TY - JOUR

T1 - Generalized Noether's theorem. I. theory

AU - Rosen, Joe

PY - 1974

Y1 - 1974

N2 - This article is a theoretical investigation of generalized Noether's theorem, which, though unconcerned with considerations such as coordinate transformations, symmetry, and invariance, is the basic mechanism of conventional Noether's theorem, its extensions, and its inverse. The generalized theorem is a completely new approach to the subject-formally, conceptually, and practically. It is an association, for a set of field equations, of field variations with conserved currents. The theorem is stated from two points of view and analyzed with regard to its interpretation and its formal and conceptual relation to conventional Noether's theorem and extensions, transformation groups, and Hamilton's principle. The inverse theorem is also treated. The role of coordinate transformations in conventional Noether's theorem is analyzed.

AB - This article is a theoretical investigation of generalized Noether's theorem, which, though unconcerned with considerations such as coordinate transformations, symmetry, and invariance, is the basic mechanism of conventional Noether's theorem, its extensions, and its inverse. The generalized theorem is a completely new approach to the subject-formally, conceptually, and practically. It is an association, for a set of field equations, of field variations with conserved currents. The theorem is stated from two points of view and analyzed with regard to its interpretation and its formal and conceptual relation to conventional Noether's theorem and extensions, transformation groups, and Hamilton's principle. The inverse theorem is also treated. The role of coordinate transformations in conventional Noether's theorem is analyzed.

UR - http://www.scopus.com/inward/record.url?scp=0142239770&partnerID=8YFLogxK

U2 - 10.1016/0003-4916(74)90331-5

DO - 10.1016/0003-4916(74)90331-5

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AN - SCOPUS:0142239770

SN - 0003-4916

VL - 82

SP - 54

EP - 69

JO - Annals of Physics

JF - Annals of Physics

IS - 1

ER -