dorsal/arxiv
View SchemaWave-Packet Revivals for Quantum Systems with Nondegenerate Energies
| Authors | Robert Bluhm, Alan Kostelecky, Bogdan Tudose |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9609020 |
| URL | https://arxiv.org/abs/quant-ph/9609020 |
| DOI | 10.1016/0375-9601(96)00641-X |
| Journal | Phys.Lett.A222:220,1996 |
Abstract
The revival structure of wave packets is examined for quantum systems having energies that depend on two nondegenerate quantum numbers. For such systems, the evolution of the wave packet is controlled by two classical periods and three revival times. These wave packets exhibit quantum beats in the initial motion as well as new types of long-term revivals. The issue of whether fractional revivals can form is addressed. We present an analytical proof showing that at certain times equal to rational fractions of the revival times the wave packet can reform as a sum of subsidiary waves and that both conventional and new types of fractional revivals can occur.
{
"annotation_id": "59337d82-64e0-4d41-9003-530cbe8cbb53",
"date_created": "2026-03-02T18:02:37.195000Z",
"date_modified": "2026-03-02T18:02:37.195000Z",
"file_hash": "22a0479c5671fca8ca432314f20f36a5461b7c72d9e23eb50a57e7e8f91cf5dd",
"private": false,
"record": {
"abstract": "The revival structure of wave packets is examined for quantum systems having\nenergies that depend on two nondegenerate quantum numbers. For such systems,\nthe evolution of the wave packet is controlled by two classical periods and\nthree revival times. These wave packets exhibit quantum beats in the initial\nmotion as well as new types of long-term revivals. The issue of whether\nfractional revivals can form is addressed. We present an analytical proof\nshowing that at certain times equal to rational fractions of the revival times\nthe wave packet can reform as a sum of subsidiary waves and that both\nconventional and new types of fractional revivals can occur.",
"arxiv_id": "quant-ph/9609020",
"authors": [
"Robert Bluhm",
"Alan Kostelecky",
"Bogdan Tudose"
],
"categories": [
"quant-ph"
],
"doi": "10.1016/0375-9601(96)00641-X",
"journal_ref": "Phys.Lett.A222:220,1996",
"title": "Wave-Packet Revivals for Quantum Systems with Nondegenerate Energies",
"url": "https://arxiv.org/abs/quant-ph/9609020"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "24b957f1-f42a-4bb3-90a0-dcc80eb26e3a",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}