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

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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

All Science Journal Classification (ASJC) codes

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