Regular KMS States of Weakly Coupled Anharmonic Crystals and the Resolvent CCR Algebra

Tomohiro Kanda, Taku Matsui

    Research output: Chapter in Book/Report/Conference proceedingChapter

    1 Citation (Scopus)

    Abstract

    We consider equilibrium states of weakly coupled anharmonic quantum oscillators(= anharmonic crystal) on an integer lattice Z. We employed standard functional analytic methods for Schrödinger operators and we show existence of the infinite volume limit of equilibrium states, and uniqueness of the regular KMS (Kubo–Martin–Schwinger) states in the frame of Resolvent CCR Algebra introduced by D. Buchholz and H. Grundling.

    Original languageEnglish
    Title of host publicationSpringer Optimization and Its Applications
    PublisherSpringer International Publishing
    Pages251-270
    Number of pages20
    DOIs
    Publication statusPublished - 2019

    Publication series

    NameSpringer Optimization and Its Applications
    Volume146
    ISSN (Print)1931-6828
    ISSN (Electronic)1931-6836

    All Science Journal Classification (ASJC) codes

    • Control and Optimization

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