Results 151 to 160 of about 232 (162)
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2011
A major contribution to the development of the physics of fundamental interactions, in fact for the whole physics, was the theorem developed by Emmy Noether in 1918 [10, 105, 106], showing how to construct the observables of a theory, given its Lagrangian and Lie symmetry groups.
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A major contribution to the development of the physics of fundamental interactions, in fact for the whole physics, was the theorem developed by Emmy Noether in 1918 [10, 105, 106], showing how to construct the observables of a theory, given its Lagrangian and Lie symmetry groups.
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On the Lasker-Noether Decomposition Theorem
American Journal of Mathematics, 1984This is a paper on Noetherian rings from a constructive point of view. It is a natural continuation of a previous paper by the author [Trans. Am. Math. Soc. 197, 273-313 (1974; Zbl 0356.13007)] where it was shown how to construct a primary decomposition and to find the associated prime ideals of a given ideal in a polynomial ring over a field.
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New Approach to the Noether Theorems
Journal of Mathematical Physics, 1971The Noether theorems were derived by Noether for n-dimensional Euclidean spaces, but they have been used by many writers in relativistic theories where the geometry is not Euclidean. We give a derivation of the Noether theorems, assuming only a Riemannian space and following the method used by Noether as closely as possible.
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Hamilton’s Principle and Noether’s Theorem
2005Abstract This chapter presents extended forms of Hamilton’s principle and the phase space Hamilton’s principle based on the extended Lagrangian and Hamiltonian methods developed earlier. It also discusses Noether’s theorem, a method for using symmetries of the extended Lagrangian to identify quantities that are conserved during the ...
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