Published 1983 | Version v1
Miscellaneous

On new symmetries and conservation laws for an electromagnetic field

  • 1. AN Ukrainskoj SSR, Kiev. Inst. Matematiki

Description

The problem of existence of an additional symmetry, besides relativistic and conformal invariance, is considered for the Maxwell equations, because the symmetry with respect to the proper conformal transformations doesn't lead to new conservation laws. Equations for an electromagnetic field are shown to possess a hidden non-Lie symmetry, from which the existence of new (non-classical) integrals of motion follows. The non-Lie symmetry of equations of motion can be used to describe polarized properties of the electromagnetic field

Additional details

Additional titles

Original title (Russian)
O novykh simmetriyakh i zakonakh sokhraneniya dlya ehlektromagnitnogo polya

Publishing Information

Imprint Title
Group theoretical methods in physics. V. 2
Journal Page Range
p. 421-428.
Report number
INIS-SU--343

Conference

Title
2. International seminar Group theoretical methods in physics.
Dates
24-26 Nov 1982.
Place
Zvenigorod (USSR).

INIS

Country of Publication
USSR
Country of Input or Organization
USSR
INIS RN
17060552
Subject category
S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
Resource subtype / Literary indicator
Conference
Descriptors DEI
CONFORMAL GROUPS; CONFORMAL INVARIANCE; CONSERVATION LAWS; ELECTROMAGNETIC FIELDS; INVARIANCE PRINCIPLES; MAXWELL EQUATIONS; POINCARE GROUPS; SYMMETRY
Descriptors DEC
DIFFERENTIAL EQUATIONS; EQUATIONS; LIE GROUPS; PARTIAL DIFFERENTIAL EQUATIONS; SYMMETRY GROUPS

Optional Information

Notes
Imprint:Teoretiko-gruppovye metody v fizike. Tom 2.;Trudy Mezhdunarodnogo seminara.