dorsal/arxiv
View SchemaA Remark on One-Dimensional Many-Body Problems with Point Interactions
| Authors | Sergio Albeverio, Ludwik Dabrowski, Shao-Ming Fei |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0001089 |
| URL | https://arxiv.org/abs/quant-ph/0001089 |
| DOI | 10.1142/S0217979200000601 |
| Journal | Int.J.Mod.Phys. B14 (2000) 721 |
Abstract
The integrability of one dimensional quantum mechanical many-body problems with general contact interactions is extensively studied. It is shown that besides the pure (repulsive or attractive) $\delta$-function interaction there is another singular point interactions which gives rise to a new one-parameter family of integrable quantum mechanical many-body systems. The bound states and scattering matrices are calculated for both bosonic and fermionic statistics.
{
"annotation_id": "71c7a8e1-a225-4ed6-8baf-e2fe846fe3bd",
"date_created": "2026-03-02T18:01:35.846000Z",
"date_modified": "2026-03-02T18:01:35.846000Z",
"file_hash": "32ba62fb077f748ba3f60313c09e0da98b9d01a2cdd16090c0651ab61c6afdfe",
"private": false,
"record": {
"abstract": "The integrability of one dimensional quantum mechanical many-body problems\nwith general contact interactions is extensively studied. It is shown that\nbesides the pure (repulsive or attractive) $\\delta$-function interaction there\nis another singular point interactions which gives rise to a new one-parameter\nfamily of integrable quantum mechanical many-body systems. The bound states and\nscattering matrices are calculated for both bosonic and fermionic statistics.",
"arxiv_id": "quant-ph/0001089",
"authors": [
"Sergio Albeverio",
"Ludwik Dabrowski",
"Shao-Ming Fei"
],
"categories": [
"quant-ph",
"cond-mat",
"hep-th"
],
"doi": "10.1142/S0217979200000601",
"journal_ref": "Int.J.Mod.Phys. B14 (2000) 721",
"title": "A Remark on One-Dimensional Many-Body Problems with Point Interactions",
"url": "https://arxiv.org/abs/quant-ph/0001089"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "7c4fa2b7-2d36-4854-8f8d-ddf3ee5b06da",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}