Abelian Chern-Simons field theory and anyon equation on a cylinder

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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20pages, REVTEX

Scientific paper

We present the anyon equation on a cylinder and in an infinite potential wall
from the abelian Chern-Simons theory coupled to non-relativistic matter field
by obtaining the effective hamiltonian through the canonical transformation
method used for the theory on a plane and on a torus. We also give the periodic
property of the theory on the cylinder.

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