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1、ThispageintentionallyleftblankMETHODSOFSTATISTICALPHYSICSThisgraduate-leveltextbookonthermalphysicscoversclassicalthermodynamics,statisticalmechanics,andtheirapplications.Itdescribestheoreticalmethodstocalculatethermodynamicproperties,suchastheequationofstate,specificheat,Helmholtzpotentia
2、l,magneticsusceptibility,andphasetransitionsofmacroscopicsystems.Inadditiontothemorestandardmaterialcovered,thisbookalsodescribesmorepowerfultechniques,whicharenotfoundelsewhere,todeterminethecorrelationeffectsonwhichthethermodynamicpropertiesarebased.Particularemphasisisgiventothecluster
3、variationmethod,andanovelformulationisdevelopedforitsexpressionintermsofcorrelationfunctions.Applicationsofthismethodtotopicssuchasthethree-dimensionalIsingmodel,BCSsuperconductivity,theHeisenbergferromagnet,thegroundstateenergyoftheAndersonmodel,antiferromagnetismwithintheHubbardmodel,an
4、dpropagationofshortrangeorder,areextensivelydiscussed.ImportantidentitiesrelatingdifferentcorrelationfunctionsoftheIsingmodelarealsoderived.Althoughabasicknowledgeofquantummechanicsisrequired,themathe-maticalformulationisaccessible,andthecorrelationfunctionscanbeevaluatedeithernumerically
5、oranalyticallyintheformofinfiniteseries.BasedoncoursesinstatisticalmechanicsandcondensedmattertheorytaughtbytheauthorintheUnitedStatesandJapan,thisbookisentirelyself-containedandallessentialmath-ematicaldetailsareincluded.Itwillconstituteanidealcompaniontextforgraduatestudentsstudyingcours
6、esonthetheoryofcomplexanalysis,classicalmechanics,classicalelectrodynamics,andquantummechanics.Supplementarymaterialisalsoavailableontheinternetathttp://uk.cambridge.org/resources/0521580560/TOMOYASUTANAKAobtainedhisDoctorofSciencedegreeinphysicsin1953fromtheKyushuUniversity,Fukuoka,Japan
7、.SincethenhehasdividedhistimebetweentheUnitedStatesandJapan,andiscurrentlyProfessorEmeritusofPhysicsandAstronomyatOhioUniversity(Athens,USA)andalsoatChubuUniversity(Kasugai,Japan).Heistheauthorofover70researchpapersonthetwo-timeGreen’sfunctiontheoryoftheHeisenbergfe
