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Anyons and intermediate statistics

Technical Report:

Abstract

Intermediate or fractional statistics appear as theoretical possibilities when quantizing systems of identical particles in one and two dimensions. In the report these possibilities are reviewed, and basic properties of two-dimensional anyon systems are discussed. An alternative approach based on the representation of a fundamental set of symmetric observables is examined. The approach is related to effects in physical systems, in particular for vortex dynamics and particle motion in magnetic fields. Reformulations in terms of singular ``statistics interactions`` are discussed for the two approaches and the connection between Berry phases and statistics phases is examined. 43 refs.
Authors:
Publication Date:
Oct 01, 1992
Product Type:
Technical Report
Report Number:
OUP-92-36
Reference Number:
SCA: 662120; 665430; PA: AIX-24:008270; SN: 93000932961
Resource Relation:
Other Information: PBD: Oct 1992
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; 75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY; ANYONS; STATISTICAL MECHANICS; GRADED LIE GROUPS; QUANTIZATION; QUANTUM MECHANICS; SYMMETRY; TWO-BODY PROBLEM; VORTEX FLOW; 662120; 665430; SYMMETRY, CONSERVATION LAWS, CURRENTS AND THEIR PROPERTIES; OTHER TOPICS IN QUANTUM FLUIDS AND SOLIDS
OSTI ID:
10119591
Research Organizations:
Oslo Univ. (Norway). Fysisk Inst.
Country of Origin:
Norway
Language:
English
Other Identifying Numbers:
Journal ID: ISSN 0332-5571; Other: ON: DE93613099; TRN: NO9200090008270
Availability:
OSTI; NTIS; INIS
Submitting Site:
NWN
Size:
[31] p.
Announcement Date:
Jun 30, 2005

Technical Report:

Citation Formats

Leinaas, J M. Anyons and intermediate statistics. Norway: N. p., 1992. Web.
Leinaas, J M. Anyons and intermediate statistics. Norway.
Leinaas, J M. 1992. "Anyons and intermediate statistics." Norway.
@misc{etde_10119591,
title = {Anyons and intermediate statistics}
author = {Leinaas, J M}
abstractNote = {Intermediate or fractional statistics appear as theoretical possibilities when quantizing systems of identical particles in one and two dimensions. In the report these possibilities are reviewed, and basic properties of two-dimensional anyon systems are discussed. An alternative approach based on the representation of a fundamental set of symmetric observables is examined. The approach is related to effects in physical systems, in particular for vortex dynamics and particle motion in magnetic fields. Reformulations in terms of singular ``statistics interactions`` are discussed for the two approaches and the connection between Berry phases and statistics phases is examined. 43 refs.}
place = {Norway}
year = {1992}
month = {Oct}
}