TY - JOUR

T1 - Symmetry and conservation

T2 - Inverse Noether’s theorem and general formalism

AU - Rosen, Joe

PY - 1980/3/1

Y1 - 1980/3/1

N2 - The previously developed ‘continuous temporal development and Noether’s theorem’ approach to the association of symmetries and conservations of the laws of nature, part of the foundation of any (classical or quantum) Lagrangian theory, is generalised significantly. Within this framework a strong result is obtained for the inverse Noether’s theorem, associating symmetries with given conservations. A general symmetry-conservation formalism is proposed, into which both the previously developed ‘linear temporal development and conserved eigenheit’ approach, part of the foundation of any quantum theory and also applicable to certain classical ones, and the ‘continuous temporal…’ approach, as different as they are, fit nicely.

AB - The previously developed ‘continuous temporal development and Noether’s theorem’ approach to the association of symmetries and conservations of the laws of nature, part of the foundation of any (classical or quantum) Lagrangian theory, is generalised significantly. Within this framework a strong result is obtained for the inverse Noether’s theorem, associating symmetries with given conservations. A general symmetry-conservation formalism is proposed, into which both the previously developed ‘linear temporal development and conserved eigenheit’ approach, part of the foundation of any quantum theory and also applicable to certain classical ones, and the ‘continuous temporal…’ approach, as different as they are, fit nicely.

UR - http://www.scopus.com/inward/record.url?scp=33646646746&partnerID=8YFLogxK

U2 - 10.1088/0305-4470/13/3/014

DO - 10.1088/0305-4470/13/3/014

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AN - SCOPUS:33646646746

SN - 1751-8113

VL - 13

SP - 803

EP - 813

JO - Journal of Physics A: Mathematical and Theoretical

JF - Journal of Physics A: Mathematical and Theoretical

IS - 3

ER -