Symmetries and the explanation of conservation laws in the light of the inverse problem in Lagrangian mechanics

Studies in History and Philosophy of Science Part B - Studies in History and Philosophy of Modern Physics

Volumn 39, Issue 2, 2008, Pages 325-345

  Smith, Sheldon R ^a  

^a UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 43049170492     PISSN: 13552198     EISSN: 18792502     Source Type: Journal    
DOI: 10.1016/j.shpsb.2007.12.001     Document Type: Article

References (35)

1. H. Brown P. Holland Dynamical vs. variational symmetries: Understanding Noether's first theorem Molecular Physics 102 2004 1133 1139
2. J. Butterfield On symmetry and conserved quantities W. Demopoulos I. Pitowsky Physical theory and its interpretation: Essays in honor of Jeffrey Bub 2006 Springer Dordrecht, Holland 43 100
3. N. Cartwright How the laws of physics lie 1983 Clarendon Press Oxford
4. M. Crampin G. Prince Generalizing gauge variance for spherically symmetric potentials Journal of Physics A: Mathematical and General 18 1985 2167 2175
5. M. Crampin G. Prince Alternative Lagrangians for spherically symmetric potentials Journal of Mathematical Physics 29 7 1988 1551 1554
6. R. Feynman R. Leighton M. Sands The Feynman lectures on physics 1989 Addison-Wesley Redwood City, CA
7. S. Ghosh J. Shamanna B. Talukdar Inequivalent Lagrangians for the damped harmonic oscillator Canadian Journal of Physics 82 2004 561 567
8. R. Giere Science without laws 1999 University of Chicago Press Chicago
9. H. Goldstein Classical mechanics 1980 Addision-Wesley Reading MA
10. D. Greenwood Classical dynamics 1977 Dover Publications Inc. Minneola, NY
11. M. Henneaux On the inverse problem of the calculus of variations in field theory Journal of Physics A: Mathematical and General 17 1984 75 85
12. M. Henneaux L.C. Shepley Lagrangians for spherically symmetric potentials Journal of Mathematical Physics 23 11 1982 2101 2107
13. S. Hojman H. Harleston Equivalent Lagrangians: Multidimensional case Journal of Mathematical Physics 22 7 1981 1414 1419
14. S. Hojman L. Urrutia Comments on “physical consequences of the choice of the Lagrangian” Physical Review D 26 2 1982 527 528
15. R. Houtappel H.V. Dam E. Wigner The conceptual basis and use of the geometric invariance principles Reviews of Modern Physics 37 1965 595 632
16. J. José E. Saletan Classical dynamics: A contemporary approach 1998 Cambridge University Press Cambridge
17. C. Lanczos Variational principles of mechanics 1986 Dover Publications Inc. New York
18. L. Landau E. Lifshitz Mechanics 3rd ed. 1976 Pergamon Press Oxford
19. M. Lange Laws and meta-laws of nature: Conservation laws and symmetries Studies in the History and Philosophy of Modern Physics 38 2007 457 481
20. N.A. Lemos Physical consequences of the choice of Lagrangian Physical Review D 24 4 1981 1036 1039
21. J. Lopuszanski The inverse variational problem in classical mechanics 1999 World Scientific Singapore
22. R. Matzner L. Shelpey Classical mechanics 1991 Prentice Hall Englewood Cliffs, NJ
23. G. Morandi C. Ferrario G.L. Vecchio The inverse problem in the calculus of variations and the geometry of the tangent bundle Physics Reports 188 3 1990 147 284
24. P. Olver Applications of lie groups to differential equations 1993 Springer New York
25. G. Prince The inverse problem in the calculus of variations and its ramifications Geometric approaches of differential equations 2000 Cambridge University Press Cambridge 171 200
26. M.F. Rañada Alternative Lagrangians for central potentials Journal of Mathematical Physics 32 10 1991 2764 2769
27. R.M. Santilli Foundations of theoretical mechanics I: The inverse problem in Newtonian mechanics 1978 Springer New York
28. R.M. Santilli Foundations of theoretical mechanics II: Birkhoffian generalization of Hamiltonian mechanics 1983 Springer New York
29. R. Shankar Principles of quantum mechanics 1980 Plenum Press New York
30. K.R. Symon Mechanics 1960 Addison-Wesley Reading, MA
31. W. Thirring Classical mathematical physics 1997 Springer New York
32. B. van Fraassen Laws and symmetry 1989 Clarendon Press Oxford
33. B. van Fraassen Armstrong, cartwright, and earman on laws and symmetry Philosophy and Phenomenological Research LIII 2 1993 431 444
34. E. Wigner Conservation laws in classical and quantum physics Progress of Theoretical Physics 11 1954 437 440
35. E. Wigner Symmetries and reflections 1967 Indiana University Press Bloomington