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arXiv math-ph/0411042math-phmath.MP
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非相互作用量子晶格系统弱微扰中的准粒子

Quasi-particles in weak perturbations of non-interacting quantum lattice systems

D. A. Yarotsky

摘要:

考虑了具有非简并带隙基态的非相互作用量子晶格系统的一般弱微扰。我们证明了解耦模型谱中孤立本征值的存在导致扰动模型中准粒子的存在。此外,还发展了渐近自由多粒子态的散射理论。

英文摘要:

We consider a general weak perturbation of a non-interacting quantum lattice system with a non-degenerate gapped ground state. We prove that the presence of isolated eigenvalues in the spectrum of the decoupled model leads to the existence of quasi-particles in the perturbed model. Also, a scattering theory for asymptotically free many-particle states is developed.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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