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1、ThispageintentionallyleftblankDYNAMICSOFONE-DIMENSIONALQUANTUMSYSTEMSOne-dimensionalquantumsystemsshowfascinatingpropertiesbeyondthescopeofthemean-fieldapproximation.However,thecomplicatedmathemat-icsinvolvedisahighbarriertonon-specialists.Writtenforgraduatestu-dentsandresearch
2、ersnewtothefield,thisbookisaself-containedaccountofhowtoderiveaquasi-particlepicturefromtheexactsolutionofmodelswithinverse-squareinterparticleinteractions.Thebookprovidesreaderswithanintuitiveunderstandingofexactdy-namicalpropertiesintermsofexoticquasi-particlesthatareneitherb
3、osonsnorfermions.Powerfulconcepts,suchastheYangiansymmetryintheSutherlandmodelanditslatticeversions,areexplained.Aself-containedaccountofnon-symmetricandsymmetricJackpolynomialsisalsogiven.Derivationsofdynamicsaremadeeasier,andaremoreconcisethanintheoriginalpapers,soreaderscan
4、learnthephysicsofone-dimensionalquantumsystemsthroughthesimplestmodel.YoshioKuramotoisaProfessorofPhysicsatTohokuUniversity,Japan.Heisanexpertonstronglycorrelatedelectronsystems,andhasauthoredandco-authoredseveralbooksandmanypapersinrelatedresearchfields.HeisamemberofthePhysica
5、lSocietyofJapan,andhasservedasoneoftheeditorsoftheSociety’sjournal.YusukeKatoisanAssociateProfessorintheDepartmentofBasicScienceattheUniversityofTokyo.Hisworkingfieldsarephysicsofcon-densedmatter,correlatedelectronsystemsinonedimension,integrablesys-tems,superconductivityandBos
6、e–Einsteincondensation.DynamicsofOne-DimensionalQuantumSystemsInverse-SquareInteractionModelsYOSHIOKURAMOTOTohokuUniversityYUSUKEKATOUniversityofTokyoCAMBRIDGEUNIVERSITYPRESSCambridge,NewYork,Melbourne,Madrid,CapeTown,Singapore,SãoPaulo,Delhi,Dubai,TokyoCambridgeUniversityPres
7、sTheEdinburghBuilding,CambridgeCB28RU,UKPublishedintheUnitedStatesofAmericabyCambridgeUniversityPress,NewYorkwww.cambridge.orgInformationonthistitle:www.cambridge.org/9780521815987©Y.KuramotoandY.Kato2009Thispublicationisincopyright.Subjecttostatutoryexceptionandtotheprovision
8、ofrelevantcollectivelicensingagreements,noreproductionofanypa
