Quantum probabilities for time-extended measurements
量子物理
2015-06-26 v1
摘要
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.
引用
@article{arxiv.quant-ph/0609021,
title = {Quantum probabilities for time-extended measurements},
author = {C. Anastopoulos and N. Savvidou},
journal= {arXiv preprint arXiv:quant-ph/0609021},
year = {2015}
}
备注
17 pages, latex