Quantum Mechanics of Point Particles
Identifieur interne : 001871 ( Istex/Corpus ); précédent : 001870; suivant : 001872Quantum Mechanics of Point Particles
Auteurs : Florian ScheckSource :
Abstract
Abstract: In developing quantum mechanics of pointlike particles one is faced with a curious, almost paradoxical situation: One seeks a more general theory which takes proper account of Planck’s quantum of action $$h$$ h and which encompasses classical mechanics, in the limit $$h\rightarrow 0$$ h → 0 , but for which initially one has no more than the formal framework of canonical mechanics. This is to say, slightly exaggerating, that one tries to guess a theory for the hydrogen atom and for scattering of electrons by extrapolation from the laws of celestial mechanics. That this adventure eventually is successful rests on both phenomenological and on theoretical grounds.
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DOI: 10.1007/978-3-642-34563-0_1
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Scheck</RunningAuthor></PageHeaders><AuthorGroup><Author AffiliationIDS="Aff1" CorrespondingAffiliationID="Aff1"><AuthorName DisplayOrder="Western"><GivenName>Florian</GivenName><FamilyName>Scheck</FamilyName></AuthorName><Contact><Phone>+49-061-31390</Phone><Email>scheck@uni-mainz.de</Email></Contact></Author><Affiliation ID="Aff1"><OrgDivision>Institut für Physik, Theoretische Elementarteilchenphysik</OrgDivision><OrgName>Universität Mainz</OrgName><OrgAddress><Street>Staudinger Weg 7</Street><Postcode>55099</Postcode><City>Mainz</City><Country>Germany</Country></OrgAddress></Affiliation></AuthorGroup><Abstract ID="Abs1" Language="En" OutputMedium="Online"><Heading>Abstract</Heading><Para>In developing quantum mechanics of pointlike particles one is faced with a curious, almost paradoxical situation: One seeks a more general theory which takes proper account of Planck’s quantum of action <InlineEquation ID="IEq1"><InlineMediaObject><ImageObject Color="BlackWhite" FileRef="82442_2_En_1_Chapter_IEq1.gif" Format="GIF" Rendition="HTML" Type="Linedraw"></ImageObject></InlineMediaObject><EquationSource Format="TEX">$$h$$</EquationSource><EquationSource Format="MATHML">
<math><mrow><mi>h</mi></mrow></math>
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<math><mrow><mi>h</mi><mo stretchy="false">→</mo><mn>0</mn></mrow></math>
</EquationSource></InlineEquation>, but for which initially one has no more than the formal framework of canonical mechanics. This is to say, slightly exaggerating, that one tries to guess a theory for the hydrogen atom and for scattering of electrons by extrapolation from the laws of celestial mechanics. That this adventure eventually is successful rests on both <Emphasis Type="Italic">phenomenological</Emphasis> and on <Emphasis Type="Italic">theoretical</Emphasis> grounds.</Para></Abstract></ChapterHeader><NoBody></NoBody></Chapter></Part></Book></Publisher></istex:document></istex:metadataXml><mods version="3.6"><titleInfo lang="en"><title>Quantum Mechanics of Point Particles</title></titleInfo><titleInfo type="alternative" contentType="CDATA"><title>Quantum Mechanics of Point Particles</title></titleInfo><name type="personal" displayLabel="corresp"><namePart type="given">Florian</namePart><namePart type="family">Scheck</namePart><affiliation>Institut für Physik, Theoretische Elementarteilchenphysik, Universität Mainz, Staudinger Weg 7, 55099, Mainz, Germany</affiliation><affiliation>E-mail: scheck@uni-mainz.de</affiliation><role><roleTerm type="text">author</roleTerm></role></name><typeOfResource>text</typeOfResource><genre type="chapter" displayLabel="chapter" authority="ISTEX" authorityURI="https://content-type.data.istex.fr" valueURI="https://content-type.data.istex.fr/ark:/67375/XTP-CGT4WMJM-6"></genre><originInfo><publisher>Springer Berlin Heidelberg</publisher><place><placeTerm type="text">Berlin, Heidelberg</placeTerm></place><dateIssued encoding="w3cdtf">2013</dateIssued><copyrightDate encoding="w3cdtf">2013</copyrightDate></originInfo><language><languageTerm type="code" authority="rfc3066">en</languageTerm><languageTerm type="code" authority="iso639-2b">eng</languageTerm></language><abstract lang="en">Abstract: In developing quantum mechanics of pointlike particles one is faced with a curious, almost paradoxical situation: One seeks a more general theory which takes proper account of Planck’s quantum of action $$h$$ h and which encompasses classical mechanics, in the limit $$h\rightarrow 0$$ h → 0 , but for which initially one has no more than the formal framework of canonical mechanics. This is to say, slightly exaggerating, that one tries to guess a theory for the hydrogen atom and for scattering of electrons by extrapolation from the laws of celestial mechanics. 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