SLATER DECOMPOSITION OF LAUGHLIN STATES

The second-quantized form of the Laughlin states for the fractional qu antum Hall effect is discussed by decomposing the Laughlin wavefunctio ns into the N-particle Slater basis. A general formula is given for th e expansion coefficients in terms of the characters of the symmetric g roup, and the expansion coefficients are shown to possess numerous int eresting symmetries. For expectation values of the density operator it is possible to identify individual dominant Slater states of the corr ect uniform bulk density and filling fraction in the physically releva nt N --> infinity limit.