  We study the universal long-distance behaviour of the Laughlin state for the
fractional quantum Hall effect and the ground state of the Calogero-Sutherland
model (one dimensional $1/r^2$ interaction model). In particular, it is shown
that these two wave functions coincide exactly when Laughlin state is confined
in a narrow cylinder geometry. The seeming difference of dimensionality is
merely a difference of representation of wave functions. We also give a recipe
to interpret operators acting on states in the lowest Landau level in terms of
the usual one dimensional Fermion operators, which is important for extracting
the Tomonaga-Luttinger liquid behaviour of the edge states.
