dorsal/arxiv
View SchemaExact zero-energy solution for a new family of Anharmonic Potentials
| Authors | Yoel Lana-Renault |
|---|---|
| Categories | |
| ArXiv ID | physics/0102054 |
| URL | https://arxiv.org/abs/physics/0102054 |
| Journal | Acad. Ciencias Zaragoza, 55 (2000) 103-109 |
Abstract
An explicit, oscillatory solution of the type r = [A + B sin(wt)]exp(a) is found for the zero-energy one-dimensional motion of a particle under a specific family of anharmonic potentials. We present a new parametric family of anharmonic potentials for which one is able to obtain closed analytical solutions for the trajectories of zero-energy.
{
"annotation_id": "1ad0cac9-b8a1-48ac-b335-ae267d08587f",
"date_created": "2026-03-02T18:00:36.223000Z",
"date_modified": "2026-03-02T18:00:36.223000Z",
"file_hash": "98f8b694dd8fd12dbb3aa9246b4180b8297c85999e172e39bee0ee654721ed36",
"private": false,
"record": {
"abstract": "An explicit, oscillatory solution of the type r = [A + B sin(wt)]exp(a) is\nfound for the zero-energy one-dimensional motion of a particle under a specific\nfamily of anharmonic potentials. We present a new parametric family of\nanharmonic potentials for which one is able to obtain closed analytical\nsolutions for the trajectories of zero-energy.",
"arxiv_id": "physics/0102054",
"authors": [
"Yoel Lana-Renault"
],
"categories": [
"physics.atom-ph",
"physics.gen-ph"
],
"journal_ref": "Acad. Ciencias Zaragoza, 55 (2000) 103-109",
"title": "Exact zero-energy solution for a new family of Anharmonic Potentials",
"url": "https://arxiv.org/abs/physics/0102054"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "11c62d2b-fc48-4728-8e9d-fa550f93bffb",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}