Symplectic quantization of open strings in constant background B-field

The symplectic quantization (Faddeev-Jackiw) method is reviewed briefly, and then it is applied to the open strings in the D-brane background with a non-vanishing constant B-field. We shall work in the discrete version, and the reduced phase space is obtained directly by solving the mixed boundary conditions. The non-commutativity of coordinates along the D-brane is reproduced. Some ambiguities in the previous papers could be avoided by this method. (orig.)