Geometric derivation of quantum uncertainty

Alexey A. Kryukov

doi:10.1016/j.physleta.2007.09.038

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arXiv · 0710.5504

Geometric derivation of quantum uncertainty

Alexey A. Kryukov

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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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Alexey A. Kryukov. 2007-10-29. Geometric derivation of quantum uncertainty. https://doi.org/10.1016/j.physleta.2007.09.038

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