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19 April 2024

» arxiv » quant-ph/9811083

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Equivalence of Local and Separable Realizations of the Discontinuity-Inducing Contact Interaction and Its Perturbative Renormalizability
Taksu Cheon ; T. Shigehara ; K. Takayanagi ;
Date:	1 Dec 1998
Journal:	J.Phys.Soc.Jap. 69 (2000) 345
Subject:	Quantum Physics; Exactly Solvable and Integrable Systems \| quant-ph cond-mat nlin.SI nucl-th solv-int
Affiliation:	Kochi Tech), T. Shigehara (Saitama U) and K. Takayanagi (Sophia U
Abstract:	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
Source:	arXiv, quant-ph/9811083
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