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American Journal of Physics -- July 1979 -- Volume 47, Issue 7, pp. 606

New mathematical proof of the uncertainty relation

David N. Williams

Randall Laboratory of Physics, The University of Michigan, Ann Arbor, Michigan 48109

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Abstract

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We present a new proof of the uncertainty relation for wave functions that are absolutely integrable and have absolutely integrable Fourier transforms.

KEYWORDS and PACS

Keywords

UNCERTAINTY PRINCIPLE, MATHEMATICS, WAVE FUNCTIONS, FOURIER TRANSFORMS, COMMUTATION RELATIONS, CANONICAL DIMENSION, INTERFERENCE

PACS

03.65.Ta

Foundations of quantum mechanics; measurement theory
02.30.-f

Function theory, analysis

PUBLICATION DATA

ISSN:

0002-9505 (print)

ARTICLE DATA

Permalink

http://dx.doi.org/10.1119/1.11763

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