dorsal/arxiv
View SchemaQuantum Mechanics without Waves: a Generalization of Classical Statistical Mechanics
| Authors | Marcello Cini |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9807001 |
| URL | https://arxiv.org/abs/quant-ph/9807001 |
| DOI | 10.1006/aphy.1998.5892 |
| Journal | Annals Phys. 273 (1999) 99-113 |
Abstract
We generalize classical statistical mechanics to describe the kinematics and the dynamics of systems whose variables are constrained by a single quantum postulate (discreteness of the spectrum of values of at least one variable of the theory). This is possible provided we adopt Feynman's suggestion of dropping the assumption that the probability for an event must always be a positive number. This approach has the advantage of allowing a reformulation of quantum theory in phase space without introducing the unphysical concept of probability amplitudes, together with all the problems concerning their ambiguous properties.
{
"annotation_id": "eee057a9-ea95-4d14-8ce0-985759590e96",
"date_created": "2026-03-02T18:02:45.246000Z",
"date_modified": "2026-03-02T18:02:45.246000Z",
"file_hash": "417bf6ac5ddd1cfa2ae9cb6e4781320625f29235eee77819043d68274fde3840",
"private": false,
"record": {
"abstract": "We generalize classical statistical mechanics to describe the kinematics and\nthe dynamics of systems whose variables are constrained by a single quantum\npostulate (discreteness of the spectrum of values of at least one variable of\nthe theory). This is possible provided we adopt Feynman\u0027s suggestion of\ndropping the assumption that the probability for an event must always be a\npositive number. This approach has the advantage of allowing a reformulation of\nquantum theory in phase space without introducing the unphysical concept of\nprobability amplitudes, together with all the problems concerning their\nambiguous properties.",
"arxiv_id": "quant-ph/9807001",
"authors": [
"Marcello Cini"
],
"categories": [
"quant-ph",
"cond-mat",
"hep-th",
"math-ph",
"math.MP"
],
"doi": "10.1006/aphy.1998.5892",
"journal_ref": "Annals Phys. 273 (1999) 99-113",
"title": "Quantum Mechanics without Waves: a Generalization of Classical Statistical Mechanics",
"url": "https://arxiv.org/abs/quant-ph/9807001"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "a4dc14a8-ef83-424f-8172-dc0af16d7304",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}