dorsal/arxiv
View SchemaQuantum Schroedinger bridges
| Authors | Michele Pavon |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0306052 |
| URL | https://arxiv.org/abs/quant-ph/0306052 |
| Journal | in Directions in Mathematical Systems Theory and Optimization, A. Rantzer and C. I. Byrnes Eds., Springer-Verlag, 2002, 227-238. Theory and Optimization, A. Rantzer and C. I. Byrnes Eds., Springer-Verlag, 2002, 227-238 |
Abstract
Elaborating on M. Pavon, J.Math. Phys. 40 (1999), 5565-5577, we develop a simplified version of a variational principle within Nelson stochastic mechanics that produces the von Neumann wave packet reduction after a position measurement. This stochastic control problem parallels, with a different kinematics, the problem of the Schroedinger bridge. This gives a profound meaning to what was observed by Schroedinger in 1931 concerning Schroedinger bridges: "Merkwuerdige Analogien zur Quantenmechanik, die mir sehr des Hindenkens wert erscheinen".
{
"annotation_id": "ab42ca4f-ebdc-47da-8d6b-a7fe4c1dce1e",
"date_created": "2026-03-02T18:01:59.869000Z",
"date_modified": "2026-03-02T18:01:59.869000Z",
"file_hash": "d45731999f6fe5589ee4d4aa1edcdcac98b6542382cb43c89a3873cd045fa944",
"private": false,
"record": {
"abstract": "Elaborating on M. Pavon, J.Math. Phys. 40 (1999), 5565-5577, we develop a\nsimplified version of a variational principle within Nelson stochastic\nmechanics that produces the von Neumann wave packet reduction after a position\nmeasurement. This stochastic control problem parallels, with a different\nkinematics, the problem of the Schroedinger bridge. This gives a profound\nmeaning to what was observed by Schroedinger in 1931 concerning Schroedinger\nbridges: \"Merkwuerdige Analogien zur Quantenmechanik, die mir sehr des\nHindenkens wert erscheinen\".",
"arxiv_id": "quant-ph/0306052",
"authors": [
"Michele Pavon"
],
"categories": [
"quant-ph"
],
"journal_ref": "in Directions in Mathematical Systems Theory and Optimization, A.\n Rantzer and C. I. Byrnes Eds., Springer-Verlag, 2002, 227-238. Theory and\n Optimization, A. Rantzer and C. I. Byrnes Eds., Springer-Verlag, 2002,\n 227-238",
"title": "Quantum Schroedinger bridges",
"url": "https://arxiv.org/abs/quant-ph/0306052"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "7cb7ffad-25e0-47b6-916d-f7e583f54ded",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}