Infinite Volume Extrapolations of Finite Cluster Calculations, ---How Correct are These?

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Extrapolations of numerical data obtained from finite cluster calculations to the infinite volume limit can often give incorrect results. We discuss four separate cases: (a) the intensity of the lowest two-photon absorption in the infinite polyene, (b) bond alternation in the infinite polyene, (c) Cooper type pairing in the simple Hubbard model, and (d) pairing within the extended Hubbard model.
13 pages, in TeX, 9 figures (available upon request from the authors: sumit@roton.physics.arizona.edu). To appear in the Proceedings of the Discussion Meeting on Strongly Correlated Systems in Chemistry, Bangalore, India, 4-8 January 1993

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