Topological 2-Dimensional Quantum Mechanics
High Energy Physics - Theory
2009-10-22 v2
Abstract
We define a Chern- Simons Lagrangian for a system of planar particles topologically interacting at a distance. The anyon model appears as 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 curved manifolds. PACS numbers: 05.30.-d, 11.10.-z
Cite
@article{arxiv.hep-th/9301078,
title = {Topological 2-Dimensional Quantum Mechanics},
author = {Alain Dasnieres de Veigy and Stephane Ouvry},
journal= {arXiv preprint arXiv:hep-th/9301078},
year = {2009}
}
Comments
18 pages, Orsay Report IPNO/TH 92-101