dorsal/arxiv
View SchemaOn the truncation of the harmonic oscillator wavepacket
| Authors | L Rebollo-Neira, S Jain |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0504229 |
| URL | https://arxiv.org/abs/quant-ph/0504229 |
| DOI | 10.1088/0305-4470/38/17/L03 |
| Journal | J. Phys. A: Math. Gen. 38 L293-L299 (2005) |
Abstract
We present an interesting result regarding the implication of truncating the wavepacket of the harmonic oscillator. We show that disregarding the non-significant tails of a function which is the superposition of eigenfunctions of the harmonic oscillator has a remarkable consequence: namely, there exist infinitely many different superpositions giving rise to the same function on the interval. Uniqueness, in the case of a wavepacket, is restored by a postulate of quantum mechanics.
{
"annotation_id": "6e63fd36-de86-49b1-8092-82ee541a7e86",
"date_created": "2026-03-02T18:02:17.162000Z",
"date_modified": "2026-03-02T18:02:17.162000Z",
"file_hash": "fa5a877ccbf1afe05e4a1bad5e9cda8d545b13c6c73c76299eb86dbc46cbc6f7",
"private": false,
"record": {
"abstract": "We present an interesting result regarding the implication of truncating the\nwavepacket of the harmonic oscillator. We show that disregarding the\nnon-significant tails of a function which is the superposition of\neigenfunctions of the harmonic oscillator has a remarkable consequence: namely,\nthere exist infinitely many different superpositions giving rise to the same\nfunction on the interval. Uniqueness, in the case of a wavepacket, is restored\nby a postulate of quantum mechanics.",
"arxiv_id": "quant-ph/0504229",
"authors": [
"L Rebollo-Neira",
"S Jain"
],
"categories": [
"quant-ph"
],
"doi": "10.1088/0305-4470/38/17/L03",
"journal_ref": "J. Phys. A: Math. Gen. 38 L293-L299 (2005)",
"title": "On the truncation of the harmonic oscillator wavepacket",
"url": "https://arxiv.org/abs/quant-ph/0504229"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "ff7c4754-38b2-42f1-8298-9645545eb35c",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}