Topological 2-Dimensional Quantum Mechanics

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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18 pages, Orsay Report IPNO/TH 92-101

Scientific paper

10.1016/0370-2693(93)90197-P

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

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