dorsal/arxiv
View SchemaCurvature induced toroidal bound states
| Authors | M. Encinosa, L. Mott |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0303083 |
| URL | https://arxiv.org/abs/quant-ph/0303083 |
| DOI | 10.1103/PhysRevA.68.014102 |
Abstract
Curvature induced bound state (E < 0) eigenvalues and eigenfunctions for a particle constrained to move on the surface of a torus are calculated. A limit on the number of bound states a torus with minor radius a and major radius R can support is obtained. A condition for mapping constrained particle wave functions on the torus into free particle wave functions is established.
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"abstract": "Curvature induced bound state (E \u003c 0) eigenvalues and eigenfunctions for a\nparticle constrained to move on the surface of a torus are calculated. A limit\non the number of bound states a torus with minor radius a and major radius R\ncan support is obtained. A condition for mapping constrained particle wave\nfunctions on the torus into free particle wave functions is established.",
"arxiv_id": "quant-ph/0303083",
"authors": [
"M. Encinosa",
"L. Mott"
],
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"quant-ph"
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"doi": "10.1103/PhysRevA.68.014102",
"title": "Curvature induced toroidal bound states",
"url": "https://arxiv.org/abs/quant-ph/0303083"
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