Physical content of Heisenberg’s uncertainty relation: limitation and reformulation. (English) Zbl 1098.81747
Summary: Heisenberg’s reciprocal relation between position measurement error and momentum disturbance is rigorously proven under the assumption that those error and disturbance are independent of the state of the measured object. A generalization of Heisenberg’s relation proven valid for arbitrary measurements is proposed and reveals two distinct types of possible violations of Heisenberg’s relation.
MSC:
| 81P15 | Quantum measurement theory, state operations, state preparations |
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