dorsal/arxiv
View SchemaProposed Differential Equation for Spin 1/2
| Authors | H. V. Mweene |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0411060 |
| URL | https://arxiv.org/abs/quant-ph/0411060 |
| Journal | H. V. Mweene, "Proc. Third Int. Workshop on Contemporary Problems in Mathematical Physics", Cotonou 2003, ed. J. Govaerts, M. N. Hounkonnou and A. Z. Msezane (World Scientific, 2004). |
Abstract
Intimate though the connection is between orbital angular momentum and intrinsic spin, there are differences between them the two quantities. One of them is the fact that while orbital angular momentum has a wave-mechanics description by courtesy of Legendre's equation, spin lacks one. In this paper, we show that there exists a differential eigenvalue equation whose solutions are the spin-1/2 eigenvectors.
{
"annotation_id": "535813b8-f43b-4233-ae53-f487ad0d0f89",
"date_created": "2026-03-02T18:02:13.267000Z",
"date_modified": "2026-03-02T18:02:13.267000Z",
"file_hash": "a6452a2ee018ff679021754783f98930940fcc869283b492fedca96e9e0a2f66",
"private": false,
"record": {
"abstract": "Intimate though the connection is between orbital angular momentum and\nintrinsic spin, there are differences between them the two quantities. One of\nthem is the fact that while orbital angular momentum has a wave-mechanics\ndescription by courtesy of Legendre\u0027s equation, spin lacks one. In this paper,\nwe show that there exists a differential eigenvalue equation whose solutions\nare the spin-1/2 eigenvectors.",
"arxiv_id": "quant-ph/0411060",
"authors": [
"H. V. Mweene"
],
"categories": [
"quant-ph"
],
"journal_ref": "H. V. Mweene, \"Proc. Third Int. Workshop on Contemporary Problems\n in Mathematical Physics\", Cotonou 2003, ed. J. Govaerts, M. N. Hounkonnou and\n A. Z. Msezane (World Scientific, 2004).",
"title": "Proposed Differential Equation for Spin 1/2",
"url": "https://arxiv.org/abs/quant-ph/0411060"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "a562b22e-b6f4-46b2-9ea0-de8a4810c0a2",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}