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ID:4172989
大小:292.75 KB
页数:31页
时间:2017-11-29
《a rotating quantum vacuum》由会员上传分享,免费在线阅读,更多相关内容在行业资料-天天文库。
1、ARotatingQuantumVacuumV.A.DeLorenci1andN.F.Svaiter2CentroBrasileirodePesquisasF´ısicas,RuaDr.XavierSigaud,150,UrcaRiodeJaneiroCEP22290-180-RJ.Brazil.AbstractWeinvestigatehowauniformlyrotatingframeisdefinedastherestframeofanobserverrotatingwithconstantangularvelocityΩa
2、roundthezaxisofaninertialframe.AssumingthatthisframeisaLorentzone,wesecondquantizeafreemasslessscalarfieldinthisrotatingframeandobtainthatcreation-anihilationoperatorsofthefieldarenotthesameasthoseofaninertialframe.Thisleadstoanewvacuumstate—arotatingvacuum—whichisasup
3、erpositionofpositiveandnegativefrequencyMinkowskiparticles.Afterthis,introducinganapparatusdevicecoupledlinearlywiththefieldweobtainthatthereisastrongcorrelationbetweennumberofrotatingparticles(inagivenstate)obtainedviacanonicalquantizationandviaresponsefunctionofther
4、otatingdetector.Finally,weanalysepolarizationeffectsincircularacceleratorsintheproperframeoftheelectronmakingaconnectionwiththeinertialframepointofview.arXiv:hep-th/9612006v323Jan1998Pacsnumbers:04.62.+v,03.65.Bz1lorenci@lafex.cbpf.br2nfuxsvai@lafex.cbpf.br11Introduct
5、ion1.1IntroductoryRemarksThepurposeofthispaperistodiscussthepuzzleoftherotatingdetector[1]andtorelatethistopolarizationeffectsofelectronsinstoragerings[2].Wetrytoavoidmanytechnicaldifficultiestoemphasizeonlyfundamentalresults.Themostimportantstepinthedevelopmentofgenera
6、lrelativityfromspecialrelativ-ityistoaccepttheideathatispossibletodiscussphysics—andcomparemeasurements—notonlybetweeninertialframesbutalsobetweenanyarbitraryframesofreferences.ItisnaturaltoaskhowtosecondquantizeanyfieldinanarbitraryframeinMinkowskispacetime.Notethatt
7、heprincipleofgeneralcovariancerequirethatphysicallyobserv-ablesarealwaysexpressibleincoordinateindependentfashion.Thedevelopmentofsuchideasintroduceaplethoraofnewphenomena.OneoftheseistheUnruh-Davieseffect[3,4].AnuniversaldefinitionofthevacuumforasystemdescribedbyaHami
8、ltonianisthatthevacuumisthelowestenergystate.Iftodescribethesystemweuseafinitenumberofdegreesoffreedom,allrepresentationsoftheoperat
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