Physical content of Heisenberg's uncertainty relation: Limitation and reformulation

Details Physical content of Heisenberg's uncertainty relation: Limitation and reformulation Physical content of Heisenberg's uncertainty relation: Limitation and reformulation

2002-10-07

arxiv.org/abs/quant-ph/0210044v2

Phys. Lett. A 318, 21--29 (2003).

Physics

Quantum Physics

7 pages, REVTEX. Revised with adding discussions. Title and Abstract are changed

Scientific paper

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.

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