ON THE SPECTRAL PROBLEM FOR ANYONS

Authors
BAKER GA CANRIGHT GS MULAY SB SUNDBERG C
Citation
Ga. Baker et al., ON THE SPECTRAL PROBLEM FOR ANYONS, Communications in Mathematical Physics, 153(2), 1993, pp. 277-295
Citations number
22
Categorie Soggetti
Mathematical Method, Physical Science","Physycs, Mathematical
Journal title
Communications in Mathematical Physics → ACNP
ISSN journal
00103616
Volume
153
Issue
2
Year of publication
1993
Pages
277 - 295
Database
ISI
SICI code
0010-3616(1993)153:2<277:OTSPFA>2.0.ZU;2-5
Abstract
We consider the spectral problem resulting from the Schrodinger equati on for a quantum system of n greater-than-or-equal-to 2 indistinguisha ble, spinless, hard-core particles on a domain in two dimensional Eucl idian space. For particles obeying fractional statistics, and interact ing via a repulsive hard core potential, we provide a rigorous framewo rk for analysing the spectral problem with its multi-valued wave funct ions.