dorsal/arxiv
View SchemaDimensional enhancement of kinetic energies
| Authors | W. P. Schleich, J. P. Dahl |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0203063 |
| URL | https://arxiv.org/abs/quant-ph/0203063 |
| DOI | 10.1103/PhysRevA.65.052109 |
| Journal | Phys. Rev. A 65, 052109 (2002) |
Abstract
Simple thermodynamics considers kinetic energy to be an extensive variable which is proportional to the number, N, of particles. We present a quantum state of N non-interacting particles for which the kinetic energy increases quadratically with N. This enhancement effect is tied to the quantum centrifugal potential whose strength is quadratic in the number of dimensions of configuration space.
{
"annotation_id": "8d31b242-5813-4500-9962-812a017f4f1b",
"date_created": "2026-03-02T18:01:48.899000Z",
"date_modified": "2026-03-02T18:01:48.899000Z",
"file_hash": "84541c8bff39659464741b836065dc4efce008d0b3305f6daf73cc95e7e31e4f",
"private": false,
"record": {
"abstract": "Simple thermodynamics considers kinetic energy to be an extensive variable\nwhich is proportional to the number, N, of particles. We present a quantum\nstate of N non-interacting particles for which the kinetic energy increases\nquadratically with N. This enhancement effect is tied to the quantum\ncentrifugal potential whose strength is quadratic in the number of dimensions\nof configuration space.",
"arxiv_id": "quant-ph/0203063",
"authors": [
"W. P. Schleich",
"J. P. Dahl"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevA.65.052109",
"journal_ref": "Phys. Rev. A 65, 052109 (2002)",
"title": "Dimensional enhancement of kinetic energies",
"url": "https://arxiv.org/abs/quant-ph/0203063"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "d0709eef-587f-487f-ad61-42a4448bfd27",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}