The Analytic Lanczos Method

Details The Analytic Lanczos Method The Analytic Lanczos Method

1997-12-24

arxiv.org/abs/cond-mat/9712283v1

Physics

Condensed Matter

Statistical Mechanics

6 pages, Latex2.09 + World Scientific mprocl.sty to appear in Proceedings of the Ninth International Conference on Recent Prog

Scientific paper

The classical formalism of the Moment Problem has been combined with a cumulant approach and applied to the extensive many-body problem. This has yielded many new exact results for many-body systems in the thermodynamic limit - for the ground state energy, for excited state gaps, and for arbitrary ground state averages. The method applies to any extensive Hamiltonian system, for any phase or symmetry arising in the model, whether on a lattice or in the continuum, and for any dimensionality. The theorems are of a nonperturbative nature with respect to any couplings occuring in the model.

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