Geometric derivation of quantum uncertainty
arXiv:0710.5504 · doi:10.1016/j.physleta.2007.09.038
Abstract
Quantum observables can be identified with vector fields on the sphere of normalized states. Consequently, the uncertainty relations for quantum observables become geometric statements. In the Letter the familiar uncertainty relation follows from the following stronger statement: Of all parallelograms with given sides the rectangle has the largest area.
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