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Geometric derivation of quantum uncertainty

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

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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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    Item Type: Preprint
    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 11:17
    Item ID: 4229
    URI: http://philsci-archive.pitt.edu/id/eprint/4229

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