dorsal/arxiv
View SchemaContinuous differential operators and a new interpretation of the charmonium spectrum
| Authors | R. Herrmann |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/0508033 |
| URL | https://arxiv.org/abs/nucl-th/0508033 |
Abstract
The definition of the standard differential operator is extended from integer steps to arbitrary stepsize. The classical, nonrelativistic Hamiltonian is quantized, using these new continuous operators. The resulting Schroedinger type equation generates free particle solutions, which are confined in space. The angular momentum eigenvalues are calculated algebraically. It is shown, that the charmonium spectrum may be classified by the derived angular momentum eigenvalues for stepsize=2/3.
{
"annotation_id": "664f872f-abb4-47c7-8df7-9e12b0d663df",
"date_created": "2026-03-02T18:00:04.389000Z",
"date_modified": "2026-03-02T18:00:04.389000Z",
"file_hash": "14adec1bc5d5339a68b15cc92b5149d97e2c53f6bf933db5fc65b507824263a0",
"private": false,
"record": {
"abstract": "The definition of the standard differential operator is extended from integer\nsteps to arbitrary stepsize. The classical, nonrelativistic Hamiltonian is\nquantized, using these new continuous operators. The resulting Schroedinger\ntype equation generates free particle solutions, which are confined in space.\nThe angular momentum eigenvalues are calculated algebraically. It is shown,\nthat the charmonium spectrum may be classified by the derived angular momentum\neigenvalues for stepsize=2/3.",
"arxiv_id": "nucl-th/0508033",
"authors": [
"R. Herrmann"
],
"categories": [
"nucl-th"
],
"title": "Continuous differential operators and a new interpretation of the charmonium spectrum",
"url": "https://arxiv.org/abs/nucl-th/0508033"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "1bc8b36b-5faf-401e-a36a-fcf08afaf9f6",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}