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1、武漢科技大學(xué)碩士學(xué)位論文非平坦時(shí)空中相對(duì)論性的玻色子和費(fèi)米子姓名:丁兆龍申請(qǐng)學(xué)位級(jí)別:碩士專業(yè):應(yīng)用數(shù)學(xué)指導(dǎo)教師:邵亮20081028第1I頁(yè)武漢科技大學(xué)碩士學(xué)位論文AbstractThisarticlefocusesonthespinparticlesinaclassofcurvedspacetimeintheequationsofmotionanditssystemofconservationKlein—Gordonequation
2、andDiracequationwithsimpleformsoftheuniversalexpressbosonsandfermionsinthefield,isapowerfultooltothegravitationalfieldofstudyInthehorizontalzeromomentum,forthedifferenttypesofcurvedspace—time,accurateanalyticalformtothei
3、ntrinsicwavefunctionsofbosonsandfermionshavebeengotTheeigenvaluesolutionsarealsodividedintoanalyticalandnumericalsolutionmethodsInthispaperanalyticalmethodsistocalculatetheintrinsicequationofspinparticle,anumericalstudyo
4、ftheirintrinsicvalueofenergyBythedefinitionofthefourdimensionalmomentumoperatorthispaperdemonstratsthat,inthenon—flatspace—timebackground,theflowprobabilityconservationlawistureforthespin—particlesThein—depthstudyforthem
5、ovementofparticlesinthecurvedspace—timehasanimportantsignificanceofmathematicsandphysicalmeaningThefulltextisdividedintofivechapters:ChapterI,IntroductionThischapterintroducesthetheoryofspinparticlesonthestudyofthehistor
6、yoftheprogressandmajorachievements,andbriefsthebasictheoriestothecalculationofequationsofmotiontothespinparticlesinacurvedspace—timebackgroundChapterII,SpinparticlesinthebackgroundofthecurvedspacetimeThemetrictensorofRie
7、mannspaceisusedtostudyequationsofmotionofthespinparticlesinacurvedspace—timeCalculationshavebeenusedfortheKleinGordonequationandDiracequationthroughdifferenttypesofcurvedspacetimeInthecalculationoftheDiracequation,wefirs
8、tintroducedthespinaboutthenatureofthecontactwiththeframefieldcurvaturetensorandtoexploretheuseofsymbolsChristofellmetricscalarcurvatureoftheparticleandthegeodesicequation,Andtheuseofspinandtheequivalenceprincipleachieves
9、DiracequationChapterIII,Calculationtointrinsicvaluesofspin—particlesInaclassofspecialboundaryconditions,WecalculatethewavefunctionsandenergyintrinsicvaluesaboutspinparticlesIntheresults,Theeigenvaluesofbosonsandfermionsa
10、recomparedandanalyzedChapterIV,Theparticle’Ssymmetryandconservationincurvedbackgroundspace—timeFirstofall,thischapterreviewsthequantummechanicsofthelawofconservationofprobabilityflowThen,ananalysisofquantumfieldtheoryofp
11、robabilityflowismadeSubsequentlywemakesuchclassicconclusionsintothecurvedspace—timeinordertogetamoregeneralconclusionsabouttheparticlenumberconservationFinallywealsostudytheconservationlawabouttheparityoperatorinthecurve
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