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Unitary equivalence of Fock representations on the Weyl algebra

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Abstract

A necessary and sufficient condition for unitary equivalence of pure quasifree states over the Weyl algebra is proved. Some partial results on states over the Weyl algebra are formulated in Theorem 1, and Lemmas 1, 4, 5 and 6.

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Authors and Affiliations

  1. Instituut voor Theoretische Fysika, Department Natuurkunde, Universiteit Leuven, Leuven, Belgium

    A. Van Daele (Aspirant) & A. Verbeure

  2. N.F.W.O., Belgium

    A. Van Daele (Aspirant)

Authors
  1. A. Van Daele
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  2. A. Verbeure
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Van Daele, A., Verbeure, A. Unitary equivalence of Fock representations on the Weyl algebra. Commun.Math. Phys. 20, 268–278 (1971). https://doi.org/10.1007/BF01646623

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  • DOI: https://doi.org/10.1007/BF01646623

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