dorsal/arxiv
View SchemaSteppingstones in Hamiltonian dynamics
| Authors | Thomas F. Jordan |
|---|---|
| Categories | |
| ArXiv ID | physics/0310140 |
| URL | https://arxiv.org/abs/physics/0310140 |
| DOI | 10.1119/1.1737394 |
| Journal | Am. J. Phys. 72, 1095 (2004) |
Abstract
Easy steps through essential Hamiltonian dynamics are outlined, from necessary definitions of Poisson brackets and canonical transformations, to a quick proof that Hamiltonian evolution is made by canonical transformations, the quickest proof of Liouville's theorem, and on to Poincare-Cartan integral invariants and completely integrable dynamics, making room, providing tools, and setting the stage for more recent developments.
{
"annotation_id": "75798526-cdfd-4d67-aa68-b96fe6cde354",
"date_created": "2026-03-02T18:00:46.598000Z",
"date_modified": "2026-03-02T18:00:46.598000Z",
"file_hash": "232adb7d290b817746acbc1c78665341005c5857c55b30c69dfc3e3c13ed82c2",
"private": false,
"record": {
"abstract": "Easy steps through essential Hamiltonian dynamics are outlined, from\nnecessary definitions of Poisson brackets and canonical transformations, to a\nquick proof that Hamiltonian evolution is made by canonical transformations,\nthe quickest proof of Liouville\u0027s theorem, and on to Poincare-Cartan integral\ninvariants and completely integrable dynamics, making room, providing tools,\nand setting the stage for more recent developments.",
"arxiv_id": "physics/0310140",
"authors": [
"Thomas F. Jordan"
],
"categories": [
"physics.ed-ph",
"physics.class-ph"
],
"doi": "10.1119/1.1737394",
"journal_ref": "Am. J. Phys. 72, 1095 (2004)",
"title": "Steppingstones in Hamiltonian dynamics",
"url": "https://arxiv.org/abs/physics/0310140"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "1dd2ba09-527a-4d1a-9304-5b0b96fcf395",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}