The one example of Lorentz groupLorentz群的一个例子

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1、TheoneexampleofLorentzgroupLeonidD.Lantsman,WissenschaftlicheGesellschaftZWST,JudischeGemeindezuRostock,Wilhelm-K¨ulzPlatz,6.18055Rostock.e-mail:llantsman@freenet.deAbstractTheaimofthisworkistoshow,ontheexampleofthebehaviourofthespinlesschargedparticleinthe

2、homogeneouselectricfield,thatonecanquantizedthevelocityofparticlebythespecialgaugefixation.TheworkgivesalsothesomeinformationaboutthetheoryofsecondquantisationinthespaceofHilbert-FockandthetheoryofprojectorsintheHilbertspace.OneconsiderinAppendixthetheoryofth

3、espinlesschargedparticleinthehomogeneousaddiabaticalchangedelectricalfield.arXiv:hep-th/0104182v123Apr20011.IntroductionThehistoryofphysicsinxxcenturyisdeterminedwiththetwogreatdiscoveries.ThisistheA.Einstein’srelativitytheory(thespecialandthegeneralrelativi

4、ty)andthequantummechan-ics.Thehypothesisaboutthediscretenatureoflight,whichwassuggestedbyM.K.E.L.Planckin1900y.(asa’saving’fromtheultra-violetcatastrophe:theendlesscharacteroftheenergydensityoftheeradiationspectrumbecauseofthecontributionoftheultra-violetpa

5、rtofthespectrum)ledM.Planck(infactagainsthis’classicaleducation’asaphysicistofxixcenturywithitsMaxwellelectrodynamicsandNewton-Lagrangemechanics)totheconceptionofthequantumofminimalaction,i.e.tothePlanckconstant¯h.Thiswasagreatestdramaofdoctor’sPlancklife:h

6、ecouldnotacceptuptohisdeathin1947y.the’quantumrevolution’.Whatisthis-thequantumofminimalaction?Ourreader,whichacquaintedwithclassicalLa-grangemechanics,isknowsthat[1]onecanrepresentthephasespaceΓasaZΓ=dq1...dqsdp1...dps(1)whereqi,piarethecanonicalco-ordinat

7、esandthecanonicalmomentumcorrespondingly.TheM.Planck’shypothesis,inthetermsofformula(1),signifiesthatthecellofthephasespacewiththe3sizeΓ≤(2π¯h)isnotexists!Thisconclusion(atleastforthequasiclassicalapproachinquantummechanics)signifiesnonotherthenHeisenbergineq

8、uality-thefundamentallowofquantumme-chanics!So,onauthor’softhisarticleopinion,anopportunityforthequantummechanicsappear-ancewasaslongagoin1900y.(withaccountoftheaccumulatedknowledgeingeometricaloptics: