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

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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