dorsal/arxiv
View Schema[p,q] does not equal (i h-bar)
| Authors | John P. Costella |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9505014 |
| URL | https://arxiv.org/abs/quant-ph/9505014 |
Abstract
In this short note, I point out that [p,q] does not equal (i h-bar), contrary to the original claims of Born and Jordan, and Dirac. Rather, [p,q] is equal to something that is *infinitesimally different* from (i h-bar). While this difference is usually harmless, it does provide the solution of the Born-Jordan "trace paradox" of [p,q]. More recently, subtleties of a very similar form have been found to be of fundamental importance in quantum field theory.
{
"annotation_id": "f982b5eb-e860-41b6-84cc-108f942d6a7b",
"date_created": "2026-03-02T18:02:37.886000Z",
"date_modified": "2026-03-02T18:02:37.886000Z",
"file_hash": "21167b31a4557d1df40150cf8e15e1502fa6ab07c2ddf3f3b86757e561a33112",
"private": false,
"record": {
"abstract": "In this short note, I point out that [p,q] does not equal (i h-bar), contrary\nto the original claims of Born and Jordan, and Dirac. Rather, [p,q] is equal to\nsomething that is *infinitesimally different* from (i h-bar). While this\ndifference is usually harmless, it does provide the solution of the Born-Jordan\n\"trace paradox\" of [p,q]. More recently, subtleties of a very similar form have\nbeen found to be of fundamental importance in quantum field theory.",
"arxiv_id": "quant-ph/9505014",
"authors": [
"John P. Costella"
],
"categories": [
"quant-ph"
],
"title": "[p,q] does not equal (i h-bar)",
"url": "https://arxiv.org/abs/quant-ph/9505014"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "59022120-a429-4680-9308-ae5f9346b25e",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}