dorsal/arxiv
View SchemaExactly solvable models of quantum mechanics including fluctuations in the framework of representation of the wave function by random process
| Authors | A. S. Gevorkyan, A. A. Udalov |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0007108 |
| URL | https://arxiv.org/abs/quant-ph/0007108 |
Abstract
The problem of quantum harmonic oscillator with "regular+random" square frequency, subjected to "regular+random external force, is considered in framework of representation of the wave function by complex-valued random process. Average transition probabilities are calculated. Stochastic density matrix method is developed, which is used for investigation of thermodinamical characteristics of the system, such as entropy and average energy.
{
"annotation_id": "4892e94f-1ded-48ba-8fb4-0afa5189de4c",
"date_created": "2026-03-02T18:01:39.272000Z",
"date_modified": "2026-03-02T18:01:39.272000Z",
"file_hash": "2a1abe94b0b191b743238a6f395561d2cd64008b2d69e6748e8bba3a1d7f44d4",
"private": false,
"record": {
"abstract": "The problem of quantum harmonic oscillator with \"regular+random\" square\nfrequency, subjected to \"regular+random external force, is considered in\nframework of representation of the wave function by complex-valued random\nprocess. Average transition probabilities are calculated. Stochastic density\nmatrix method is developed, which is used for investigation of thermodinamical\ncharacteristics of the system, such as entropy and average energy.",
"arxiv_id": "quant-ph/0007108",
"authors": [
"A. S. Gevorkyan",
"A. A. Udalov"
],
"categories": [
"quant-ph"
],
"title": "Exactly solvable models of quantum mechanics including fluctuations in the framework of representation of the wave function by random process",
"url": "https://arxiv.org/abs/quant-ph/0007108"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "836d0e10-87c2-4343-acfb-c587fb88f60f",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}