WIAS Preprint No. 545, (2000)

New exact ground states for one-dimensional quantum many-body systems


  • Koprucki, Thomas
    ORCID: 0000-0001-6235-9412
  • Wagner, Heinz-Jürgen

2010 Mathematics Subject Classification

  • 81Q05 81V70


  • ground state, wave functions of product type, Calogero-Sutherland systems




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 + Bx2 interaction potentials and external potentials given by sixth-order polynomials.

Appeared in

  • Journal of Statistical Physics 100 (2000), pp. 779-790

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