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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

  • Czech description

Classification

  • Type

    J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

  • CEP classification

    BE - Theoretical physics

  • OECD FORD branch

Result continuities

  • Project

  • 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

  • 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