dorsal/arxiv
View SchemaGeneralized One-Dimensional Point Interaction in Relativistic and Non-relativistic Quantum Mechanics
| Authors | T. Shigehara, H. Mizoguchi, T. Mishima, Taksu Cheon |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9911059 |
| URL | https://arxiv.org/abs/quant-ph/9911059 |
Abstract
We first give the solution for the local approximation of a four parameter family of generalized one-dimensional point interactions within the framework of non-relativistic model with three neighboring $\delta$ functions. We also discuss the problem within relativistic (Dirac) framework and give the solution for a three parameter family. It gives a physical interpretation for so-called $\epsilon$ potential. It will be also shown that the scattering properties at high energy substantially differ between non-relativistic and relativistic cases.
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"date_created": "2026-03-02T18:02:48.406000Z",
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"abstract": "We first give the solution for the local approximation of a four parameter\nfamily of generalized one-dimensional point interactions within the framework\nof non-relativistic model with three neighboring $\\delta$ functions. We also\ndiscuss the problem within relativistic (Dirac) framework and give the solution\nfor a three parameter family. It gives a physical interpretation for so-called\n$\\epsilon$ potential. It will be also shown that the scattering properties at\nhigh energy substantially differ between non-relativistic and relativistic\ncases.",
"arxiv_id": "quant-ph/9911059",
"authors": [
"T. Shigehara",
"H. Mizoguchi",
"T. Mishima",
"Taksu Cheon"
],
"categories": [
"quant-ph"
],
"title": "Generalized One-Dimensional Point Interaction in Relativistic and Non-relativistic Quantum Mechanics",
"url": "https://arxiv.org/abs/quant-ph/9911059"
},
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"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
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