Geometric derivation of quantum uncertainty

Publication Year:
2007
Usage 327
Downloads 327
Repository URL:
http://philsci-archive.pitt.edu/id/eprint/4229
Author(s):
Kryukov, Alexey
preprint description
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.