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On perturbation theory for distance dependent statistics.

Abstract

It is known that perturbation theory for anyons has to be modified near Bose statistics in order to get correct finite results. For ``distance dependent statistics`` or anyons with smeared flux tubes, perturbation theory is in principle applicable directly but gives results which hold for too small values of the statistical parameter and, in particular, are not valid as the flux tube radius tends to zero. In this paper we discuss the way to modify perturbation theory for this situation, which allows to obtain the appropriate results. (author). 6 refs.
Authors:
Publication Date:
Dec 31, 1994
Product Type:
Technical Report
Report Number:
ITP-94-36E
Reference Number:
SCA: 661300; PA: AIX-26:051130; EDB-95:087531; ERA-20:019899; NTS-96:001187; SN: 95001406662
Resource Relation:
Other Information: PBD: 1994
Subject:
66 PHYSICS; TWO-BODY PROBLEM; ANYONS; PERTURBATION THEORY; BOSE-EINSTEIN STATISTICS; GROUND STATES; HAMILTONIANS; INTERACTION RANGE; MAGNETIC FLUX; WAVE FUNCTIONS
OSTI ID:
58900
Research Organizations:
Akademyiya Nauk Ukrayini, Kiev (Ukraine). Yinstitut Teoretichnoyi Fyiziki
Country of Origin:
Ukraine
Language:
English
Other Identifying Numbers:
Other: ON: DE95630130; TRN: UA9500240051130
Availability:
INIS; OSTI as DE95630130
Submitting Site:
INIS
Size:
12 p.
Announcement Date:
Jun 30, 1995

Citation Formats

Mashkevich, S V. On perturbation theory for distance dependent statistics.. Ukraine: N. p., 1994. Web.
Mashkevich, S V. On perturbation theory for distance dependent statistics.. Ukraine.
Mashkevich, S V. 1994. "On perturbation theory for distance dependent statistics." Ukraine.
@misc{etde_58900,
title = {On perturbation theory for distance dependent statistics.}
author = {Mashkevich, S V}
abstractNote = {It is known that perturbation theory for anyons has to be modified near Bose statistics in order to get correct finite results. For ``distance dependent statistics`` or anyons with smeared flux tubes, perturbation theory is in principle applicable directly but gives results which hold for too small values of the statistical parameter and, in particular, are not valid as the flux tube radius tends to zero. In this paper we discuss the way to modify perturbation theory for this situation, which allows to obtain the appropriate results. (author). 6 refs.}
place = {Ukraine}
year = {1994}
month = {Dec}
}