dorsal/arxiv
View SchemaParticle on a polygon: Quantum Mechanics
| Authors | Rajat Kumar Pradhan, Sandeep K. Joshi |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0009011 |
| URL | https://arxiv.org/abs/quant-ph/0009011 |
| Journal | Orissa Journal of Physics, vol. XI, (2004), 197-204 |
Abstract
We study the quantization of a model proposed by Newton to explain centripetal force namely, that of a particle moving on a regular polygon. The exact eigenvalues and eigenfunctions are obtained. The quantum mechanics of a particle moving on a circle and in an infinite potential well are derived as limiting cases.
{
"annotation_id": "e80dfd59-cc57-494e-8ead-df664586cf08",
"date_created": "2026-03-02T18:01:39.151000Z",
"date_modified": "2026-03-02T18:01:39.151000Z",
"file_hash": "0d7e1251fb868e9614eb8f090fd1eee61632c2f04fafbb8c2210c8d8593a4e3a",
"private": false,
"record": {
"abstract": "We study the quantization of a model proposed by Newton to explain\ncentripetal force namely, that of a particle moving on a regular polygon. The\nexact eigenvalues and eigenfunctions are obtained. The quantum mechanics of a\nparticle moving on a circle and in an infinite potential well are derived as\nlimiting cases.",
"arxiv_id": "quant-ph/0009011",
"authors": [
"Rajat Kumar Pradhan",
"Sandeep K. Joshi"
],
"categories": [
"quant-ph"
],
"journal_ref": "Orissa Journal of Physics, vol. XI, (2004), 197-204",
"title": "Particle on a polygon: Quantum Mechanics",
"url": "https://arxiv.org/abs/quant-ph/0009011"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "cbdc7af8-fe6e-45f0-9f15-06343e8cb79b",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}