Published March 21, 2003 | Version v1
Journal article

Large geometric phases and non-elementary monopoles

  • 1. Laboratoire de Physique Theorique et Modeles Statistiques, Bat 100, Universite de Paris-Sud, 91405 Orsay Cedex (France)
  • 2. Laboratoire de Mathematiques et de Physique Theorique (CNRS UMR 6083), Universite Francois Rabelais, avenue Monge, Parc de Grandmont, 37200 Tours (France)

Description

Degeneracies in the spectrum of an adiabatically transported quantum system are important to determine the geometrical phase factor, and may be interpreted as magnetic monopoles. We investigate the mechanism by which constraints acting on the system, related to local symmetries, can create arbitrarily large monopole charges. These charges are associated with different geometries of the degeneracy. An explicit method to compute the charge as well as several illustrative examples are given

Availability note (English)

Available online at http://stacks.iop.org/0305-4470/36/2847/a31114.pdf or at the Web site for the Journal of Physics. A, Mathematical and General (ISSN 1361-6447) http://www.iop.org/

Additional details

Identifiers

Publishing Information

Journal Title
Journal of Physics. A, Mathematical and General
Journal Volume
36
Journal Issue
11
Journal Page Range
p. 2847-2856
ISSN
0305-4470

INIS

Country of Publication
United Kingdom
Country of Input or Organization
International Atomic Energy Agency (IAEA)
INIS RN
34042254
Subject category
S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
Descriptors DEI
GEOMETRY; MATHEMATICAL MODELS; MONOPOLES; QUANTUM MECHANICS; SYMMETRY
Descriptors DEC
MATHEMATICS; MECHANICS