dorsal/arxiv
View SchemaRelation between Dimension and Angular Momentum for Radially Symmetric Potential in $N$-dimensional Space
| Authors | Zhao Wei-Qin |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0511086 |
| URL | https://arxiv.org/abs/quant-ph/0511086 |
Abstract
It is proved that when solving Schroedinger equations for radially symmetric potentials the effect of higher dimensions on the radial wave function is equivalent to the effect of higher angular momenta in lower dimensional cases. This result is applied to giving solutions for several radially symmetric potentials in N-dimension.
{
"annotation_id": "d7f98959-4c09-47db-8afe-2ebc5bc46d04",
"date_created": "2026-03-02T18:02:20.654000Z",
"date_modified": "2026-03-02T18:02:20.654000Z",
"file_hash": "5e60877c850f2f774db93fb94dff114595586ab7ad4d6c4276d957d916bbe55f",
"private": false,
"record": {
"abstract": "It is proved that when solving Schroedinger equations for radially symmetric\npotentials the effect of higher dimensions on the radial wave function is\nequivalent to the effect of higher angular momenta in lower dimensional cases.\nThis result is applied to giving solutions for several radially symmetric\npotentials in N-dimension.",
"arxiv_id": "quant-ph/0511086",
"authors": [
"Zhao Wei-Qin"
],
"categories": [
"quant-ph"
],
"title": "Relation between Dimension and Angular Momentum for Radially Symmetric Potential in $N$-dimensional Space",
"url": "https://arxiv.org/abs/quant-ph/0511086"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "30a5ee9a-cf4d-43c0-9818-e9e64ed102c8",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}