摘要
Weconsideraquantumparticleasawavepacketinthecoordinatespace.Whentheconjugatewavepacketinthemomentumspaceisconsidered,wefindthatthegroupvelocitiesofthesetwowavepackets,whichdescribetheparticledynamics,areinagreementwiththeHamiltonequationsonlyifinthetimedependentphasesoneconsiderstheLagrangianinsteadoftheHamiltonianwhichleadstotheconventionalSchr?dingerequation.Wedefinearelativisticquantumprincipleassertingthataquantumparticlehasafinitefrequencyspectrum,withacutoffpropagationvelocitycasauniversalconstantnotdependingonthecoordinatesystem,andthatanytimedependentphasevariationisthesameinanysystemofcoordinates.Fromthetimedependentphaseinvariance,therelativistickinematicsisobtained.Weconsidertwotypesofpossibleinteractions:1)Aninteractionwithanexternalfield,byamodificationofthetimedependentphasedifferentialwiththetermsproportionaltothedifferentialsofthespace-timecoordinatesmultipliedwiththecomponentsofthisfieldfour-potential,and2)aninteractionbyadeformationofthespace-timecoordinates,duetoagravitationalfield.Fromtheinvarianceofthetimedependentphasewithfieldcomponents,weobtainamechanicalforceoftheformofLorentz’sforce,andthreeMaxwellequations:TheGauss-Maxwellequationsfortheelectricandmagneticfluxes,andtheFaraday-Maxwellequationfortheelectromagneticinduction.Whenthefourthequation,Ampère-Maxwell,isconsidered,theinteractionfieldtakestheformoftheelectromagneticfield.Foralowpropagationvelocityoftheparticlewaves,wegetapacketofwaveswiththetimedependentphasesproportionaltotherelativisticHamiltonian,asinDirac’sfamoustheoryofspin,andaslowly-varyingamplitudewithaphaseproportionaltothemomentumandthisvelocity.Intheframeworkofourtheory,thespinisobtainedasanallquantumeffect,withoutanyadditionalassumptiontothequantumtheory.When
出版日期
2017年04月14日（中国期刊网平台首次上网日期，不代表论文的发表时间）
