Published February 1987
| Version v1
Journal article
Non-Hermitian operators, localization problem, and the conservation of fermion number
Description
The localization problem of relativistic particles is studied, considering that an elementary spin-1/2 particle of nonvanishing mass actually corresponds to an extended body. The role of non-Hermitian operators in describing such a system is discussed and it is pointed out that the localization of such a system is linked to the global conservation of fermion number given by the internal helicity of such a system. The localization region is then determined by means of imprimitivity systems for particular representations of the de Sitter group SO
Additional details
Publishing Information
- Journal Title
- Int. J. Theor. Phys.
- Journal Volume
- 26
- Journal Issue
- 2
- Series
- Int. J. Theor. Phys.
- Journal Page Range
- 131-139
- ISSN
- 0020-7748
- CODEN
- IJTPB
INIS
- Country of Publication
- United States
- Country of Input or Organization
- United States
- INIS RN
- 18086917
- Subject category
- S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
- Descriptors DEI
- CONSERVATION LAWS; DE SITTER GROUP; EXTENDED PARTICLE MODEL; FERMIONS; HEISENBERG PICTURE; HILBERT SPACE; IRREDUCIBLE REPRESENTATIONS; MASSLESS PARTICLES; POSITION OPERATORS; PROJECTION OPERATORS; QUANTUM FIELD THEORY; QUANTUM NUMBERS; RELATIVISTIC RANGE; SPACE-TIME; SPIN; TOPOLOGY
- Descriptors DEC
- ANGULAR MOMENTUM; BANACH SPACE; ELEMENTARY PARTICLES; ENERGY RANGE; FIELD THEORIES; LIE GROUPS; MATHEMATICAL MODELS; MATHEMATICAL OPERATORS; MATHEMATICAL SPACE; MATHEMATICS; PARTICLE MODELS; PARTICLE PROPERTIES; QUANTUM OPERATORS; SPACE; SYMMETRY GROUPS