Conformal symmetry and constants of motion

Journal Article · Wed May 01 04:00:00 EDT 1985 · J. Math. Phys. (N.Y.); (United States)

DOI:https://doi.org/10.1063/1.526540· OSTI ID:6054986

Hussin, V; Sinzinkayo, S

Conformal space-time symmetries of electromagnetic fields and potentials are studied in order to determine whole sets of constants of motion when spin- 1/2 charged particles interact with such external electromagnetic fields. The relativistic and nonrelativistic contexts are discussed through the Hamiltonian formalism. In particular, the interesting example of the magnetic monopole field is recovered and related to the recent works of Jackiw and D'Hoker--Vinet.

• Research Organization: Universite de Liege, Physique Theorique et Mathematique, Institut de Physique au Sart Tilman, Batiment B5, B-4000 Liege 1, Belgium
• OSTI ID: 6054986
• Journal Information: J. Math. Phys. (N.Y.); (United States), Journal Name: J. Math. Phys. (N.Y.); (United States) Vol. 26:5; ISSN JMAPA
• Country of Publication: United States
• Language: English

Related Subjects

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72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ALGEBRA
ANGULAR MOMENTUM
BASIC INTERACTIONS
CHARGED PARTICLES
COMMUTATORS
DIFFERENTIAL EQUATIONS
ELECTROMAGNETIC FIELDS
ELECTROMAGNETIC INTERACTIONS
ELEMENTARY PARTICLES
EQUATIONS
EQUATIONS OF MOTION
FIELD THEORIES
FUNCTIONS
GALILEI TRANSFORMATIONS
GENERAL RELATIVITY THEORY
GROUP THEORY
HAMILTONIAN FUNCTION
INTERACTIONS
INVARIANCE PRINCIPLES
LIE GROUPS
LORENTZ TRANSFORMATIONS
MAGNETIC MONOPOLES
MATHEMATICAL OPERATORS
MATHEMATICS
MONOPOLES
MOTION
PARTIAL DIFFERENTIAL EQUATIONS
PARTICLE PROPERTIES
POSTULATED PARTICLES
POTENTIALS
QUANTUM OPERATORS
RELATIVITY THEORY
SO GROUPS
SPACE-TIME
SPIN
SUPERSYMMETRY
SYMMETRY
SYMMETRY GROUPS
TRANSFORMATIONS