Internal Structure of the Heisenberg and Robertson-Schrodinger Uncertainty Relations
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F13%3A10173454" target="_blank" >RIV/00216208:11320/13:10173454 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1007/s10773-013-1640-1" target="_blank" >http://dx.doi.org/10.1007/s10773-013-1640-1</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s10773-013-1640-1" target="_blank" >10.1007/s10773-013-1640-1</a>
Alternative languages
Result language
angličtina
Original language name
Internal Structure of the Heisenberg and Robertson-Schrodinger Uncertainty Relations
Original language description
It is known that the Heisenberg and Robertson-Schrodinger uncertainty relations can be replaced by sharper uncertainty relations in which the "classical" (depending on the gradient of the phase of the wave function) and "quantum" (depending on the gradient of the envelope of the wave function) parts of the variances <(Delta x)^2> and a<(Delta p)(2)> are separated. In this paper, three types of uncertainty relations for a different number of classical parts (2, 1 or 0) with different time behaviour of their left-hand and right-hand sides are discussed. For the Gaussian wave packet and two classical parts, the left-hand side of the corresponding relations increases for t -> infinity as t ^2 and is much larger than hbar^2/4. For one classical part, the left-hand side of the corresponding relation goes to the right-hand side equal to hbar^2/4. For no classical part, both the right-hand and left-hand sides of the corresponding relation go quickly to zero. Therefore, the well-known limitatio
Czech name
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Czech description
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Classification
Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BE - Theoretical physics
OECD FORD branch
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Result continuities
Project
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Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Others
Publication year
2013
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
International Journal of Theoretical Physics
ISSN
0020-7748
e-ISSN
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Volume of the periodical
52
Issue of the periodical within the volume
10
Country of publishing house
US - UNITED STATES
Number of pages
12
Pages from-to
3393-3404
UT code for WoS article
000324099800004
EID of the result in the Scopus database
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