It is shown that if Φ is a finite range interaction of a quantum spin system, τf the associated group of time translations, τ x the group of space translations, and A, B local observables, then lim ||[τ?τ 3e (A),B]||e" (l ' )t =0 \*\>v\t\ whenever v is sufficiently large (v > V φ ) where μ(υ) > 0. The physical content of the statement is that information can propagate in the system only with a finite group velocity.
Softcover reprint ofthe hardcover 2nd edition 1987 The use of general descriptive names, registered names, trademarks, etc. in this publication does not imply, even in the absence of a speeific statement, that such names are exempt from the relevant probreak tective laws and regulations and therefore free for general use.
It is shown that if Φ is a finite range interaction of a quantum spin system, τf the associated group of time translations, τ x the group of space translations, and A, B local observables, then lim ||[τ?τ 3e (A),B]||e" (l ' )t =0 \*\>v\t\ whenever v is sufficiently large (v > V φ ) where μ(υ) > 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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