Bounds on one-dimensional exchange energies with application to lowest Landau band quantum mechanics

2001/02/07 by Christian Hainzl, Robert Seiringer
Physics and Astronomy · Mathematics · #cond-mat #math-ph #math.MP

paper · pdf

published as Lett. Math. Phys. 55, 133 (2001) · LaTex2e, 9 pages

arxiv created 2001/02/07 · arxiv updated 2009/11/30

Abstract

By means of a generalization of the Fefferman-de la Llave decomposition we derive a general lower bound on the interaction energy of one-dimensional quantum systems. We apply this result to a specific class of lowest Landau band wave functions.

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