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Noether's theorem for singular Lagrangians

José F. Cariñena1 and Manuel F. Rañada1

(1) Departamento de Fisica Teórica, Facultad de Ciencias, Universidad de Zaragoza, 50009 Zaragoza, Spain

Received: 5 November 1987  

Abstract  The correspondence between constants of motion and symmetries of a singular Langrangian system is studied. It is shown to be a one-to-one correspondence after an appropriate definition of both concepts. The theory is illustrated with an example.

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Referenced by
3 newer articles

  1. Rañada, M. F. (1991) The Theory of Equivalent Lagrangians Revisited: A Symplectic Approach. Fortschritte der Physik/Progress of Physics 39(1)
    [CrossRef]
  2. Léon, Manuel (1996) Symmetries and constants of the motion for singular Lagrangian systems. International Journal of Theoretical Physics 35(5)
    [CrossRef]
  3. Ferrario, C (1990) Journal of Physics A Mathematical and General 23(21)
    [CrossRef]
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