Internal Structure of the Heisenberg and Robertson-Schrodinger Uncertainty Relations

Kód výsledku v 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>

Výsledek na webu

<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>

Jazyk výsledku

angličtina

Název v původním jazyce

Internal Structure of the Heisenberg and Robertson-Schrodinger Uncertainty Relations

Popis výsledku v původním jazyce

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

Název v anglickém jazyce

Internal Structure of the Heisenberg and Robertson-Schrodinger Uncertainty Relations

Popis výsledku anglicky

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

Druh

J_x - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)

CEP obor

BE - Teoretická fyzika

OECD FORD obor

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Projekt

—

Návaznosti

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Rok uplatnění

2013

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název periodika

International Journal of Theoretical Physics

ISSN

0020-7748

e-ISSN

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Svazek periodika

52

Číslo periodika v rámci svazku

10

Stát vydavatele periodika

US - Spojené státy americké

Počet stran výsledku

12

Strana od-do

3393-3404

Kód UT WoS článku

000324099800004

EID výsledku v databázi Scopus

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