About: Self-energy of a bound electron for excited states

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rdf:type	skos:Concept http://linked.opendata.cz/ontology/domain/vavai/Vysledek
rdfs:seeAlso	http://dx.doi.org/10.1103/PhysRevA.86.042514
Description	The method for the evaluation of the self-energy of bound electron is proposed. The integration over four-momenta of virtual photons is done in a way that preserves manifest Lorentz invariance. The resulting expression can then be decomposed into high-and low-energy parts in a Lorentz invariant fashion. The high-energy part depends only on the behavior of the wave function of the reference state in the immediate vicinity of the nucleus and can be calculated analytically. The low-energy part depends on further details of the atomic structure and has to be calculated numerically. The results accurate at least up to alpha(Z alpha)(6) are obtained for non-S states and normalized difference n(3)Delta E-n - Delta E-1 of the S states. The method is applied to the states with the principal quantum number n ranging from 2 to 10, with the orbital quantum number l ranging from 0 to 3 and with the nuclear charges Z ranging from 1 to 30. In the cases that were already considered in literature a very good agreement with previous calculations is found, especially for the atoms with lower nuclear charges. The advantages of the present method over the previous ones are pointed out. The method for the evaluation of the self-energy of bound electron is proposed. The integration over four-momenta of virtual photons is done in a way that preserves manifest Lorentz invariance. The resulting expression can then be decomposed into high-and low-energy parts in a Lorentz invariant fashion. The high-energy part depends only on the behavior of the wave function of the reference state in the immediate vicinity of the nucleus and can be calculated analytically. The low-energy part depends on further details of the atomic structure and has to be calculated numerically. The results accurate at least up to alpha(Z alpha)(6) are obtained for non-S states and normalized difference n(3)Delta E-n - Delta E-1 of the S states. The method is applied to the states with the principal quantum number n ranging from 2 to 10, with the orbital quantum number l ranging from 0 to 3 and with the nuclear charges Z ranging from 1 to 30. In the cases that were already considered in literature a very good agreement with previous calculations is found, especially for the atoms with lower nuclear charges. The advantages of the present method over the previous ones are pointed out. (en)
Title	Self-energy of a bound electron for excited states Self-energy of a bound electron for excited states (en)
skos:prefLabel	Self-energy of a bound electron for excited states Self-energy of a bound electron for excited states (en)
skos:notation	RIV/00216208:11320/12:10128523!RIV13-GA0-11320___
http://linked.open...avai/predkladatel	Matematicko-fyzikální fakulta
http://linked.open...avai/riv/aktivita	P S
http://linked.open...avai/riv/aktivity	P(GAP205/10/0228), S
http://linked.open...iv/cisloPeriodika	4
http://linked.open...vai/riv/dodaniDat	2013
http://linked.open...aciTvurceVysledku	Zamastil, Jaroslav Patkóš, Vojtěch
http://linked.open.../riv/druhVysledku	J - Článek v odborném periodiku
http://linked.open...iv/duvernostUdaju	S - Úplné a pravdivé údaje nepodléhající ochraně podle zvláštních právních předpisů
http://linked.open...titaPredkladatele	Univerzita Karlova v Praze / Matematicko-fyzikální fakulta
http://linked.open...dnocenehoVysledku	167348
http://linked.open...ai/riv/idVysledku	RIV/00216208:11320/12:10128523
http://linked.open...riv/jazykVysledku	eng - angličtina
http://linked.open.../riv/klicovaSlova	constants; atoms; hydrogenlike systems; lamb shift; radiative level shifts; order binding corrections; free propagator expansion; strong coulomb field (en)
http://linked.open.../riv/klicoveSlovo	atoms free propagator expansion hydrogenlike systems lamb shift order binding corrections radiative level shifts strong coulomb field constants
http://linked.open...odStatuVydavatele	US - Spojené státy americké
http://linked.open...ontrolniKodProRIV	[C624D006584F]
http://linked.open...i/riv/nazevZdroje	Physical Review A - Atomic Molecular and Optical Physics
http://linked.open...in/vavai/riv/obor	BE
http://linked.open...ichTvurcuVysledku	2 (xsd:int)
http://linked.open...cetTvurcuVysledku	2 (xsd:int)
http://linked.open...vavai/riv/projekt	Structure and Dynaics of Bioinorganic Complexes
http://linked.open...UplatneniVysledku	2012
http://linked.open...v/svazekPeriodika	86
http://linked.open...iv/tvurceVysledku	Zamastil, Jaroslav Patkóš, Vojtěch
http://linked.open...ain/vavai/riv/wos	000310259600003
issn	1050-2947
number of pages	19 (xsd:int)
http://bibframe.org/vocab/doi	10.1103/PhysRevA.86.042514
http://localhost/t...ganizacniJednotka	11320
is http://linked.open...avai/riv/vysledek of	Self-energy of a bound electron for excited states

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