Quantum Mechanics A graduate level course.pdf

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1、QuantumMechanics:AgraduatelevelcourseRichardFitzpatrickAssociateProfessorofPhysicsTheUniversityofTexasatAustinContents1Introduction51.1Majorsources..............................52Fundamentalconcepts62.1Thebreakdownofclassicalphysics..................62.2Thepolariza

2、tionofphotons......................72.3Thefundamentalprinciplesofquantummechanics.........92.4Ketspace................................102.5Braspace................................142.6Operators................................172.7Theouterproduct....................

3、.......192.8Eigenvaluesandeigenvectors.....................202.9Observables...............................212.10Measurements.............................242.11Expectationvalues...........................252.12Degeneracy...............................262.13Compatibl

4、eobservables........................272.14Theuncertaintyrelation........................282.15Continuousspectra...........................313Positionandmomentum333.1Introduction..............................333.2Poissonbrackets............................333.3Wave-

5、functions.............................373.4Schrodinger's¨representation-I....................393.5Schrodinger's¨representation-II...................433.6Themomentumrepresentation....................463.7Theuncertaintyrelation........................483.8Displacemen

6、toperators........................504Quantumdynamics554.1Schrodinger's¨equationsofmotion..................554.2Heisenberg'sequationsofmotion...................5924.3Ehrenfest'stheorem..........................614.4Schrodinger's¨wave-equation.....................655

7、Angularmomentum715.1Orbitalangularmomentum......................715.2Eigenvaluesofangularmomentum..................745.3Rotationoperators...........................785.4Eigenfunctionsoforbitalangularmomentum............815.5Motioninacentraleld.....................

8、...845.6Energylevelsofthehydrogenatom..................865.7Spinangularmomentum.......................895.8Wave-functionofaspinone-halfparticle..