Markov semigroups which describe the time evolution of some higher spin quantum models

Research output: Contribution to journalArticle

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Abstract

We consider perturbation of spin’s ferromagnetic Heisenberg models in infinite volume ground state representations. Imaginary time evolution gives rise to a Markov semigroup on a configuration space of the classical spin system. We establish a correspondence of reversible measures for Markov semigroups and ground states of quantum systems on the same dimensional lattice.

Original languageEnglish
Pages (from-to)179-198
Number of pages20
JournalJournal of Functional Analysis
Volume116
Issue number1
DOIs
Publication statusPublished - Aug 15 1993
Externally publishedYes

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Markov Semigroups
Ground State
Heisenberg Model
Spin Systems
Configuration Space
Quantum Systems
Correspondence
Perturbation
Model

All Science Journal Classification (ASJC) codes

  • Analysis

Cite this

Markov semigroups which describe the time evolution of some higher spin quantum models. / Matsui, Taku.

In: Journal of Functional Analysis, Vol. 116, No. 1, 15.08.1993, p. 179-198.

Research output: Contribution to journalArticle

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