dorsal/arxiv
View SchemaIntertwining relations of non-stationary Schr\"odinger operators
| Authors | F. Cannata, M. Ioffe, G. Junker, D. Nishnianidze |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9810033 |
| URL | https://arxiv.org/abs/quant-ph/9810033 |
| DOI | 10.1088/0305-4470/32/19/309 |
| Journal | J.Phys.A32:3583-3598,1999 |
Abstract
General first- and higher-order intertwining relations between non-stationary one-dimensional Schr\"odinger operators are introduced. For the first-order case it is shown that the intertwining relations imply some hidden symmetry which in turn results in a $R$-separation of variables. The Fokker-Planck and diffusion equation are briefly considered. Second-order intertwining operators are also discussed within a general approach. However, due to its complicated structure only particular solutions are given in some detail.
{
"annotation_id": "cb944e7a-ecf2-4084-8011-c82510f72298",
"date_created": "2026-03-02T18:02:44.122000Z",
"date_modified": "2026-03-02T18:02:44.122000Z",
"file_hash": "8944f1e67c256585dd9b7a9ceb4f793e034f6bd623f2f22f380d7bf33cae1c34",
"private": false,
"record": {
"abstract": "General first- and higher-order intertwining relations between non-stationary\none-dimensional Schr\\\"odinger operators are introduced. For the first-order\ncase it is shown that the intertwining relations imply some hidden symmetry\nwhich in turn results in a $R$-separation of variables. The Fokker-Planck and\ndiffusion equation are briefly considered. Second-order intertwining operators\nare also discussed within a general approach. However, due to its complicated\nstructure only particular solutions are given in some detail.",
"arxiv_id": "quant-ph/9810033",
"authors": [
"F. Cannata",
"M. Ioffe",
"G. Junker",
"D. Nishnianidze"
],
"categories": [
"quant-ph",
"hep-th",
"math-ph",
"math.MP"
],
"doi": "10.1088/0305-4470/32/19/309",
"journal_ref": "J.Phys.A32:3583-3598,1999",
"title": "Intertwining relations of non-stationary Schr\\\"odinger operators",
"url": "https://arxiv.org/abs/quant-ph/9810033"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "eea5cbbb-d377-45d6-b893-53c3cd04ab84",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}