Abstract
The role of invariance considerations in conventional formulations of Noether's theorem in classical field theory is investigated and found weaker than is usually supposed. It is shown how nonfulfilment of the conventional assumptions going into Noether's theorem brings about nonconservation.
Similar content being viewed by others
References
Bacry, H., Combe, Ph. and Richard, J. L. (1970). Group-Theoretical Analysis of Elementary Particles in an External Electromagnetic Field. I. The Relativistic Particle in a Constant and Uniform Field,Nuovo Cimento,67A, 267, Appendix C.
Bjorken, J. D. and Drell, S. D. (1965).Relativistic Quantum Fields, Section 11.4. McGraw-Hill, Inc., New York.
Bogoliubov, N. N. and Shirkov, D. V. (1959).Introduction to the Theory of Quantized Fields, pp. 21–22. Interscience Publishers, Inc., New York.
Courant, R. and Hubert, D. (1953).Methods of Mathematical Physics, Vol. 1, p. 194. Interscience Publishers, Inc., New York.
Hill, E. L. (1951). Hamilton's Principle and the Conservation Theorems of Mathematical Physics.Reviews of Modern Physics,23, 253.
Rosen, J. (1970). Noether's Theorem in Classical Field Theory,Annals of Physics, to be published.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Rosen, J. Conventional formulations of Noether's theorem in classical field theory. Int J Theor Phys 4, 287–294 (1971). https://doi.org/10.1007/BF00674282
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF00674282