dorsal/arxiv
View SchemaThe Arrow of Time in Rigged Hilbert Space Quantum Mechanics
| Authors | Robert C. Bishop |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0506184 |
| URL | https://arxiv.org/abs/quant-ph/0506184 |
Abstract
Arno Bohm and Ilya Prigogine's Brussels-Austin Group have been working on the quantum mechanical arrow of time and irreversibility in rigged Hilbert space quantum mechanics. A crucial notion in Bohm's approach is the so-called preparation/registration arrow. An analysis of this arrow and its role in Bohm's theory of scattering is given. Similarly, the Brussels-Austin Group uses an excitation/de-excitation arrow for ordering events, which is also analyzed. The relationship between the two approaches is initially discussed focusing on their semi-group operators and time arrows. Finally a possible realist interpretation of the rigged Hilbert space formulation of quantum mechanics is considered.
{
"annotation_id": "1edeeb8a-be25-412f-a19b-904c1bec1e38",
"date_created": "2026-03-02T18:02:17.266000Z",
"date_modified": "2026-03-02T18:02:17.266000Z",
"file_hash": "584386ce9b15d6bb89c98c816da089282cf7eabc3f8e93652c80b707b38e6bb3",
"private": false,
"record": {
"abstract": "Arno Bohm and Ilya Prigogine\u0027s Brussels-Austin Group have been working on the\nquantum mechanical arrow of time and irreversibility in rigged Hilbert space\nquantum mechanics. A crucial notion in Bohm\u0027s approach is the so-called\npreparation/registration arrow. An analysis of this arrow and its role in\nBohm\u0027s theory of scattering is given. Similarly, the Brussels-Austin Group uses\nan excitation/de-excitation arrow for ordering events, which is also analyzed.\nThe relationship between the two approaches is initially discussed focusing on\ntheir semi-group operators and time arrows. Finally a possible realist\ninterpretation of the rigged Hilbert space formulation of quantum mechanics is\nconsidered.",
"arxiv_id": "quant-ph/0506184",
"authors": [
"Robert C. Bishop"
],
"categories": [
"quant-ph"
],
"title": "The Arrow of Time in Rigged Hilbert Space Quantum Mechanics",
"url": "https://arxiv.org/abs/quant-ph/0506184"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "a64b43e0-81f8-4dd5-9be0-3157777a48c3",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}