Approximate recalculation of the alpha(Z alpha)(5) contribution to the self-energy effect on hydrogenic states with a multipole expansion

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F13%3A10132404" target="_blank" >RIV/00216208:11320/13:10132404 - isvavai.cz</a>

Výsledek na webu

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DOI - Digital Object Identifier

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Jazyk výsledku

angličtina

Název v původním jazyce

Approximate recalculation of the alpha(Z alpha)(5) contribution to the self-energy effect on hydrogenic states with a multipole expansion

Popis výsledku v původním jazyce

A contribution of virtual electron states with large wave numbers to the self-energy of an electron bound in the weak Coulomb field is analyzed in the context of the evaluation method suggested in the previous paper. The contribution is of the order alpha(Z alpha)(5). The same value for this contribution is found here as the one found in the previous calculations using different evaluation methods. When we add the remaining terms of the order alpha(Z alpha)(5) to the calculation of the self-energy effect in hydrogen-like ions presented in the previous paper we find a very good agreement with numerical evaluations. The relative difference between present and numerical evaluations ranges from 2 parts in 10(6) for Z = 1 up to 6 parts in 10(4) for Z = 10.

Název v anglickém jazyce

Approximate recalculation of the alpha(Z alpha)(5) contribution to the self-energy effect on hydrogenic states with a multipole expansion

Popis výsledku anglicky

A contribution of virtual electron states with large wave numbers to the self-energy of an electron bound in the weak Coulomb field is analyzed in the context of the evaluation method suggested in the previous paper. The contribution is of the order alpha(Z alpha)(5). The same value for this contribution is found here as the one found in the previous calculations using different evaluation methods. When we add the remaining terms of the order alpha(Z alpha)(5) to the calculation of the self-energy effect in hydrogen-like ions presented in the previous paper we find a very good agreement with numerical evaluations. The relative difference between present and numerical evaluations ranges from 2 parts in 10(6) for Z = 1 up to 6 parts in 10(4) for Z = 10.

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

<a href="/cs/project/GAP205%2F10%2F0228" target="_blank" >GAP205/10/0228: Struktura a dynamika bioinorganických komplexů</a><br>

Návaznosti

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Rok uplatnění

2013

Kód důvěrnosti údajů

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

Název periodika

Annals of Physics

ISSN

0003-4916

e-ISSN

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Svazek periodika

328

Číslo periodika v rámci svazku

January 2013

Stát vydavatele periodika

US - Spojené státy americké

Počet stran výsledku

19

Strana od-do

139-157

Kód UT WoS článku

000313767000006

EID výsledku v databázi Scopus

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