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New Exact Ground States for One-Dimensional Quantum Many-Body Systems

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Abstract

We consider one-dimensional quantum many-body systems with pair interactions in external fields and (re)investigate the conditions under which exact ground-state wave functions of product type can be found. Contrary to a claim in the literature that an exhaustive list of such systems is already known, we show that this list can still be enlarged considerably. In particular, we are able to calculate exact ground-state wave functions for a class of quantum many-body systems with Ax −2+Bx 2 interaction potentials and external potentials given by sixth-order polynomials.

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Authors and Affiliations

  1. Weierstraß-Institut für Angewandte Analysis und Stochastik, 10117, Berlin, Germany

    Thomas Koprucki

  2. Fachbereich 6-Theoretische Physik, Universität Paderborn, 33098, Paderborn, Germany

    Heinz-Jürgen Wagner

Authors
  1. Thomas Koprucki
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  2. Heinz-Jürgen Wagner
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Koprucki, T., Wagner, HJ. New Exact Ground States for One-Dimensional Quantum Many-Body Systems. Journal of Statistical Physics 100, 779–790 (2000). https://doi.org/10.1023/A:1018683727464

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  • DOI: https://doi.org/10.1023/A:1018683727464

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