dorsal/arxiv
View SchemaDerivation of the Pauli exchange principle
| Authors | A. A. Broyles |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9906046 |
| URL | https://arxiv.org/abs/quant-ph/9906046 |
Abstract
Wave functions are generally written with arguments consisting of sets of ``particle'' coordinates and quantum numbers. Pauli derived a principle governing the exchange of pairs of sets that differ only in their spatial and spin component $(m_s)$ coordinates. This principle states that an exchange of two of these sets produces the same wave function except for its being multiplied by a factor of $(-1)^{2s}$. Pauli's proof is based upon quantum field operators and is difficult to understand. A much simpler proof, making use of properties of wave functions, is presented here.
{
"annotation_id": "db081b65-9218-4681-aafe-7d66fcf4c57b",
"date_created": "2026-03-02T18:02:47.659000Z",
"date_modified": "2026-03-02T18:02:47.659000Z",
"file_hash": "0c38a914f32a190b9602039f52554d892a52256f559017912b646ead98eae6d2",
"private": false,
"record": {
"abstract": "Wave functions are generally written with arguments consisting of sets of\n``particle\u0027\u0027 coordinates and quantum numbers. Pauli derived a principle\ngoverning the exchange of pairs of sets that differ only in their spatial and\nspin component $(m_s)$ coordinates. This principle states that an exchange of\ntwo of these sets produces the same wave function except for its being\nmultiplied by a factor of $(-1)^{2s}$. Pauli\u0027s proof is based upon quantum\nfield operators and is difficult to understand. A much simpler proof, making\nuse of properties of wave functions, is presented here.",
"arxiv_id": "quant-ph/9906046",
"authors": [
"A. A. Broyles"
],
"categories": [
"quant-ph"
],
"title": "Derivation of the Pauli exchange principle",
"url": "https://arxiv.org/abs/quant-ph/9906046"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "90289230-9033-4239-b5ee-10d2131edf0a",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}