Monte Carlo simulations of an off-lattice bead spring model of polymer
chains are presented, confining the chains between two repulsive para
llel planes a distance D apart. Varying the chain length N from N = 16
to N = 128, we show that under good solvent conditions the chains beh
ave like two-dimensional self-avoiding walks, their mean square gyrati
on radius scales as (R(g)(2)) proportional to N-2 upsilon with upsilon
= 3/4. The density profile across the slit is independent of N and ma
ximal in the center of the slit. The dynamical properties of the chain
s are found to be in full agreement with the Rouse model with excluded
volume in d = 2 dimensions, the relaxation times vary like tau propor
tional to N-2 with z = 2 upsilon + 1 = 5/2, the diffusion constant sti
ll being given by D-N proportional to 1/N. The dynamical behavior of v
arious mean square displacements is analyzed in detail.