dorsal/arxiv
View SchemaCoherent states for time dependent harmonic oscillator: the step function
| Authors | H. Moya-Cessa, M. Fernandez-Guasti |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0301111 |
| URL | https://arxiv.org/abs/quant-ph/0301111 |
| DOI | 10.1016/S0375-9601(03)00461-4 |
| Journal | Phys. Lett. A 311, 1 (2003) |
Abstract
We study the time evolution for the quantum harmonic oscillator subjected to a sudden change of frequency. It is based on an approximate analytic solution to the time dependent Ermakov equation for a step function. This approach allows for a continuous treatment that differs from former studies that involve the matching of two time independent solutions at the time when the step occurs.
{
"annotation_id": "c313d621-efc7-47cf-af35-e077518433a6",
"date_created": "2026-03-02T18:01:56.003000Z",
"date_modified": "2026-03-02T18:01:56.003000Z",
"file_hash": "5eb858d16f0804f8bf507f4d477b9d328f60d56b995d1662b05bfeaa752bcb67",
"private": false,
"record": {
"abstract": "We study the time evolution for the quantum harmonic oscillator subjected to\na sudden change of frequency. It is based on an approximate analytic solution\nto the time dependent Ermakov equation for a step function. This approach\nallows for a continuous treatment that differs from former studies that involve\nthe matching of two time independent solutions at the time when the step\noccurs.",
"arxiv_id": "quant-ph/0301111",
"authors": [
"H. Moya-Cessa",
"M. Fernandez-Guasti"
],
"categories": [
"quant-ph"
],
"doi": "10.1016/S0375-9601(03)00461-4",
"journal_ref": "Phys. Lett. A 311, 1 (2003)",
"title": "Coherent states for time dependent harmonic oscillator: the step function",
"url": "https://arxiv.org/abs/quant-ph/0301111"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "39579caa-8f36-4d98-b736-85874df97fae",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}