不连续诱导接触相互作用局部实现与可分离实现的等价性及其微扰重整化
Equivalence of Local and Separable Realizations of the Discontinuity-Inducing Contact Interaction and Its Perturbative Renormalizability
摘要：
证明了一维量子力学中不连续诱导零程相互作用的可分近似和局域近似是等价的。我们进一步表明，相互作用允许通过耦合重整化的微扰处理。关键词：一维系统，广义接触作用，重整化，微扰展开。PACS编号：3.65.- w，11.10.Gh，31.15.Md
英文摘要：
We prove that the separable and local approximations of the discontinuity-inducing zero-range interaction in one-dimensional quantum mechanics are equivalent. We further show that the interaction allows the perturbative treatment through the coupling renormalization. Keywords: one-dimensional system, generalized contact interaction, renormalization, perturbative expansion. PACS Nos: 3.65.-w, 11.10.Gh, 31.15.Md
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