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We numerically study the magnetization and the dispersion relation of afrustrated quantum spin system. Our method, which is named the stochastic stateselection method, is a kind of Monte Carlo method to give eigenstates of thesystem through statistical averaging processes.  Using the stochastic state selection method with some constraints, we make asuccessful study of the spin-1/2 Heisenberg antiferromagnet on a 48-sitetriangular lattice. We calculate the sublattice magnetization and the staticstructure function in the ground state. Our result on the sublatticemagnetization is consistent with the value given by the linear spin wavetheory. This adds an evidence for the analysis based on the spontaneoussymmetry breaking of the semi-classical Neel order in the ground state.  We also evaluate the low-lying one magnon spectra of the model with all wavevectors available on a 48-site triangular lattice. We find that at the orderingwave vector there is a Goldstone mode, which is in good agreement with theresult from the spin wave analysis. The magnon spectra with other wave vectors,however, are quite different from results obtained by the linear spin wavetheory. We observe a flat dispersion relation with a strong downwardrenormalization. Our results are compatible with those recently reported in theseries expansion study and in the order 1/S calculation of the spin waveanalysis.

Numerical study of the spin-1/2 Heisenberg antiferromagnet on a 48-site triangular lattice