简介:Thephotonpolarizationtensorcarriesthefundamentalinformationofmagnetizedvacuumormedium[1{5].Acompletedescriptionofthevacuumpolarizationtensorisparticularlycomplicatedtoapproach,sincethevacuumphotonpolarizationtensorisexpressedintermsofadoublesummationofinfiniteserieswithrespecttotwoLandaulevelsoccupiedbyvirtualchargedparticles.MostworkswerefocusingonthestrongfiledlimitwithanassumptionofLowestLandauLevel(LLL)[2,6]InRef.[7]weobtainedafulldescriptionofvacuumpolarizationtensorinresponsetoalltheLandaulevelsatanyfieldstrengthofBforthefirsttimebeyondLLLapproximation,andwefoundoutthattheimaginarypartofthephotonpolarizationtensorξΠbecomesnonzeroatthetimelikemomentaregionQ2>4(M2+2neB)atT=0,i.e..,theLLLapproximationisanalyticallysatisfied[3,7].
简介:目的熟悉肿瘤源性骨软化症(tumorinducedosteomalacia,TIO)的特征。方法介绍1例低磷性骨软化症的临床表现、实验室检查、影像学和病理检查。结果患者,男,41岁,全身多关节疼痛伴跛行2年余。脊椎后突,肋外翻。血磷0.31mmol/L,血碱性磷酸酶255U/L;全身PET/CT:双侧多根肋骨、骶骨、双侧髋骨骨折;左侧股骨头低密度病灶,放射性摄取增高,肿瘤性病变可能。髋关节MRI:左侧股骨颈局限性骨质缺损,大小约1.0×1.5cm,为良性骨病,肿瘤样病变不除外。区域组织麻醉下行左股骨颈肿瘤切除术,病理报告:间叶源性肿瘤,联系临床考虑考虑为尿磷性间叶肿瘤(Phosphaturicmesenchymaltumor)。术后第7天复查血磷升至0.76mmol/L,碱性磷酸酶降至215U/L,24h尿磷降至8.4mmol/24h。术后一月随访骨痛症状及近端肌肉无力症状均有好转。本例最后诊断肿瘤源性骨软化(TIO)。结论成年发生的无家族史低磷性骨软化症应排除TIO,全身PET/CT功能显像和局部MRI解剖显像可确定肿瘤部位,手术切除肿瘤是治疗的关键。