On noise-resolution uncertainty in quantum field theory

Abstract An uncertainty inequality is presented that establishes a lower limit for the product of the variance of the time-averaged intensity of a mode of a quantized electromagnetic field and the degree of its spatial localization. The lower limit is determined by the vacuum fluctuations within the...

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Autores principales:	Timur E. Gureyev, Alexander Kozlov, Yakov I. Nesterets, David M. Paganin, Harry M. Quiney
Formato:	article
Lenguaje:	EN
Publicado:	Nature Portfolio 2017
Materias:	Medicine R Science Q
Acceso en línea:	https://doaj.org/article/bc7303461ef54849a924bdd4d435a116
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spelling	oai:doaj.org-article:bc7303461ef54849a924bdd4d435a1162021-12-02T11:52:29ZOn noise-resolution uncertainty in quantum field theory10.1038/s41598-017-04834-y2045-2322https://doaj.org/article/bc7303461ef54849a924bdd4d435a1162017-07-01T00:00:00Zhttps://doi.org/10.1038/s41598-017-04834-yhttps://doaj.org/toc/2045-2322Abstract An uncertainty inequality is presented that establishes a lower limit for the product of the variance of the time-averaged intensity of a mode of a quantized electromagnetic field and the degree of its spatial localization. The lower limit is determined by the vacuum fluctuations within the volume corresponding to the width of the mode. This result also leads to a generalized form of the Heisenberg uncertainty principle for boson fields in which the lower limit for the product of uncertainties in the spatial and momentum localization of a mode is equal to the product of Planck’s constant and a dimensionless functional which reflects the joint signal-to-noise ratio of the position and momentum of vacuum fluctuations in the region of the phase space occupied by the mode. Experimental X-ray synchrotron measurements provide an initial verification of the proposed theory in the case of Poisson statistics.Timur E. GureyevAlexander KozlovYakov I. NesteretsDavid M. PaganinHarry M. QuineyNature PortfolioarticleMedicineRScienceQENScientific Reports, Vol 7, Iss 1, Pp 1-7 (2017)
institution	DOAJ
collection	DOAJ
language	EN
topic	Medicine R Science Q
spellingShingle	Medicine R Science Q Timur E. Gureyev Alexander Kozlov Yakov I. Nesterets David M. Paganin Harry M. Quiney On noise-resolution uncertainty in quantum field theory
description	Abstract An uncertainty inequality is presented that establishes a lower limit for the product of the variance of the time-averaged intensity of a mode of a quantized electromagnetic field and the degree of its spatial localization. The lower limit is determined by the vacuum fluctuations within the volume corresponding to the width of the mode. This result also leads to a generalized form of the Heisenberg uncertainty principle for boson fields in which the lower limit for the product of uncertainties in the spatial and momentum localization of a mode is equal to the product of Planck’s constant and a dimensionless functional which reflects the joint signal-to-noise ratio of the position and momentum of vacuum fluctuations in the region of the phase space occupied by the mode. Experimental X-ray synchrotron measurements provide an initial verification of the proposed theory in the case of Poisson statistics.
format	article
author	Timur E. Gureyev Alexander Kozlov Yakov I. Nesterets David M. Paganin Harry M. Quiney
author_facet	Timur E. Gureyev Alexander Kozlov Yakov I. Nesterets David M. Paganin Harry M. Quiney
author_sort	Timur E. Gureyev
title	On noise-resolution uncertainty in quantum field theory
title_short	On noise-resolution uncertainty in quantum field theory
title_full	On noise-resolution uncertainty in quantum field theory
title_fullStr	On noise-resolution uncertainty in quantum field theory
title_full_unstemmed	On noise-resolution uncertainty in quantum field theory
title_sort	on noise-resolution uncertainty in quantum field theory
publisher	Nature Portfolio
publishDate	2017
url	https://doaj.org/article/bc7303461ef54849a924bdd4d435a116
work_keys_str_mv	AT timuregureyev onnoiseresolutionuncertaintyinquantumfieldtheory AT alexanderkozlov onnoiseresolutionuncertaintyinquantumfieldtheory AT yakovinesterets onnoiseresolutionuncertaintyinquantumfieldtheory AT davidmpaganin onnoiseresolutionuncertaintyinquantumfieldtheory AT harrymquiney onnoiseresolutionuncertaintyinquantumfieldtheory
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On noise-resolution uncertainty in quantum field theory

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