Kh. Cho et C. Rim, ABELIAN CHERN-SIMONS FIELD-THEORY AND ANYON EQUATION ON A CYLINDER, Journal of the Korean Physical Society, 27(5), 1994, pp. 461-468
By obtaining the effective Hamiltonian through the canonical transform
ation method used for the theory on a plane and on a torus, we present
the anyon equation on a cylinder and inside an infinite potential wal
l from the abelian Chern-Simons theory coupled to a non-relativistic m
atter field. We also give the periodic property of the theory on the c
ylinder.