Abelian Chern-Simons field theory and anyon equation on a cylinder
نویسنده
چکیده
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.
منابع مشابه
Abelian Chern-Simons field theory and the anyon equation on a torus.
We quantize the abelian Chern-Simons theory coupled to non-relativistic matter field on a torus without invoking the flux quantization. Through a series of canonical transformations which is equivalent to solving the Gauss constraint, we obtain an effective hamiltonian density with periodic matter field. We also obtain the many-anyon Schrödinger equation with periodic Aharonov-Bohm potentials a...
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