Heisenberg's uncertainty relation: Violation and reformulation

Emergent Quantum Mechanics 2013

物理学;力学

Ozawa, Masanao^1

Graduate School of Information Science, Nagoya University, Nagoya Chikusa-ku, 464-8601, Japan^1

关键词: Gravitational wave detectors;    Heisenberg;    Heisenberg's uncertainty;    Limit sets;    Planck's constants;    Sensitivity limit;    Trade off;    Uncertainty relation;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/504/1/012024/pdf
DOI  :  10.1088/1742-6596/504/1/012024

学科分类：力学，机械学

来源: IOP

【 摘 要 】

The uncertainty relation formulated by Heisenberg in 1927 describes a trade-off between the error of a measurement of one observable and the disturbance caused on another complementary observable so that their product should be no less than a limit set by Planck's constant. In 1980, Braginsky, Vorontsov, and Thorne claimed that this relation leads to a sensitivity limit for gravitational wave detectors. However, in 1988 a model of position measurement was constructed that breaks both this limit and Heisenberg's relation. Here, we discuss the problems as to how we reformulate Heisenberg's relation to be universally valid and how we experimentally quantify the error and the disturbance to refute the old relation and to confirm the new relation.