Do the Robertson-SCHR\"{O}DINGER and the Heisenberg Uncertainty Relations Imply a General Physical Principle ?

It is explicitly shown that there exist physical states (normalized to 1) in which the Robertson- Schr\"{o}dinger and Heisenberg uncertainty relations are invalid, namely, the mean values of the physical operators are infinite. Consequently, these relations cannot imply a general physical princ...

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Autor principal: Vinh Quang, N
Lenguaje:eng
Publicado: 2002
Materias:
General Theoretical Physics
Acceso en línea:http://cds.cern.ch/record/598641
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author Vinh Quang, N
author_facet Vinh Quang, N
author_sort Vinh Quang, N
collection CERN
description It is explicitly shown that there exist physical states (normalized to 1) in which the Robertson- Schr\"{o}dinger and Heisenberg uncertainty relations are invalid, namely, the mean values of the physical operators are infinite. Consequently, these relations cannot imply a general physical principle. The explanation by the theory of functional analysis is given : for these states even the definition of the uncertainty notion through the dispersion notion in the probability theory is irrelevant.
id cern-598641
institution Organización Europea para la Investigación Nuclear
language eng
publishDate 2002
record_format invenio
spelling cern-5986412019-09-30T06:29:59Zhttp://cds.cern.ch/record/598641engVinh Quang, NDo the Robertson-SCHR\"{O}DINGER and the Heisenberg Uncertainty Relations Imply a General Physical Principle ?General Theoretical PhysicsIt is explicitly shown that there exist physical states (normalized to 1) in which the Robertson- Schr\"{o}dinger and Heisenberg uncertainty relations are invalid, namely, the mean values of the physical operators are infinite. Consequently, these relations cannot imply a general physical principle. The explanation by the theory of functional analysis is given : for these states even the definition of the uncertainty notion through the dispersion notion in the probability theory is irrelevant.quant-ph/0212145oai:cds.cern.ch:5986412002-12-27
spellingShingle General Theoretical Physics
Vinh Quang, N
Do the Robertson-SCHR\"{O}DINGER and the Heisenberg Uncertainty Relations Imply a General Physical Principle ?
title Do the Robertson-SCHR\"{O}DINGER and the Heisenberg Uncertainty Relations Imply a General Physical Principle ?
title_full Do the Robertson-SCHR\"{O}DINGER and the Heisenberg Uncertainty Relations Imply a General Physical Principle ?
title_fullStr Do the Robertson-SCHR\"{O}DINGER and the Heisenberg Uncertainty Relations Imply a General Physical Principle ?
title_full_unstemmed Do the Robertson-SCHR\"{O}DINGER and the Heisenberg Uncertainty Relations Imply a General Physical Principle ?
title_short Do the Robertson-SCHR\"{O}DINGER and the Heisenberg Uncertainty Relations Imply a General Physical Principle ?
title_sort do the robertson-schr\"{o}dinger and the heisenberg uncertainty relations imply a general physical principle ?
topic General Theoretical Physics
url http://cds.cern.ch/record/598641
work_keys_str_mv AT vinhquangn dotherobertsonschrodingerandtheheisenberguncertaintyrelationsimplyageneralphysicalprinciple

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