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1、FromClassicaltoQuantumMechanicsThisbookprovidesapedagogicalintroductiontotheformalism,foundationsandappli-cationsofquantummechanics.PartIcoversthebasicmaterialthatisnecessarytoanunderstandingofthetransitionfromclassicaltowavemechanics.Topicsincludeclassicaldynami
2、cs,withemphasisoncanonicaltransformationsandtheHamilton–Jacobiequation;theCauchyproblemforthewaveequation,theHelmholtzequationandeikonalapproxi-mation;andintroductionstospin,perturbationtheoryandscatteringtheory.TheWeylquantizationispresentedinPartII,alongwiththe
3、postulatesofquantummechanics.TheWeylprogrammeprovidesageometricframeworkforarigorousformulationofcanonicalquantization,aswellaspowerfultoolsfortheanalysisofproblemsofcurrentinterestinquantumphysics.Inthechaptersdevotedtoharmonicoscillatorsandangularmomentumoperat
4、ors,theemphasisisonalgebraicandgroup-theoreticalmethods.Quantumentan-glement,hidden-variabletheoriesandtheBellinequalitiesarealsodiscussed.PartIIIisdevotedtotopicssuchasstatisticalmechanicsandblack-bodyradiation,Lagrangianandphase-spaceformulationsofquantummechan
5、ics,andtheDiracequation.Thisbookisintendedforuseasatextbookforbeginninggraduateandadvancedundergraduatecourses.Itisself-containedandincludesproblemstoadvancethereader’sunderstanding.GiampieroEspositoreceivedhisPhDfromtheUniversityofCambridgein1991andhasbeenINFNRe
6、searchFellowatNaplesUniversitysinceNovember1993.Hisresearchisdevotedtogravitationalphysicsandquantumtheory.Hismaincontributionsaretotheboundaryconditionsinquantum?eldtheoryandquantumgravityviafunc-tionalintegrals.GiuseppeMarmohasbeenProfessorofTheoreticalPhysicsa
7、tNaplesUniversitysince1986,whereheisteachingthe?rstundergraduatecourseinquantummechanics.Hisresearchinterestsareinthegeometryofclassicalandquantumdynamicalsystems,deformationquantization,algebraicstructuresinphysics,andconstrainedandintegrablesystems.GeorgeSudars
8、hanhasbeenProfessorofPhysicsattheDepartmentofPhysicsoftheUniversityofTexasatAustinsince1969.Hisresearchhasrevolutionizedtheunderstandingofclassicalandquantumdy