### 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) |
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Pages (from-to) | 251-257 |

Number of pages | 7 |

Journal | Communications In Mathematical Physics |

Volume | 28 |

Issue number | 3 |

DOIs | |

State | Published - Sep 1 1972 |

### All Science Journal Classification (ASJC) codes

- Statistical and Nonlinear Physics
- Mathematical Physics

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## Cite this

Lieb, E. H., & Robinson, D. W. (1972). The finite group velocity of quantum spin systems.

*Communications In Mathematical Physics*,*28*(3), 251-257. https://doi.org/10.1007/BF01645779