dorsal/arxiv
View SchemaQuantum probabilities for time-extended measurements
| Authors | C. Anastopoulos, N. Savvidou |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0609021 |
| URL | https://arxiv.org/abs/quant-ph/0609021 |
| DOI | 10.1063/1.2713078 |
| Journal | J. Math. Phys. 48, 032106 (2007). |
Abstract
We study the probability assignment for the outcomes of time-extended measurements. We construct the class-operator that incorporates the information about a generic time-smeared quantity. These class-operators are employed for the construction of Positive-Operator-Valued-Measures for the time-averaged quantities. The scheme highlights the distinction between velocity and momentum in quantum theory. Propositions about velocity and momentum are represented by different class-operators, hence they define different probability measures. We provide some examples, we study the classical limit and we construct probabilities for generalized time-extended phase space variables.
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"abstract": "We study the probability assignment for the outcomes of time-extended\nmeasurements. We construct the class-operator that incorporates the information\nabout a generic time-smeared quantity. These class-operators are employed for\nthe construction of Positive-Operator-Valued-Measures for the time-averaged\nquantities. The scheme highlights the distinction between velocity and momentum\nin quantum theory. Propositions about velocity and momentum are represented by\ndifferent class-operators, hence they define different probability measures. We\nprovide some examples, we study the classical limit and we construct\nprobabilities for generalized time-extended phase space variables.",
"arxiv_id": "quant-ph/0609021",
"authors": [
"C. Anastopoulos",
"N. Savvidou"
],
"categories": [
"quant-ph"
],
"doi": "10.1063/1.2713078",
"journal_ref": "J. Math. Phys. 48, 032106 (2007).",
"title": "Quantum probabilities for time-extended measurements",
"url": "https://arxiv.org/abs/quant-ph/0609021"
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