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Standard bosonization techniques lead to phonon-like excitations in aLuttinger liquid (LL), reflecting the absence of Landau quasiparticles in thesesystems. Yet in addition to the above excitations some LL are known to possesssolitonic states carrying fractional quantum numbers (e.g. the spin 1/2Heisenberg chain). We have reconsidered the zero modes in the low-energyspectrum of the gaussian boson LL hamiltonian both for fermionic and bosonicLL: in the spinless case we find that two elementary excitations carryingfractional quantum numbers allow to generate all the charge and current excitedstates of the LL. We explicitly compute the wavefunctions of these two objectsand show that one of them can be identified with the 1D version of the Laughlinquasiparticle introduced in the context of the Fractional Quantum Hall effect.For bosons, the other quasiparticle corresponds to a spinon excitation. Theeigenfunctions of Wen's chiral LL hamiltonian are also derived: they are quitesimply the one dimensional restrictions of the 2D bulk Laughlin wavefunctions.Comment: 5 pages; accepted for publication in EPR B, Rapid Note

to -12pt [-12pt]to 16ptRapid Note Wavefunctions for the Luttinger liquid