dorsal/arxiv
View SchemaEquivalence of Local and Separable Realizations of the Discontinuity-Inducing Contact Interaction and Its Perturbative Renormalizability
| Authors | Taksu Cheon, T. Shigehara, K. Takayanagi |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9811083 |
| URL | https://arxiv.org/abs/quant-ph/9811083 |
| DOI | 10.1143/JPSJ.69.345 |
| Journal | J.Phys.Soc.Jap.69:345-350,2000 |
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
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"abstract": "We prove that the separable and local approximations of the\ndiscontinuity-inducing zero-range interaction in one-dimensional quantum\nmechanics are equivalent. We further show that the interaction allows the\nperturbative treatment through the coupling renormalization.\n Keywords: one-dimensional system, generalized contact interaction,\nrenormalization, perturbative expansion. PACS Nos: 3.65.-w, 11.10.Gh, 31.15.Md",
"arxiv_id": "quant-ph/9811083",
"authors": [
"Taksu Cheon",
"T. Shigehara",
"K. Takayanagi"
],
"categories": [
"quant-ph",
"cond-mat",
"nlin.SI",
"nucl-th",
"solv-int"
],
"doi": "10.1143/JPSJ.69.345",
"journal_ref": "J.Phys.Soc.Jap.69:345-350,2000",
"title": "Equivalence of Local and Separable Realizations of the Discontinuity-Inducing Contact Interaction and Its Perturbative Renormalizability",
"url": "https://arxiv.org/abs/quant-ph/9811083"
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