Geometric derivation of quantum uncertainty
Quantum Physics
2009-11-13 v1 Mathematical Physics
math.MP
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.
Cite
@article{arxiv.0710.5504,
title = {Geometric derivation of quantum uncertainty},
author = {Alexey A. Kryukov},
journal= {arXiv preprint arXiv:0710.5504},
year = {2009}
}
Comments
see http://depts.uwc.edu/math/faculty/kryukov/ for related papers