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Proceedings of the National Academy of Sciences of the United States of America logoLink to Proceedings of the National Academy of Sciences of the United States of America
. 1976 Feb;73(2):283–285. doi: 10.1073/pnas.73.2.283

On the lifetime-width relation for a decaying state and the uncertainty principle

M Bauer 1, P A Mello 1
PMCID: PMC335890  PMID: 16578738

Abstract

A new formulation of the uncertainty relation of position and momentum, and of energy and time, is presented. The connection between the lifetime of excited states and the energy width of these states, which does not follow from the usual uncertainty relation, is shown to be a consequence of the expression here derived.

Keywords: decay law, line shape, characteristic time, equivalent width, time coherence

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