The Hubbard Model: Its Physics and Mathematical Physics

Hardcover | November 30, 1995

EditorDionys Baeriswyl, David K. Campbell, Jose M.P. Carmelo

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The October 1993 NATO ARW wove together two often distinct historical strands: the rigorous analytical solutions of mathematical physics and the approximate approaches commonly used in modeling solid state materials. The proceedings are divided into sections on solvable models, rigorous results, and advances in formalism; infinite in all directions--large coupling, high dimensions, and many components; Fermi liquid versus Luttinger liquid; perturbative, mean field, variational, and numerical studies; and experiments and physical applications. Annotation c. by Book News, Inc., Portland, Or.

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The October 1993 NATO ARW wove together two often distinct historical strands: the rigorous analytical solutions of mathematical physics and the approximate approaches commonly used in modeling solid state materials. The proceedings are divided into sections on solvable models, rigorous results, and advances in formalism; infinite in a...

Format:HardcoverDimensions:420 pages, 10 × 7.01 × 0.03 inPublished:November 30, 1995Publisher:Springer US

The following ISBNs are associated with this title:

ISBN - 10:0306450038

ISBN - 13:9780306450037

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Table of Contents

Introduction. Solvable Models, Rigorous Results, and Advances in Formalism: The Hubbard Model: Some Rigorous Results and Open Problems; E.H. Lieb. On the Bethe Ansatz Soluble Degenerate Hubbard Model; H. Frahm, A. Schadschneider. Infinite in all Dimensions: Large Coupling, High Dimensions, Many Components: The Mott Transition in Infinite Dimensions: Old Ideas and Some Surprises; G. KIotliar, M.J. Rozenberg. The Hubbard Model with Infinite Interaction: Magnetic Properties; V.Ya. Krivnov, et al. Fermi Liquid versus Luttinger Liquid: Two Particle Scattering and Orthogonality Catastrophe in the Hubbard Model; W. Metzner. Conservation Laws in Normal Metals: Luttinger Liquid vs. Fermi Liquid C. Di Castro, et al. Perturbative, Mean Field, Variational, and Numerical Studies: Hartree-Fock and RPA Studies of the Hubbard Model; G. Guinea, et al. The Wavefunction Renormalization Constant for the One- and Two-band Hubbard Hamiltonians in Two Dimensions; E. Louis, et al. Experiments and Physical Applications: Electron Spectroscopy and Hubbard: Issues and Opportunities; J.W. Allen, et al. On Electrical Properties of Chalcogenide Glassy Semiconductors in the Framework of Hubbard Model with Negative Correlation Energy; S.D. Savransky. 34 additional articles. Index.