摘要: In Chap. 4 we already discussed some applications of Lieb-Robinson bounds. Here will discuss two more recent developments: scattering theory for quantum spin systems and automorphic equivalence gapped ground states. The first topic is again a confirmation that the velocity to what speed light relativistic systems. Indeed, outline how one can build up along lines Haag-Ruelle in algebraic field theory. bound here key construct incoming outgoing particle states: it allows us localise operators create single-particle states from state. We then choose such creation particles with different velocities. If | t becomes large, excitations be far apart each other, which made precise using localisation operators. This implies single-particles do not interact at large times, so they behave as free particles. Besides providing yet another application bounds, also nicely illustrates SNAG theorem, Sect. 5.1, used
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