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Ground states of quantum spin systems

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Abstract

We prove that ground states of quantum spin systems are characterized by a principle of minimum local energy and that translationally invariant ground states are characterized by the principle of minimum energy per unit volume.

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Author notes

  1. Ola Bratteli

    Present address: Department of Mathematics, University of Oslo, Blindern, Oslo 3, Norway

  2. Akitaka Kishimoto

    Present address: Department of Mathematics, University of Ottawa, K1N 9B4, Ontario, Canada

Authors and Affiliations

  1. Centre de Physique Théorique II, CNRS, F-13288, Marseille Cedex 2, France

    Ola Bratteli, Akitaka Kishimoto & Derek W. Robinson

  2. Department of Mathematics, University of N.S.W., Sydney, Australia

    Derek W. Robinson

Authors
  1. Ola Bratteli
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  2. Akitaka Kishimoto
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  3. Derek W. Robinson
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Communicated by H. Araki

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Bratteli, O., Kishimoto, A. & Robinson, D.W. Ground states of quantum spin systems. Commun.Math. Phys. 64, 41–48 (1978). https://doi.org/10.1007/BF01940760

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  • DOI: https://doi.org/10.1007/BF01940760

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