Clifford Algebras and magnetic monopoles
Description
It is known that the introduction of magnetic monopolies in electromagnetism does still present formal problems from the point of view of classical field theory. The author attempts to overcome at least some of them by making recourse to the Clifford Algebra formalism. In fact, while the events of a two-dimensional Minkowski space-time M(1,1) are sufficiently well represented by ordinary Complex Numbers, when dealing with the events of the four-dimensional Minkowski space M(1,3)identical to M/sub 4/ one has of course to look for hypercomplex numbers or, more generally, for the elements of a Clifford Algebra. The author uses the Clifford Algebras in terms of ''multivectors'', and in particular by Hestenes' language, which suits space-time quite well. He recalls that the Clifford product chiγ is the sum of the internal product chi . γ and of the wedge product chiΛγ
Additional details
Publishing Information
- Publisher
- World Scientific Pub. Co.
- Imprint Place
- Teaneck, NJ (USA)
- ISBN
- 9971-50-257-7
- Imprint Title
- Proceedings of the 7th Italian conference on general relativity and gravitational physics
- Journal Page Range
- p. 315-321.
Conference
- Title
- 7. Italian conference on general relativity and gravitational physics.
- Dates
- 3-6 Sep 1986.
- Place
- Rapallo (Italy).
INIS
- Country of Publication
- United States
- Country of Input or Organization
- United States
- INIS RN
- 19019770
- Subject category
- S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
- Resource subtype / Literary indicator
- Conference
- Descriptors DEI
- CLIFFORD ALGEBRA; COMPLEX MANIFOLDS; DIRAC OPERATORS; ELECTROMAGNETISM; FIELD THEORIES; MAGNETIC MONOPOLES; MANY-DIMENSIONAL CALCULATIONS; MINKOWSKI SPACE; PAULI SPIN OPERATORS; QUANTUM FIELD THEORY; SPACE-TIME; VECTORS
- Descriptors DEC
- ANGULAR MOMENTUM OPERATORS; ELEMENTARY PARTICLES; MAGNETISM; MATHEMATICAL MANIFOLDS; MATHEMATICAL OPERATORS; MATHEMATICAL SPACE; MONOPOLES; POSTULATED PARTICLES; QUANTUM OPERATORS; SPACE; TENSORS