Foundations Of Quantum Mechanics

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1、FoundationsofQuantumMechanicsDr.H.Osborn1Michælmas19971LATEXedbyPaulMetcalfecommentsandcorrectionstopdm23@cam.ac.uk.Revision:2.5Date:1999-06-0614:10:19+01Thefollowingpeoplehavemaintainedthesenotes.datePaulMetcalfeContentsIntroductionv1Basics11.1Reviewofearlierwork.....................

2、....11.2TheDiracFormalism..........................31.2.1Continuumbasis........................41.2.2Actionofoperatorsonwavefunctions.............51.2.3Momentumspace........................61.2.4Commutingoperators.....................71.2.5UnitaryOperators........................81.2.

3、6Timedependence........................82TheHarmonicOscillator92.1Relationtowavefunctions.......................102.2Morecomments.............................113MultiparticleSystems133.1Combinationofphysicalsystems....................133.2MultiparticleSystems..........................

4、143.2.1Identicalparticles........................143.2.2Spinlessbosons.........................153.2.3Spin1fermions........................1623.3Twoparticlestatesandcentreofmass.................173.4Observation...............................174PerturbationExpansions194.1Introduction..

5、.............................194.2Non-degenerateperturbationtheory..................194.3Degeneracy...............................215Generaltheoryofangularmomentum235.1Introduction...............................235.1.1Spin1particles.........................2425.1.2Spin1particles......

6、...................255.1.3Electrons............................255.2Additionofangularmomentum.....................265.3Themeaningofquantummechanics..................27iiiivCONTENTSIntroductionThesenotesarebasedonthecourseFoundationsofQuantumMechanicsgivenbyDr.H.OsborninCambridgeintheM

7、ichælmasTerm1997.Recommendedbooksarediscussedinthebibliographyattheback.Othersetsofnotesareavailablefordifferentcourses.Atthetimeoftypingthesecourseswere:ProbabilityDiscreteMathematicsAnalysisFurtherAnalysisMethodsQuantumMechanicsFluidDynamics1QuadraticMathematicsGeometryDynamicsofD.E

8、.sFou