dorsal/arxiv
View SchemaOn a Resolution of the Identity in Terms of Coherent States
| Authors | Boris F. Samsonov |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9805051 |
| URL | https://arxiv.org/abs/quant-ph/9805051 |
Abstract
Transformations of coherent states of the free particle by bounded and semibounded symmetry operators are considered. Resolution of the identity operator in terms of the transformed states is analyzed. A generalized identity resolution is formulated. Darboux transformation operators are analyzed as operators defined in a Hilbert space. Coherent states of multisoliton potentials are studied.
{
"annotation_id": "452f35db-9caa-4c24-9126-032ab495c4bb",
"date_created": "2026-03-02T18:02:41.483000Z",
"date_modified": "2026-03-02T18:02:41.483000Z",
"file_hash": "7f7229cd54a1e55ef752f36bd15b4ae3e6b92868703c3cb953031c2fcc8c631e",
"private": false,
"record": {
"abstract": "Transformations of coherent states of the free particle by bounded and\nsemibounded symmetry operators are considered. Resolution of the identity\noperator in terms of the transformed states is analyzed. A generalized identity\nresolution is formulated. Darboux transformation operators are analyzed as\noperators defined in a Hilbert space. Coherent states of multisoliton\npotentials are studied.",
"arxiv_id": "quant-ph/9805051",
"authors": [
"Boris F. Samsonov"
],
"categories": [
"quant-ph"
],
"title": "On a Resolution of the Identity in Terms of Coherent States",
"url": "https://arxiv.org/abs/quant-ph/9805051"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "eb4c6a89-649a-4689-8d74-54f461c605ca",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}