资源描述：
《Quantum Energy Inequalities in Pre-MetricElectrodynamics预度量电动力学中的量子能量不等式》由会员上传分享，免费在线阅读，更多相关内容在学术论文-天天文库。
1、QuantumEnergyInequalitiesinPre-MetricElectrodynamicsChristopherJ.Fewster1,ChristianPfeifer2,DanielSiemssen3,41DepartmentofMathematics,UniversityofYork,Heslington,YorkYO105DD,UnitedKingdom.E-mail:chris.fewster@york.ac.uk2LaboratoryofTheoreticalPhysics,InstituteofPhysics,UniversityofTartu,W.
2、Ostwaldi1,50411Tartu,Estonia.E-mail:christian.pfeifer@ut.ee3DepartmentofMathematicalMethodsinPhysics,FacultyofPhysics,UniversityofWarsaw,Pasteura5,02-093Warszawa,Poland.4DepartmentofMathematicsandInformatics,UniversityofWuppertal,Gaußstraße20,42119Wup-pertal,Germany.E-mail:siemssen@uni-wup
3、pertal.deAbstract.Pre-metricelectrodynamicsisacovariantframeworkforelectromagnetismwithageneralconstitutivelaw.ItslightconestructurecanbemorecomplicatedthanthatofMaxwelltheoryasisshownbythephenomenonofbirefringence.Westudytheenergydensityofquantizedpre-metricelectrodynamicstheorieswithline
4、arconstitutivelawsadmittingasinglehyperbolicitydouble-coneandshowthataveragesoftheenergydensityalongtheworldlinesofsuitableobserversobeyaQuantumEnergyInequality(QEI)instatesthatsatisfyamicrolocalspectrumcondition.Theworldlinesmustmeettwoconditions:(a)theclassicalweakenergyconditionmusthold
5、alongthem,and(b)theirvelocityvectorshavepositivecontractionswithallpositivefrequencynullcovectors(wecallsuchtrajectories‘subluminal’).Afterstatingourgeneralresults,weexplicitlyquantizetheelectromagneticpotentialinatranslationallyinvariantuniaxialbirefringentcrystal.Sincethepropagationoflig
6、htinsuchacrystalisgovernedbytwonestedlightcones,thetheoryshowsfeaturesabsentinordinary(quantized)Maxwellelectrodynamics.WethencomputeaQEIboundforworldlinesofinertial‘subluminal’observers,whichgeneralizesknownresultsfromtheMaxwelltheory.Finally,itisshownthattheQEIsfailalongtrajectoriesthath
7、avevelocityvectorswhicharetimelikewithrespecttoonlyoneofthelightcones.1IntroductionThephenomenonofbirefringenceprovidesavividillustrationofthedifferencebetweenelectrodynamicsinmediaandinvacuum–thepropagationoflightisgovernedbytwoarXiv:1709.01760v2[math-ph]4Oct
