Noether transformations with vanishing conserved quantity

Xavier Gràcia; Josep M. Pons

Annales de l'I.H.P. Physique théorique (1994)

  • Volume: 61, Issue: 3, page 315-327
  • ISSN: 0246-0211

How to cite

top

Gràcia, Xavier, and Pons, Josep M.. "Noether transformations with vanishing conserved quantity." Annales de l'I.H.P. Physique théorique 61.3 (1994): 315-327. <http://eudml.org/doc/76659>.

@article{Gràcia1994,
author = {Gràcia, Xavier, Pons, Josep M.},
journal = {Annales de l'I.H.P. Physique théorique},
keywords = {singular Lagrangians; primary Lagrangian constraints; secondary Hamiltonian constraints; primary Hamiltonian constraints},
language = {eng},
number = {3},
pages = {315-327},
publisher = {Gauthier-Villars},
title = {Noether transformations with vanishing conserved quantity},
url = {http://eudml.org/doc/76659},
volume = {61},
year = {1994},
}

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
PB - Gauthier-Villars
VL - 61
IS - 3
SP - 315
EP - 327
LA - eng
KW - singular Lagrangians; primary Lagrangian constraints; secondary Hamiltonian constraints; primary Hamiltonian constraints
UR - http://eudml.org/doc/76659
ER -

References

top
  1. [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. Zbl0771.58015MR1196870
  2. [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. Zbl0613.70012MR866595
  3. [3] J.-M. Pons, New Relations between Hamiltonian and Lagrangian Constraints, J. Phys. A: Math. Gen., Vol. 21, 1988, pp. 2705-2715. Zbl0658.70016MR953447
  4. [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. Zbl0689.58016MR995795
  5. [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. Zbl0778.58025MR1130547
  6. [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. MR980754
  7. [7] A.E. Noether, Invariante Variationsprobleme, Nachr. König. Gesell. Wissen. Göttingen, Math.-Phys. Kl., 1918, pp. 235-257. JFM46.0770.01
  8. [8] E. Bessel-Hagen, Über die Erhaltungssätze der Elektrodynamik, Math. Ann., Vol. 84, 1921, pp. 258-276. MR1512036JFM48.0877.02
  9. [9] E.L. Hill, Hamilton's Principle and the Conservation Theorems of Mathematical Physics, Rev. Mod. Phys., Vol. 23, 1951, pp. 253-260. Zbl0044.38509MR44959
  10. [10] J. Rosen, Generalized Noether's theorem. I. Theory, Ann. Phys. (N.Y.), Vol. 82, 1974, pp. 54-69. MR332060
  11. [11] P.J. Olver, Applications of Lie Groups to Differential Equations, GTM 107, Springer, New York, 1986. Zbl0588.22001MR836734
  12. [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. Zbl0739.58016MR1023501
  13. [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. Zbl0708.70018MR1083892
  14. [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 MR1111890
  15. [15] M. Henneaux, Lectures on the antifield-BRST Formalism for Gauge Theories, Nucl. Phys. B (Proc. Suppl.), Vol. 18A, 1990, pp. 47-105. Zbl0957.81711MR1128793
  16. [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. MR736479
  17. [17] J.-L. Anderson and P.G. Bergmann, Constraints in Covariant Field Theory, Phys. Rev., Vol. 83, 1951, pp. 1018-1025. Zbl0045.45505MR44382
  18. [18] L. Castellani, Symmetries in Constrained Hamiltonian Dynamics, Ann. Phys. (N.Y.), Vol. 143, 1982, pp. 357-371. MR682973
  19. [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. [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. Zbl0697.58022MR1053325
  21. [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. Zbl0689.53051MR995780

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.