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《AN INFORMAL SUMMARY OFA NEW FORMALISM FOR CLASSIFYING非正式總結(jié) 一種新的分類(lèi)方法 使用工具的自旋軌道系統(tǒng) 從BulsLe1理論中提煉》由會(huì)員上傳分享，免費(fèi)在線閱讀，更多相關(guān)內(nèi)容在學(xué)術(shù)論文-天天文庫(kù)。
1、ANINFORMALSUMMARYOFANEWFORMALISMFORCLASSIFYINGSPIN-ORBITSYSTEMSUSINGTOOLSDISTILLEDFROMTHETHEORYOFBUNDLES1K.HEINEMANNDepartmentofMathematicsandStatistics,UniversityofNewMexico,Albuquerque,NewMexico,USAheineman@math.unm.eduD.P.BARBERDeutschesElektronen–SynchrotronDESY,Hamburg,Germanympybar@mail.
2、desy.deJ.A.ELLISONDepartmentofMathematicsandStatistics,UniversityofNewMexico,Albuquerque,NewMexico,USAellison@math.unm.eduM.VOGTDeutschesElektronen–SynchrotronDESY,Hamburg,Germanyvogtm@mail.desy.de(January30,2015)AbstractWegiveaninformalsummaryofongoingworkwhichusestoolsdis-tilledfromthetheory
3、of?brebundlestoclassifyandconnectinvariant?eldsassociatedwithspinmotioninstoragerings.Wementionfourmajortheorems.Onetiesinvariant?eldswiththenotionofnormalform,thesecondallowscomparisonofdi?erentinvariant?eldsandthetwootherstietheexistenceofinvariant?eldstotheexistenceofcertaininvariantsets.We
4、explainhowthetheoremsapplytothespinarXiv:1502.00538v1[physics.acc-ph]2Feb2015dynamicsofspin-1/2andspin-1particles.Ourapproachelegantlyuni?esthespin-vectordynamicsfromtheT-BMTequationwiththespin-tensordynamicsandotherdynamicsandsuggestsanavenueforaddressingthequestionoftheexistenceoftheinvarian
5、tspin?eld.1BasedonapresentationatSpin2014,The21stInternationalSymposiumonSpinPhysics,Beijing,China,October2014.TobepublishedintheInternationalJournalofModernPhysics,ConferenceSeries.1IntroductionThepolarizationofabeamofspin-1/2orspin-1particlescirculatinginastorageringisbestsystematizedinterms
6、ofinvariantspin?elds(ISF’s)andinvariantpolarization-tensor?elds(ITF’s).Theyareessentialfordescribingtheequilibriumpolarizationstateofproton,deuteronandelectronbeams.WehavealreadytreatedtheconceptoftheISFindepthinRef.[1].Nu-mericalevidenceindicatesthatISF’scanberathercomplexentities.More-overth
7、equestionofexistence,althoughtrivialinsomesimplecases,e.g.,onorbitalresonance,isuptothisday,unsolvedand,asevidencedbyuseofstroboscopicaveraging[2]modelsituationscanoccuro?orbitalresonancewhereISF’smightnotexist.Inotherwordsthereisnogood
