TOPOLOGICAL 2-DIMENSIONAL QUANTUM-MECHANICS

Citation
Ad. Deveigy et S. Ouvry, TOPOLOGICAL 2-DIMENSIONAL QUANTUM-MECHANICS, Physics letters. Section B, 307(1-2), 1993, pp. 91-99
Citations number
51
Categorie Soggetti
Physics
Journal title
ISSN journal
03702693
Volume
307
Issue
1-2
Year of publication
1993
Pages
91 - 99
Database
ISI
SICI code
0370-2693(1993)307:1-2<91:T2Q>2.0.ZU;2-V
Abstract
We define a Chern-Simons lagrangian for a system of planar particles t opologically interacting at a distance. The anyon model is recovered a s a particular case where all the particles are identical. We propose exact N-body eigenstates, set up a perturbative algorithm, discuss the case where some particles are fixed on a lattice, and also consider c urved manifolds.