dorsal/arxiv
View SchemaSubdynamics theory in the functional approach to quantum mechanics
| Authors | Roberto Laura, Rodolfo M. Id Betan |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9903079 |
| URL | https://arxiv.org/abs/quant-ph/9903079 |
| Journal | Int.J.Theor.Phys. 38 (1999) 165-181 |
Abstract
The formalism of subdynamics is extended to the functional approach of quantum systems, and used for the Friedrichs model, in which diagonal singularities in states and observables are included. We compute in this approach the generalized eigenvectors and eigenvalues of the Liouvulle-Von Newmann operator, using an iterative scheme. As complex generalized eigenvalues are obtained, the decay rates of unstable modes are included in the spectral decomposition.
{
"annotation_id": "0dc83642-0710-4d38-9422-3fe4fd47bec1",
"date_created": "2026-03-02T18:02:44.545000Z",
"date_modified": "2026-03-02T18:02:44.545000Z",
"file_hash": "e19258b1e9d8f53d2484eaf7753a702aee648c9afb463a29a49d40fe038a9fa3",
"private": false,
"record": {
"abstract": "The formalism of subdynamics is extended to the functional approach of\nquantum systems, and used for the Friedrichs model, in which diagonal\nsingularities in states and observables are included. We compute in this\napproach the generalized eigenvectors and eigenvalues of the Liouvulle-Von\nNewmann operator, using an iterative scheme. As complex generalized eigenvalues\nare obtained, the decay rates of unstable modes are included in the spectral\ndecomposition.",
"arxiv_id": "quant-ph/9903079",
"authors": [
"Roberto Laura",
"Rodolfo M. Id Betan"
],
"categories": [
"quant-ph"
],
"journal_ref": "Int.J.Theor.Phys. 38 (1999) 165-181",
"title": "Subdynamics theory in the functional approach to quantum mechanics",
"url": "https://arxiv.org/abs/quant-ph/9903079"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "c95edb76-730b-48a2-b28e-055352988cfb",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}