalence between the Lagrangian and Hamiltonian Formalisms for Constrained Systems, J. Math. Phys., Vol. 27, 1986, pp. 2953-2962. | MR | Zbl

[3] J.-M. Pons, New Relations between Hamiltonian and Lagrangian Constraints, J. Phys. A: Math. Gen., Vol. 21, 1988, pp. 2705-2715. | MR | Zbl

[4] X. Gràcia and J.-M. Pons, On an Evolution Operator Connecting Lagrangian and Hamiltonian Formalisms, Lett. Math. Phys., Vol. 17, 1989, pp. 175-180. | MR | Zbl

[5] X. Gràcia, J.-M. Pons and N. Román-Roy, Higher-Order Lagrangian Systems: Geometric Structures, Dynamics, and Constraints, J. Math. Phys., Vol. 32, 1991, pp. 2744-2763. | MR | Zbl

[6] X. Gràcia and J.-M. Pons, Gauge Transformations, Dirac's Conjecture and Degrees of Freedom for Constrained System, Ann. Phys., (N.Y.), Vol. 187, 1988, pp. 355-368. | MR

[7] A.E. Noether, Invariante Variationsprobleme, Nachr. König. Gesell. Wissen. Göttingen, Math.-Phys. Kl., 1918, pp. 235-257. | EuDML | JFM

[8] E. Bessel-Hagen, Über die Erhaltungssätze der Elektrodynamik, Math. Ann., Vol. 84, 1921, pp. 258-276. | EuDML | JFM | MR

[9] E.L. Hill, Hamilton's Principle and the Conservation Theorems of Mathematical Physics, Rev. Mod. Phys., Vol. 23, 1951, pp. 253-260. | MR | Zbl

[10] J. Rosen, Generalized Noether's theorem. I. Theory, Ann. Phys. (N.Y.), Vol. 82, 1974, pp. 54-69. | MR

[11] P.J. Olver, Applications of Lie Groups to Differential Equations, GTM 107, Springer, New York, 1986. | MR | Zbl

[12] J.-F. Cariñena, C. López and E. Martínez, A New Approach to the Converse of Noether's theorem, J. Phys. A: Math. Gen., Vol. 22, 1989, pp. 4777-4786. | MR | Zbl

[13] C. Ferrario and A. Passerini, Symmetries and Constants of Motion for Constrained Lagrangian Systems: a Presymplectic Version of the Noether Theorem, J. Phys. A: Math. Gen., Vol. 23, 1990, pp. 5061-5081. | MR | Zbl

[14] L. Lusanna, The second Noether Theorem as the Basis of the Theory of Singular Lagrangians and Hamiltonian Constraints, Riv. Nuovo Cim., Vol. 14 (3), 1991 | MR

[15] M. Henneaux, Lectures on the antifield-BRST Formalism for Gauge Theories, Nucl. Phys. B (Proc. Suppl.), Vol. 18A, 1990, pp. 47-105. | MR | Zbl

[16] I.A. Batalin and G.A. Vilkovisky, Closure of the Gauge Algebra, Generalized Lie Equations and Feynman Rules, Nucl. Phys. B, Vol. 234, 1984, pp. 106-124. | MR

[17] J.-L. Anderson and P.G. Bergmann, Constraints in Covariant Field Theory, Phys. Rev., Vol. 83, 1951, pp. 1018-1025. | MR | Zbl

[18] L. Castellani, Symmetries in Constrained Hamiltonian Dynamics, Ann. Phys. (N.Y.), Vol. 143, 1982, pp. 357-371. | MR

[19] J. Gomis, K. Kamimura and J.-M. Pons, To Construct Gauge Transformations from Singular Lagrangians, Europhys. Lett., Vol. 2, 1986, pp. 187-194.

[20] J. Gomis, M. Henneaux and J.-M. Pons, Existence Theorem for Gauge Symmetries in Hamiltonian Constrained Systems, Class. Quantum Grav., Vol. 7, 1990, pp. 1089-1096. | MR | Zbl

[21] C. Batlle, J. Gomis, X. Gràcia and J.-M. Pons, Noether's Theorem and Gauge Transformations: Application to the Bosonic String and CPn-12 Model, J. Math. Phys., Vol. 30, 1989, pp. 1345-1350. | MR | Zbl