dorsal/arxiv
View SchemaConsistent Histories and Operational Quantum Physics
| Authors | Oliver Rudolph |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9512024 |
| URL | https://arxiv.org/abs/quant-ph/9512024 |
| DOI | 10.1007/BF02302260 |
| Journal | Int. J. Theor. Phys. 35 (1996) 1581 |
Abstract
In this work a generalization of the consistent histories approach to quantum mechanics is presented. We first critically review the consistent histories approach to nonrelativistic quantum mechanics in a mathematically rigorous way and give some general comments about it. We investigate to what extent the consistent histories scheme is compatible with the results of the operational formulation of quantum mechanics. According to the operational approach nonrelativistic quantum mechanics is most generally formulated in terms of effects, states and operations. We formulate a generalized consistent histories theory using the concepts and the terminology which have proven useful in the operational formulation of quantum mechanics. The logical rule of the logical interpretation of quantum mechanics is generalized to the present context. The algebraic structure of the generalized theory is studied in detail.
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"abstract": "In this work a generalization of the consistent histories approach to quantum\nmechanics is presented. We first critically review the consistent histories\napproach to nonrelativistic quantum mechanics in a mathematically rigorous way\nand give some general comments about it. We investigate to what extent the\nconsistent histories scheme is compatible with the results of the operational\nformulation of quantum mechanics. According to the operational approach\nnonrelativistic quantum mechanics is most generally formulated in terms of\neffects, states and operations. We formulate a generalized consistent histories\ntheory using the concepts and the terminology which have proven useful in the\noperational formulation of quantum mechanics. The logical rule of the logical\ninterpretation of quantum mechanics is generalized to the present context. The\nalgebraic structure of the generalized theory is studied in detail.",
"arxiv_id": "quant-ph/9512024",
"authors": [
"Oliver Rudolph"
],
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"quant-ph"
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"doi": "10.1007/BF02302260",
"journal_ref": "Int. J. Theor. Phys. 35 (1996) 1581",
"title": "Consistent Histories and Operational Quantum Physics",
"url": "https://arxiv.org/abs/quant-ph/9512024"
},
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