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1、TheoreticalandMathematicalPhysicsTheseriesfoundedin1975andformerly(until2005)entitledTextsandMonographsinPhysics(TMP)publisheshigh-levelmonographsintheoreticalandmathematicalphysics.ThechangeoftitletoTheoreticalandMathematicalPhysics(TMP)signalsthattheserie
2、sisasuitablepublicationplatformforboththemathematicalandthetheoreticalphysicist.Thewiderscopeoftheseriesisreßectedbythecompositionoftheeditorialboard,com-prisingbothphysicistsandmathematicians.Thebooks,writteninadidacticstyleandcontainingacertainamountofele
3、mentarybackgroundmaterial,bridgethegapbetweenadvancedtextbooksandresearchmono-graphs.Theycanthusserveasbasisforadvancedstudies,notonlyforlecturesandsem-inarsatgraduatelevel,butalsoforscientistsenteringaÞeldofresearch.EditorialBoardW.Beiglbck,InstituteofAppl
4、iedMathematics,UniversityofHeidelberg,GermanyJ.-P.Eckmann,DepartmentofTheoreticalPhysics,UniversityofGeneva,SwitzerlandH.Grosse,InstituteofTheoreticalPhysics,UniversityofVienna,AustriaM.Loss,SchoolofMathematics,GeorgiaInstituteofTechnology,Atlanta,GA,USAS.S
5、mirnov,MathematicsSection,UniversityofGeneva,SwitzerlandL.Takhtajan,DepartmentofMathematics,StonyBrookUniversity,NY,USAJ.Yngvason,InstituteofTheoreticalPhysics,UniversityofVienna,AustriaAkihitoHoraNobuakiObataQuantumProbabilityandSpectralAnalysisofGraphsWit
6、haForewordbyProfessorLuigiAccardiWith48FiguresABCProfessorDr.AkihitoHoraProfessorDr.NobuakiObataGraduateSchoolofMathematicsGraduateSchoolofInformationSciencesNagoyaUniverstiyTohokuUniversityNagoya464-8602,JapanSendai980-8579,JapanAkihitoHoraandNobuakiObata,
7、QuantumProbabilityandSpectralAnalysisofGraphs,TheoreticalandMathematicalPhysics(Springer,BerlinHeidelberg2007)DOI10.1007/b11501497LibraryofCongressControlNumber:2006940905ISSN0172-5998ISBN-13978-3-540-48862-0SpringerBerlinHeidelbergNewYorkThisworkissubjectt
8、ocopyright.Allrightsarereserved,whetherthewholeorpartofthematerialisconcerned,speciÞcallytherightsoftranslation,reprinting,reuseofillustrations,recitation,broadcasting,reproductiononmicroÞlmorinanyothe
