dorsal/arxiv
View SchemaClassical and quantum coupled oscillators: symplectic structure
| Authors | A. R. Bosco de Magalhães, C. H. d'Ávila Fonseca, M. C. Nemes |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0507140 |
| URL | https://arxiv.org/abs/quant-ph/0507140 |
| DOI | 10.1088/0031-8949/74/4/011 |
Abstract
We consider a set of N linearly coupled harmonic oscillators and show that the diagonalization of this problem can be put in geometrical terms. The matrix techniques developed here allowed for solutions in both the classical and quantum regimes.
{
"annotation_id": "c97ef684-e489-40b1-8bb5-666b08f318e1",
"date_created": "2026-03-02T18:02:19.342000Z",
"date_modified": "2026-03-02T18:02:19.342000Z",
"file_hash": "a5de86ebffa0f9544384b3d73bceb94bbf3c1012aa57ed9e938bce0221098664",
"private": false,
"record": {
"abstract": "We consider a set of N linearly coupled harmonic oscillators and show that\nthe diagonalization of this problem can be put in geometrical terms. The matrix\ntechniques developed here allowed for solutions in both the classical and\nquantum regimes.",
"arxiv_id": "quant-ph/0507140",
"authors": [
"A. R. Bosco de Magalh\u00e3es",
"C. H. d\u0027\u00c1vila Fonseca",
"M. C. Nemes"
],
"categories": [
"quant-ph"
],
"doi": "10.1088/0031-8949/74/4/011",
"title": "Classical and quantum coupled oscillators: symplectic structure",
"url": "https://arxiv.org/abs/quant-ph/0507140"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "51b0468f-ec97-4393-8dcf-aa9ff07b0f58",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}