dorsal/arxiv
View SchemaSome Aspects of Generalized Contact Interaction in One-Dimensional Quantum Mechanics
| Authors | Taksu Cheon, T. Shigehara |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9808034 |
| URL | https://arxiv.org/abs/quant-ph/9808034 |
Abstract
We construct a one-dimensional contact interaction ($\epsilon$ potential) which induces the discontinuity of the wave function while keeping its derivative continuous. By combining the $\epsilon$ potential and the Dirac's $\delta$ function, we construct most general one-dimensional contact interactions allowable under the time reversal symmetry. We present some elementary results for the scattering problem which suggest a dual relation between $\delta$ and $\epsilon$ potentials.
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"abstract": "We construct a one-dimensional contact interaction ($\\epsilon$ potential)\nwhich induces the discontinuity of the wave function while keeping its\nderivative continuous. By combining the $\\epsilon$ potential and the Dirac\u0027s\n$\\delta$ function, we construct most general one-dimensional contact\ninteractions allowable under the time reversal symmetry. We present some\nelementary results for the scattering problem which suggest a dual relation\nbetween $\\delta$ and $\\epsilon$ potentials.",
"arxiv_id": "quant-ph/9808034",
"authors": [
"Taksu Cheon",
"T. Shigehara"
],
"categories": [
"quant-ph",
"cond-mat",
"hep-th",
"nlin.SI",
"nucl-th",
"solv-int"
],
"title": "Some Aspects of Generalized Contact Interaction in One-Dimensional Quantum Mechanics",
"url": "https://arxiv.org/abs/quant-ph/9808034"
},
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