dorsal/arxiv
View SchemaOn the Consistent Effect Histories Approach to Quantum Mechanics
| Authors | Oliver Rudolph |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9605037 |
| URL | https://arxiv.org/abs/quant-ph/9605037 |
| DOI | 10.1063/1.531709 |
| Journal | J.Math.Phys. 37 (1996) 5368-5379 |
Abstract
A formulation of the consistent histories approach to quantum mechanics in terms of generalized observables (POV measures) and effect operators is provided. The usual notion of `history' is generalized to the notion of `effect history'. The space of effect histories carries the structure of a D-poset. Recent results of J.D. Maitland Wright imply that every decoherence functional defined for ordinary histories can be uniquely extended to a bi-additive decoherence functional on the space of effect histories. Omnes' logical interpretation is generalized to the present context. The result of this work considerably generalizes and simplifies the earlier formulation of the consistent effect histories approach to quantum mechanics communicated in a previous work of this author.
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"abstract": "A formulation of the consistent histories approach to quantum mechanics in\nterms of generalized observables (POV measures) and effect operators is\nprovided. The usual notion of `history\u0027 is generalized to the notion of `effect\nhistory\u0027. The space of effect histories carries the structure of a D-poset.\nRecent results of J.D. Maitland Wright imply that every decoherence functional\ndefined for ordinary histories can be uniquely extended to a bi-additive\ndecoherence functional on the space of effect histories. Omnes\u0027 logical\ninterpretation is generalized to the present context. The result of this work\nconsiderably generalizes and simplifies the earlier formulation of the\nconsistent effect histories approach to quantum mechanics communicated in a\nprevious work of this author.",
"arxiv_id": "quant-ph/9605037",
"authors": [
"Oliver Rudolph"
],
"categories": [
"quant-ph"
],
"doi": "10.1063/1.531709",
"journal_ref": "J.Math.Phys. 37 (1996) 5368-5379",
"title": "On the Consistent Effect Histories Approach to Quantum Mechanics",
"url": "https://arxiv.org/abs/quant-ph/9605037"
},
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