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Geometric derivation of quantum uncertainty

Kryukov, Alexey (2007) Geometric derivation of quantum uncertainty. [Preprint]


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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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Item Type: Preprint
Kryukov, Alexey
Additional Information: Published in Physics Letters A 370 (2007) 419
Keywords: uncertainty principle, geometric quantum mechanics
Subjects: Specific Sciences > Physics > Quantum Mechanics
Depositing User: Alexey Kryukov
Date Deposited: 13 Oct 2008
Last Modified: 07 Oct 2010 15:17
Item ID: 4229

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