dorsal/arxiv
View SchemaGeneralized Heisenberg relation and Quantum Harmonic Oscillators
| Authors | P. Narayana Swamy |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0610079 |
| URL | https://arxiv.org/abs/quant-ph/0610079 |
| DOI | 10.1142/S0217751X06034458 |
Abstract
We study the consequences of the generalized Heisenberg uncertainty relation which admits a minimal uncertainty in length such as the case in a theory of quantum gravity. In particular, the theory of quantum harmonic oscillators arising from such a generalized uncertainty relation is examined. We demonstrate that all the standard properties of the quantum harmonic oscillators prevail when we employ a generalized momentum. We also show that quantum electrodynamics and coherent photon states can be described in the familiar standard manner despite the generalized uncertainty principle.
{
"annotation_id": "caceea81-2c8b-412b-8cb9-abe012ba1ba3",
"date_created": "2026-03-02T18:02:30.500000Z",
"date_modified": "2026-03-02T18:02:30.500000Z",
"file_hash": "18268153691b8d8257c08ea722d2e7b4b2370c2ca915317f8a49ddde2724fa13",
"private": false,
"record": {
"abstract": "We study the consequences of the generalized Heisenberg uncertainty relation\nwhich admits a minimal uncertainty in length such as the case in a theory of\nquantum gravity. In particular, the theory of quantum harmonic oscillators\narising from such a generalized uncertainty relation is examined. We\ndemonstrate that all the standard properties of the quantum harmonic\noscillators prevail when we employ a generalized momentum. We also show that\nquantum electrodynamics and coherent photon states can be described in the\nfamiliar standard manner despite the generalized uncertainty principle.",
"arxiv_id": "quant-ph/0610079",
"authors": [
"P. Narayana Swamy"
],
"categories": [
"quant-ph"
],
"doi": "10.1142/S0217751X06034458",
"title": "Generalized Heisenberg relation and Quantum Harmonic Oscillators",
"url": "https://arxiv.org/abs/quant-ph/0610079"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "24b67766-645f-4960-9f39-ce59eb77501a",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}