The finite group velocity of quantum spin systems

Elliott H. Lieb, Derek W. Robinson

Research output: Contribution to journalArticle

628 Scopus citations

Abstract

It is shown that if Φ is a finite range interaction of a quantum spin system, τtΦ the associated group of time translations, τx the group of space translations, and A, B local observables, then {Mathematical expression} whenever v is sufficiently large (v>VΦ) where μ(v)>0. The physical content of the statement is that information can propagate in the system only with a finite group velocity.

Original languageEnglish (US)
Pages (from-to)251-257
Number of pages7
JournalCommunications In Mathematical Physics
Volume28
Issue number3
DOIs
StatePublished - Sep 1 1972

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Mathematical Physics

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