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Bounds on One-Dimensional Exchange Energies with Application to Lowest Landau Band Quantum Mechanics

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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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Hainzl, C., Seiringer, R. Bounds on One-Dimensional Exchange Energies with Application to Lowest Landau Band Quantum Mechanics. Letters in Mathematical Physics 55, 133–142 (2001). https://doi.org/10.1023/A:1010951905548

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