dorsal/arxiv
View SchemaPartial Wave Analysis of Scattering with Nonlocal Aharonov-Bohm Effect and Anomalous Cross Section induced by Quantum Interference
| Authors | De-Hone Lin |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0312200 |
| URL | https://arxiv.org/abs/quant-ph/0312200 |
| DOI | 10.1103/PhysRevA.69.052711 |
Abstract
Partial wave theory of a three dmensional scattering problem for an arbitray short range potential and a nonlocal Aharonov-Bohm magnetic flux is established. The scattering process of a ``hard shere'' like potential and the magnetic flux is examined. An anomalous total cross section is revealed at the specific quantized magnetic flux at low energy which helps explain the composite fermion and boson model in the fractional quantum Hall effect. Since the nonlocal quantum interference of magnetic flux on the charged particles is universal, the nonlocal effect is expected to appear in quite general potential system and will be useful in understanding some other phenomena in mesoscopic phyiscs.
{
"annotation_id": "2bb9a233-23bc-4b7a-b1b2-0c5302bf887f",
"date_created": "2026-03-02T18:02:03.600000Z",
"date_modified": "2026-03-02T18:02:03.600000Z",
"file_hash": "25e6b9fff33e5a5bc6ab797c6092554ab722e877e39cafc73e8742af03126375",
"private": false,
"record": {
"abstract": "Partial wave theory of a three dmensional scattering problem for an arbitray\nshort range potential and a nonlocal Aharonov-Bohm magnetic flux is\nestablished. The scattering process of a ``hard shere\u0027\u0027 like potential and the\nmagnetic flux is examined. An anomalous total cross section is revealed at the\nspecific quantized magnetic flux at low energy which helps explain the\ncomposite fermion and boson model in the fractional quantum Hall effect. Since\nthe nonlocal quantum interference of magnetic flux on the charged particles is\nuniversal, the nonlocal effect is expected to appear in quite general potential\nsystem and will be useful in understanding some other phenomena in mesoscopic\nphyiscs.",
"arxiv_id": "quant-ph/0312200",
"authors": [
"De-Hone Lin"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevA.69.052711",
"title": "Partial Wave Analysis of Scattering with Nonlocal Aharonov-Bohm Effect and Anomalous Cross Section induced by Quantum Interference",
"url": "https://arxiv.org/abs/quant-ph/0312200"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "785048da-60f4-467d-8745-835753bed4eb",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}