dorsal/arxiv
View SchemaLocal gauge invariance implies Siegert's hypothesis
| Authors | H. W. L. Naus |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/9608063 |
| URL | https://arxiv.org/abs/nucl-th/9608063 |
| DOI | 10.1103/PhysRevC.55.1580 |
| Journal | Phys.Rev.C55:1580-1582,1997 |
Abstract
The nonrelativistic Ward-Takahashi identity, a consequence of local gauge invariance in quantum mechanics, shows the necessity of exchange current contributions in case of nonlocal and/or isospin-dependent potentials. It also implies Siegert's hypothesis: in the nonrelativistic limit, two-body charge densities identically vanish. Neither current conservation, which follows from global gauge invariance, nor the constraints of (lowest order) relativity are sufficient to arrive at this result. Furthermore, a low-energy theorem for exchange contributions is established.
{
"annotation_id": "8e32ce5f-1e57-46c1-a4a7-d5380b4446f3",
"date_created": "2026-03-02T18:00:18.474000Z",
"date_modified": "2026-03-02T18:00:18.474000Z",
"file_hash": "492bb112524bfb9dc994dbf576e95cfdd05d504f4aed37f22f05c3d0da2bd23c",
"private": false,
"record": {
"abstract": "The nonrelativistic Ward-Takahashi identity, a consequence of local gauge\ninvariance in quantum mechanics, shows the necessity of exchange current\ncontributions in case of nonlocal and/or isospin-dependent potentials. It also\nimplies Siegert\u0027s hypothesis: in the nonrelativistic limit, two-body charge\ndensities identically vanish. Neither current conservation, which follows from\nglobal gauge invariance, nor the constraints of (lowest order) relativity are\nsufficient to arrive at this result. Furthermore, a low-energy theorem for\nexchange contributions is established.",
"arxiv_id": "nucl-th/9608063",
"authors": [
"H. W. L. Naus"
],
"categories": [
"nucl-th"
],
"doi": "10.1103/PhysRevC.55.1580",
"journal_ref": "Phys.Rev.C55:1580-1582,1997",
"title": "Local gauge invariance implies Siegert\u0027s hypothesis",
"url": "https://arxiv.org/abs/nucl-th/9608063"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "6b547471-3da1-4f71-88d2-83c98589481b",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}