Ideal Anyons
St\'ephane OUVRY, Division de Physique Th\'eorique, IPN, Orsay, Fr-91406
TL;DR
This paper provides a comprehensive overview of the theoretical models and exact results related to anyons, including their mathematical formulations and methods for analyzing their properties in quantum physics.
Contribution
It offers a detailed review of the anyon model, including various formulations and approaches for obtaining additional insights beyond existing results.
Findings
Review of braid group, Chern-Simons, and Aharonov-Bohm formulations
Discussion of mean field, perturbation, and Landau level projection methods
Compilation of exact results related to anyons
Abstract
A general introduction to the anyon model (braid group, Chern-Simons Lagrangian and Aharonov-Bohm Hamiltonian formulations) is given. A review follows on exact results and possible ways of getting additional information, as mean field approach, perturbation theory, and projection on the lowest Landau level of an external magnetic field. To be published in Mesoscopic Quantum Physics - Les Houches, Session LXI, 1994 - E. Akkermans, G. Montambaux and J.-L. Pichard, eds. - North- Holland, Amsterdam.
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Taxonomy
TopicsSpectral Theory in Mathematical Physics · Quantum and electron transport phenomena · Quantum many-body systems