Hydrogen-like Atoms
Identifieur interne : 001726 ( Main/Exploration ); précédent : 001725; suivant : 001727Hydrogen-like Atoms
Auteurs : Floyd Williams [États-Unis]Source :
- Progress in Mathematical Physics
Abstract
Abstract: Because of considerable mathematical difficulties the Schrödinger equation can be solved exactly for only a few simple quantum systems. In particular for atoms with at least two electrons no such exact solutions exist. The most important system where an exact solution is indeed possible consists of a single electron with charge q 1 = -e in motion under the influence of a Coulomb potential about a nucleus with a positive charge q 2 = Ζe, for Ζ ≥ 1 an integer. Such a system is called a hydrogenic or hydrogen-like atom, with atomic number Z. One may view the nucleus as consisting of Ζ protons. For Ζ = 1 we obtain the hydrogen atom. For Ζ = 2, for example, the system is singly ionized helium He+; this is helium with its two protons as usual, but stripped of one of its two electrons. Since it has only one electron but two protons it is positively charged, as indicated by the plus sign +. Similarly the lithium atom Li consists of three electrons and three protons (and four neutrons). If we strip off two electrons we obtain the ion Li++—doubly ionized lithium, which is the case Ζ = 3.
Url:
DOI: 10.1007/978-1-4612-0009-3_6
Affiliations:
Links toward previous steps (curation, corpus...)
- to stream Istex, to step Corpus: 001134
- to stream Istex, to step Curation: 001134
- to stream Istex, to step Checkpoint: 000592
- to stream Main, to step Merge: 001762
- to stream Main, to step Curation: 001726
Le document en format XML
<record><TEI wicri:istexFullTextTei="biblStruct"><teiHeader><fileDesc><titleStmt><title xml:lang="en">Hydrogen-like Atoms</title><author><name sortKey="Williams, Floyd" sort="Williams, Floyd" uniqKey="Williams F" first="Floyd" last="Williams">Floyd Williams</name></author></titleStmt><publicationStmt><idno type="wicri:source">ISTEX</idno><idno type="RBID">ISTEX:7BFC3BB07095E594A6D72355E222991DC8EE95BF</idno><date when="2003" year="2003">2003</date><idno type="doi">10.1007/978-1-4612-0009-3_6</idno><idno type="url">https://api.istex.fr/ark:/67375/HCB-TBH6HLFW-H/fulltext.pdf</idno><idno type="wicri:Area/Istex/Corpus">001134</idno><idno type="wicri:explorRef" wicri:stream="Istex" wicri:step="Corpus" wicri:corpus="ISTEX">001134</idno><idno type="wicri:Area/Istex/Curation">001134</idno><idno type="wicri:Area/Istex/Checkpoint">000592</idno><idno type="wicri:explorRef" wicri:stream="Istex" wicri:step="Checkpoint">000592</idno><idno type="wicri:Area/Main/Merge">001762</idno><idno type="wicri:Area/Main/Curation">001726</idno><idno type="wicri:Area/Main/Exploration">001726</idno></publicationStmt><sourceDesc><biblStruct><analytic><title level="a" type="main" xml:lang="en">Hydrogen-like Atoms</title><author><name sortKey="Williams, Floyd" sort="Williams, Floyd" uniqKey="Williams F" first="Floyd" last="Williams">Floyd Williams</name><affiliation wicri:level="4"><country xml:lang="fr">États-Unis</country><wicri:regionArea>Department of Mathematics, University of Massachusetts, 01003, Amherst, MA</wicri:regionArea><placeName><region type="state">Massachusetts</region><settlement type="city">Amherst (Massachusetts)</settlement></placeName><orgName type="university">Université du Massachusetts</orgName></affiliation></author></analytic><monogr></monogr><series><title level="s" type="main" xml:lang="en">Progress in Mathematical Physics</title></series></biblStruct></sourceDesc></fileDesc><profileDesc><textClass></textClass></profileDesc></teiHeader><front><div type="abstract" xml:lang="en">Abstract: Because of considerable mathematical difficulties the Schrödinger equation can be solved exactly for only a few simple quantum systems. In particular for atoms with at least two electrons no such exact solutions exist. The most important system where an exact solution is indeed possible consists of a single electron with charge q 1 = -e in motion under the influence of a Coulomb potential about a nucleus with a positive charge q 2 = Ζe, for Ζ ≥ 1 an integer. Such a system is called a hydrogenic or hydrogen-like atom, with atomic number Z. One may view the nucleus as consisting of Ζ protons. For Ζ = 1 we obtain the hydrogen atom. For Ζ = 2, for example, the system is singly ionized helium He+; this is helium with its two protons as usual, but stripped of one of its two electrons. Since it has only one electron but two protons it is positively charged, as indicated by the plus sign +. Similarly the lithium atom Li consists of three electrons and three protons (and four neutrons). If we strip off two electrons we obtain the ion Li++—doubly ionized lithium, which is the case Ζ = 3.</div></front></TEI><affiliations><list><country><li>États-Unis</li></country><region><li>Massachusetts</li></region><settlement><li>Amherst (Massachusetts)</li></settlement><orgName><li>Université du Massachusetts</li></orgName></list><tree><country name="États-Unis"><region name="Massachusetts"><name sortKey="Williams, Floyd" sort="Williams, Floyd" uniqKey="Williams F" first="Floyd" last="Williams">Floyd Williams</name></region></country></tree></affiliations></record>Pour manipuler ce document sous Unix (Dilib)
EXPLOR_STEP=$WICRI_ROOT/Sante/explor/H2N2V1/Data/Main/Exploration
HfdSelect -h $EXPLOR_STEP/biblio.hfd -nk 001726 | SxmlIndent | more
Ou
HfdSelect -h $EXPLOR_AREA/Data/Main/Exploration/biblio.hfd -nk 001726 | SxmlIndent | more
Pour mettre un lien sur cette page dans le réseau Wicri
{{Explor lien
|wiki= Sante
|area= H2N2V1
|flux= Main
|étape= Exploration
|type= RBID
|clé= ISTEX:7BFC3BB07095E594A6D72355E222991DC8EE95BF
|texte= Hydrogen-like Atoms
}}
| This area was generated with Dilib version V0.6.33. |  |