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Addendum and Corrigendum to “Euclidean Gibbs Measures of Interacting Quantum Anharmonic Oscillators”

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Abstract

A generalization of Theorem 3.14 in [Euclidean Gibbs measures of interacting quantum anharmonic oscillators. J. Stat. Phys. 127:985–1047 (2007)] is given. It describes the uniqueness of Euclidean Gibbs measures of a system of quantum anharmonic oscillators in an external field. We also discuss in more detail the applicability of the Lee-Yang theorem in the theory of such systems, which includes a correction of Lemma 8.4.

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Authors and Affiliations

  1. Instytut Matematyki, Uniwersytet Marii Curie-Skłodowskiej, 20-031, Lublin, Poland

    Yuri Kozitsky

  2. Fakultät für Mathematik und Forschungszentrum BiBoS, Universität Bielefeld, 33615, Bielefeld, Germany

    Tatiana Pasurek

Authors
  1. Yuri Kozitsky
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  2. Tatiana Pasurek
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Correspondence to Yuri Kozitsky.

Additional information

Supported by the DFG under the Project 436 POL 113/115/0-1.

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Kozitsky, Y., Pasurek, T. Addendum and Corrigendum to “Euclidean Gibbs Measures of Interacting Quantum Anharmonic Oscillators”. J Stat Phys 132, 755–757 (2008). https://doi.org/10.1007/s10955-008-9531-1

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  • DOI: https://doi.org/10.1007/s10955-008-9531-1

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