Generalized Noether theorems and applications

Journal Article · Thu Jan 31 23:00:00 EST 1991 · International Journal of Theoretical Physics; (United States)

DOI:https://doi.org/10.1007/BF00670715· OSTI ID:5616217

Zi-Ping, Li ^[1]; Xin, Li ^[2]

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1. Beijing Polytechnic Univ. (China)
2. Chinese Academy, Beijing (China)

The authors generalize the first and second Noether theorems (Noether identities) to a constrained system in phase space. As an example, the conservation law deriving from Lagrange's formalism cannot be obtained from H{sub E} via the generalized first Noether theorem (GFN); Dirac's conjecture regarding secondary first-class constraints (SFCC) is invalid in this example. A preliminary application of the generalized Noether identifies (GNI) to nonrelativistic charged particles in an electromagnetic field shows that on the constrained hypersurface in phase space one obtains electric charge conservation. This conservation law is valid whether Dirac's conjecture holds true or not.

• OSTI ID: 5616217
• Journal Information: International Journal of Theoretical Physics; (United States), Journal Name: International Journal of Theoretical Physics; (United States) Vol. 30:2; ISSN 0020-7748; ISSN IJTPB
• Country of Publication: United States
• Language: English

Related Subjects

661100* -- Classical & Quantum Mechanics-- (1992-)
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
CHARGED PARTICLES
CONSERVATION LAWS
DIFFERENTIAL EQUATIONS
ELECTRIC CHARGES
ELECTROMAGNETIC FIELDS
EQUATIONS
INVARIANCE PRINCIPLES
LAGRANGE EQUATIONS
MATHEMATICAL SPACE
PARTIAL DIFFERENTIAL EQUATIONS
PHASE SPACE
SPACE