| Título: | On a Non-variational Viewpoint in Newtonian Mechanics |
| Autores: | Kumar, Mukesh |
| Fecha: | 2012-03-09 |
| Publicador: | Advances in Physics Theories and Applications |
| Fuente: |
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| Tipo: |
info:eu-repo/semantics/article Peer-reviewed Article info:eu-repo/semantics/publishedVersion |
| Tema: | No aplica |
| Descripción: | Certain features of the works of Dyson (Am. J. Phys. 58(1990) 209 ), Hojman and Shepley (J. Math. Phys. 32(1991) 142), and, Hughes (Am.J. Phys. 60(1992) 142 ) are integrated with our definition of the Poisson bracket on a tangent bundle (velocity phase space ) to address the Noether theorem inversion and inverse problem in the Newtonian mechanics from a novel viewpoint without assuming apriori a Lagrangian or Hamiltonian . From this standpoint we study the existence, uniqueness and form of the Lagrangian, and, how to pass from conservation laws to Noether symmetries. Keywords: Noether theorem, Conservation laws, Symmetry |
| Idioma: | Inglés |