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

Tomohiro Kanda () and Taku Matsui ()
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Tomohiro Kanda: Kyushu University
Taku Matsui: Kyushu University

A chapter in Analysis and Operator Theory, 2019, pp 251-270 from Springer

Abstract: Abstract We consider equilibrium states of weakly coupled anharmonic quantum oscillators(= anharmonic crystal) on an integer lattice $$\mathbf{Z}$$ 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.

Date: 2019
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Persistent link: https://EconPapers.repec.org/RePEc:spr:spochp:978-3-030-12661-2_12

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DOI: 10.1007/978-3-030-12661-2_12

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