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1、GREEN'SFUNCTIONSFORSOLIDSTATEPHYSICISTSGREEN'SFUNCTIONSFORSOLIDSTATEPHYSICISTS----------AREPRINTVOLUMEWITHADDITIONALMATERIALONTHEPHYSICSOFCORRELATEDELECTRONSYSTEMSS.DONIACHStanfordUniversity,USAE.H.SONDHEIMERUniversityofLondon,UKImperialCollegePressPubl
2、ishedbyImperialCollegePress57SheltonStreetCoventGardenLondonWCZH9HEDistributedbyWorldScientificPublishingCo.Re.Ltd.P0Box128,FarrerRoad,Singapore912805USAoffice:SuiteIB,1060MainStreet,RiverEdge,NJ07661UKoffice:57SheltonStreet,CoventGarden,LondonWC2H9HEBr
3、itishLibraryCataloguing-in-PublicationDataAcataloguerecordforthisbookisavailablefromtheBritishLibrary.GREEN’SFUNCTIONSFORSOLIDSTATEPHYSICISTSFirsteditionpublishedin1974byW.A.Benjamin,Inc.Thiseditioncopyright01998byImperialCollegePressFirstpublished1998R
4、eprinted1999Allrightsreserved.Thisbook,orpartsthereof,maynotbereproducedinanyformorbyanymeans,electronicormechanical,includingphotocopying,recordingoranyinformationstorageandretrievalsystemnowknownortobeinvented,withoutwrittenpermissionfromthePublisher.
5、Forphotocopyingofmaterialinthisvolume,pleasepayacopyingfeethroughtheCopyrightClearanceCenter,Inc.,222RosewoodDrive,Danvers,MA01923,USA.Inthiscasepermissiontophotocopyisnotrequiredfromthepublisher.ISBN1-86094-078-1ISBN1-86094-080-3(pbk)PrintedinSingapore
6、byRegalPress(S)Pte.Ltd.ContentsPREFACETOTHEIMPERIALCOLLEGEPRESSEDITION.ixPREFACE..xiINTRODUCTION:THETHEORYOFCONDENSEDMATTER...xiiiCHAPTER1LATTICEDYNAMICSINTHEHARMONICAPPROXIMATION..11.1Thegroundstateenergy.21.2Thegroundstateenergyasanintegralovercouplin
7、gconstant61.3Theneutronscatteringcross-section.71.4TheGreen’sfunctionanditsequationofmotion..101.5TheiterationsolutionofG..151.6Summationoftheiterationseries..201.7Calculationofthegroundstateenergyandtheneutroncross-sectionintermsofthephononGreen’sfunct
8、ion.25CHAPTER2LATTICEDYNAMICSATFINITETEMPERATURES..292.1Thefreeenergyintheharmonicapproximation..302.2ThephonontemperatureGreen’sfunction..342.3Thereal-timeGreen’sfunctionandneutronscatteringatfinitetemperatures..41CHAPTER3THEFEY
