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arxiv: quant-ph/9811083 · v1 · pith:WHMIQ4UInew · submitted 1998-12-01 · 🪐 quant-ph · cond-mat· nlin.SI· nucl-th· solv-int

Equivalence of Local and Separable Realizations of the Discontinuity-Inducing Contact Interaction and Its Perturbative Renormalizability

Taksu Cheon (Kochi Tech) , T. Shigehara (Saitama U) , K. Takayanagi (Sophia U) This is my paper
classification 🪐 quant-ph cond-matnlin.SInucl-thsolv-int
keywords interactionperturbativecontactdiscontinuity-inducinglocalone-dimensionalrenormalizationseparable
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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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