%0 Journal Article %T Bounds on one-dimensional exchange energies with application to lowest Landau band quantum mechanics %A Christian Hainzl %A Robert Seiringer %J Physics %D 2001 %I arXiv %X 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. %U http://arxiv.org/abs/cond-mat/0102118v1