The finite group velocity of quantum spin systems

Elliott H. Lieb; Derek W. Robinson

doi:10.1007/BF01645779

The finite group velocity of quantum spin systems

Elliott H. Lieb, Derek W. Robinson

Mathematics

Research output: Contribution to journal › Article › peer-review

998 Scopus citations

Abstract

It is shown that if Φ is a finite range interaction of a quantum spin system, τ_t^Φ the associated group of time translations, τ_x the group of space translations, and A, B local observables, then {Mathematical expression} whenever v is sufficiently large (v>V_Φ) 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 language	English (US)
Pages (from-to)	251-257
Number of pages	7
Journal	Communications In Mathematical Physics
Volume	28
Issue number	3
DOIs	https://doi.org/10.1007/BF01645779
State	Published - Sep 1972

All Science Journal Classification (ASJC) codes

Statistical and Nonlinear Physics
Mathematical Physics

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10.1007/BF01645779

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title = "The finite group velocity of quantum spin systems",

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.",

author = "Lieb, {Elliott H.} and Robinson, {Derek W.}",

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AB - 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.

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The finite group velocity of quantum spin systems

Abstract

All Science Journal Classification (ASJC) codes

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