Mathematical Uncertainty Relations and their Generalization for Multiple Incompatible Observables

We show that the famous Heisenberg uncertainty relation for two incompatible observables can be generalized elegantly to the determinant form for N arbitrary observables. To achieve this purpose, we propose a generalization of the Cauchy-Schwarz inequality for two sets of vectors. Simple consequence...

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Main Authors:	Nguyen, Quang Hung, Bui, Quang Tu
Format:	Article
Language:	English
Published:	H. : ĐHQGHN 2017
Subjects:	Generalized uncertainty relation Generalized uncertainty principle Generalized Cauchy-Schwarz inequality
Online Access:	http://repository.vnu.edu.vn/handle/VNU_123/55399
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Institution:	Vietnam National University, Hanoi
Language:	English

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spelling	oai:112.137.131.14:VNU_123-553992018-08-02T08:33:35Z Mathematical Uncertainty Relations and their Generalization for Multiple Incompatible Observables Nguyen, Quang Hung Bui, Quang Tu Generalized uncertainty relation Generalized uncertainty principle Generalized Cauchy-Schwarz inequality We show that the famous Heisenberg uncertainty relation for two incompatible observables can be generalized elegantly to the determinant form for N arbitrary observables. To achieve this purpose, we propose a generalization of the Cauchy-Schwarz inequality for two sets of vectors. Simple consequences of the N-ary uncertainty relation are also discussed. 2017-08-04T04:26:13Z 2017-08-04T04:26:13Z 2017 Article Bui, Quang Tu. (2017). Mathematical Uncertainty Relations and their Generalization for Multiple Incompatible Observables. VNU Journal of Science, Mathematics- Physics, 33, 1, 29-34. 2588-1124 http://repository.vnu.edu.vn/handle/VNU_123/55399 en Journal of Mathematics- Physics application/pdf H. : ĐHQGHN
institution	Vietnam National University, Hanoi
building	VNU Library & Information Center
country	Vietnam
collection	VNU Digital Repository
language	English
topic	Generalized uncertainty relation Generalized uncertainty principle Generalized Cauchy-Schwarz inequality
spellingShingle	Generalized uncertainty relation Generalized uncertainty principle Generalized Cauchy-Schwarz inequality Nguyen, Quang Hung Bui, Quang Tu Mathematical Uncertainty Relations and their Generalization for Multiple Incompatible Observables
description	We show that the famous Heisenberg uncertainty relation for two incompatible observables can be generalized elegantly to the determinant form for N arbitrary observables. To achieve this purpose, we propose a generalization of the Cauchy-Schwarz inequality for two sets of vectors. Simple consequences of the N-ary uncertainty relation are also discussed.
format	Article
author	Nguyen, Quang Hung Bui, Quang Tu
author_facet	Nguyen, Quang Hung Bui, Quang Tu
author_sort	Nguyen, Quang Hung
title	Mathematical Uncertainty Relations and their Generalization for Multiple Incompatible Observables
title_short	Mathematical Uncertainty Relations and their Generalization for Multiple Incompatible Observables
title_full	Mathematical Uncertainty Relations and their Generalization for Multiple Incompatible Observables
title_fullStr	Mathematical Uncertainty Relations and their Generalization for Multiple Incompatible Observables
title_full_unstemmed	Mathematical Uncertainty Relations and their Generalization for Multiple Incompatible Observables
title_sort	mathematical uncertainty relations and their generalization for multiple incompatible observables
publisher	H. : ĐHQGHN
publishDate	2017
url	http://repository.vnu.edu.vn/handle/VNU_123/55399
_version_	1680963110950666240

Mathematical Uncertainty Relations and their Generalization for Multiple Incompatible Observables

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