Pointwise bounds on eigenfunctions and wave packets inN-body quantum systems IV |
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| Authors: | P Deift W Hunziker B Simon E Vock |
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| Institution: | (1) Department of Mathematics, University of British Columbia, Vancouver, B.C., Canada;(2) Departments of Mathematics and Physics, Princeton University, 08540 Princeton, NJ, USA;(3) Present address: Institute des Hautes Études Scientifiques, 35, Route de Chartres, F-91440 Buressur-Yvette, France |
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| Abstract: | We systematize the study of reflection positivity in statistical mechanical models, and thereby two techniques in the theory of phase transitions: the method ofinfrared bounds and the chessboard method of estimating contour probabilities in Peierls arguments. We illustrate the ideas by applying them to models with long range interactions in one and two dimensions. Additional applications are discussed in a second paper.Research partially supported by US National Science Foundation under Grant MPS-75-11864Research partially supported by Canadian National Research Council under Grant A4015Research partially supported by US National Science Foundation under Grant MCS-75-21684-A01 |
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