dorsal/arxiv
View SchemaExact Stochastic Reformulation of Non-Relativistic Quantum Dynamics
| Authors | Murat Cetinbas, Joshua Wilkie |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0407036 |
| URL | https://arxiv.org/abs/quant-ph/0407036 |
Abstract
We show that any non-relativistic quantum N-body dynamics problem with pairwise interactions can be exactly reformulated in terms of N well behaved 1-body stochastic density equations. Specifically, the time evolving N-body density matrix is written as an average of tensor products of 1-body densities each of which obeys a stochastic evolution equation. Such decompositions can be constructed for any mixture of fermions and bosons. The evolution equations for the 1-body densities preserve norm, Hermiticity and positivity.
{
"annotation_id": "9cafbc04-490c-4bbe-997e-7aa799cfd2bb",
"date_created": "2026-03-02T18:02:09.949000Z",
"date_modified": "2026-03-02T18:02:09.949000Z",
"file_hash": "5689297d33e3cb25130eddb102e506c29c6544a7c44735aa64028a3e1b82a5c9",
"private": false,
"record": {
"abstract": "We show that any non-relativistic quantum N-body dynamics problem with\npairwise interactions can be exactly reformulated in terms of N well behaved\n1-body stochastic density equations. Specifically, the time evolving N-body\ndensity matrix is written as an average of tensor products of 1-body densities\neach of which obeys a stochastic evolution equation. Such decompositions can be\nconstructed for any mixture of fermions and bosons. The evolution equations for\nthe 1-body densities preserve norm, Hermiticity and positivity.",
"arxiv_id": "quant-ph/0407036",
"authors": [
"Murat Cetinbas",
"Joshua Wilkie"
],
"categories": [
"quant-ph"
],
"title": "Exact Stochastic Reformulation of Non-Relativistic Quantum Dynamics",
"url": "https://arxiv.org/abs/quant-ph/0407036"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "b23c9200-0817-4757-b399-0e174ace3756",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}