Topological 2-Dimensional Quantum Mechanics
arXiv:hep-th/9301078 · doi:10.1016/0370-2693(93)90197-P
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
18 pages, Orsay Report IPNO/TH 92-101
References in corpus (2)
Cited by in corpus (12)
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- Statistical mechanics and thermodynamics for multispecies exclusion statistics
- Anyonic Partition Functions and Windings of Planar Brownian Motion
- Scattering From a Two Dimensional Array of Flux Tubes: A Study of The Validity of Mean Field Theory
- Perturbative Analysis of Chern-Simons Field Theory in the Coulomb Gauge
- Virial Coefficients of Multispecies Anyons
- Anyonic quasiparticles of hardcore anyons
- Topologically Nontrivial Sectors of the Maxwell Field Theory on Algebraic Curves