esposito,from classical to quantum mechanics

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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.Hismaincontributionsaretotheboundaryconditionsinquantumfieldtheoryandquantumgravityviafunc-tionalintegrals.GiuseppeMarmohasbeenProfessorofTheoreticalPhysicsa

7、tNaplesUniversitysince1986,whereheisteachingthefirstundergraduatecourseinquantummechanics.Hisresearchinterestsareinthegeometryofclassicalandquantumdynamicalsystems,deformationquantization,algebraicstructuresinphysics,andconstrainedandintegrablesystems.GeorgeSudars

8、hanhasbeenProfessorofPhysicsattheDepartmentofPhysicsoftheUniversityofTexasatAustinsince1969.Hisresearchhasrevolutionizedtheunderstandingofclassicalandquantumdy