dorsal/arxiv
View SchemaThree-dimensional harmonic oscillator and time evolution in quantum mechanics
| Authors | Pavel Kundrat, Milos V. Lokajicek |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0211026 |
| URL | https://arxiv.org/abs/quant-ph/0211026 |
| DOI | 10.1103/PhysRevA.67.012104 |
Abstract
The problem of defining time (or phase) operator for three-dimensional harmonic oscillator has been analyzed. A new formula for this operator has been derived. The results have been used to demonstrate a possibility of representing quantum-mechanical time evolution in the framework of an extended Hilbert space structure. Physical interpretation of the extended structure has been discussed shortly, too.
{
"annotation_id": "de313d4b-e4b8-4fa1-9a03-063e3f67a228",
"date_created": "2026-03-02T18:01:56.114000Z",
"date_modified": "2026-03-02T18:01:56.114000Z",
"file_hash": "3d64f98594d6ce14badaded139473bdffd4b995378d796f2279ecfb9f6113292",
"private": false,
"record": {
"abstract": "The problem of defining time (or phase) operator for three-dimensional\nharmonic oscillator has been analyzed. A new formula for this operator has been\nderived. The results have been used to demonstrate a possibility of\nrepresenting quantum-mechanical time evolution in the framework of an extended\nHilbert space structure. Physical interpretation of the extended structure has\nbeen discussed shortly, too.",
"arxiv_id": "quant-ph/0211026",
"authors": [
"Pavel Kundrat",
"Milos V. Lokajicek"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevA.67.012104",
"title": "Three-dimensional harmonic oscillator and time evolution in quantum mechanics",
"url": "https://arxiv.org/abs/quant-ph/0211026"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "b3cb2b78-b40c-428b-b022-4269839a0487",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}