dorsal/arxiv
View SchemaA modal-Hamiltonian interpretation of quantum mechanics
| Authors | Olimpia Lombardi, Mario Castagnino |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0610121 |
| URL | https://arxiv.org/abs/quant-ph/0610121 |
Abstract
The aim of this paper is to introduce a new member of the family of the modal interpretations of quantum mechanics. In this modal-Hamiltonian interpretation, the Hamiltonian of the quantum system plays a decisive role in the property-ascription rule that selects the definite-valued observables whose possible values become actual. We show that this interpretation is effective for solving the measurement problem, both in its ideal and its non-ideal versions, and we argue for the physical relevance of the property-ascription rule by applying it to well-known physical situations. Moreover, we explain how this interpretation supplies a description of the elemental categories of the ontology referred to by the theory, where quantum systems turn out to be bundles of possible properties.
{
"annotation_id": "141ef46f-89d4-42cf-8fd3-34179b67cbb5",
"date_created": "2026-03-02T18:02:31.207000Z",
"date_modified": "2026-03-02T18:02:31.207000Z",
"file_hash": "9c40d8e044884ddc6e27fc4595b62acf339c8b1ce220dea518d101eca22fe0cf",
"private": false,
"record": {
"abstract": "The aim of this paper is to introduce a new member of the family of the modal\ninterpretations of quantum mechanics. In this modal-Hamiltonian interpretation,\nthe Hamiltonian of the quantum system plays a decisive role in the\nproperty-ascription rule that selects the definite-valued observables whose\npossible values become actual. We show that this interpretation is effective\nfor solving the measurement problem, both in its ideal and its non-ideal\nversions, and we argue for the physical relevance of the property-ascription\nrule by applying it to well-known physical situations. Moreover, we explain how\nthis interpretation supplies a description of the elemental categories of the\nontology referred to by the theory, where quantum systems turn out to be\nbundles of possible properties.",
"arxiv_id": "quant-ph/0610121",
"authors": [
"Olimpia Lombardi",
"Mario Castagnino"
],
"categories": [
"quant-ph"
],
"title": "A modal-Hamiltonian interpretation of quantum mechanics",
"url": "https://arxiv.org/abs/quant-ph/0610121"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "82c4c395-4436-4d13-bd1b-90f04008784e",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}