This article reports on our microscopic investigations of the edge of the f
ractional quantum Hall state at filling factor nu = 1/3. We show that the i
nteraction dependence of the wave function is well described in an approxim
ation that includes mixing with higher composite-fermion Landau levels in t
he lowest order. We then proceed to calculate the equal time edge Green fun
ction, which provides evidence that the Luttinger exponent characterizing t
he decay of the Green function at long distances is interaction dependent.
The relevance of this result to tunneling experiments is discussed. (C) 200
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