Contents 1. The Quantization of Physical Quantities 2. The Radiation Laws 3. Wave Aspects of Matter
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1 Contents 1. The Quantization of Physical Quantities LightQuanta ThePhotoelectricEffect TheComptonEffect TheRitzCombinationPrinciple TheFranck HertzExperiment TheStern GerlachExperiment BiographicalNotes The Radiation Laws APreviewoftheRadiationofBodies WhatisCavityRadiation? The Rayleigh Jeans Radiation Law: TheElectromagneticEigenmodesofaCavity Planck sradiationlaw BiographicalNotes Wave Aspects of Matter DeBroglieWaves TheDiffractionofMatterWaves TheStatisticalInterpretationofMatterWaves Mean(Expectation)ValuesinQuantumMechanics ThreeQuantumMechanicalOperators The Superposition Principle in Quantum Mechanics TheHeisenbergUncertaintyPrinciple BiographicalNotes Mathematical Foundations of Quantum Mechanics I PropertiesofOperators CombiningTwoOperators BraandKetNotation EigenvaluesandEigenfunctions Measurability of Different Observables at Equal Times Position and Momentum Operators Heisenberg s Uncertainty Relations for Arbitrary Observables Angular-Momentum Operators KineticEnergy... 85
2 XVI Contents 4.10 TotalEnergy BiographicalNotes Mathematical Supplement Eigendifferentials and the Normalization of Eigenfunctions forcontinuousspectra ExpansionintoEigenfunctions The Schrödinger Equation The Conservation of Particle Number in Quantum Mechanics StationaryStates PropertiesofStationaryStates BiographicalNotes The Harmonic Oscillator The Solution of the Oscillator Equation The Description of the Harmonic Oscillator bycreationandannihilationoperators Properties of the Operators â and â Representation of the Oscillator Hamiltonian in Terms of â and â Interpretation of â and â BiographicalNotes The Transition from Classical to Quantum Mechanics MotionoftheMeanValues Ehrenfest stheorem ConstantsofMotion,LawsofConservation Quantization in Curvilinear Coordinates BiographicalNotes Charged Particles in Magnetic Fields CouplingtotheElectromagneticField TheHydrogenAtom Three-Dimensional Electron Densities TheSpectrumofHydrogenAtoms CurrentsintheHydrogenAtom TheMagneticMoment Hydrogen-likeAtoms BiographicalNotes The Mathematical Foundations of Quantum Mechanics II RepresentationTheory RepresentationofOperators TheEigenvalueProblem UnitaryTransformations The S Matrix TheSchrödingerEquationinMatrixForm...266
3 Contents XVII 10.7 TheSchrödingerRepresentation TheHeisenbergRepresentation TheInteractionRepresentation BiographicalNotes Perturbation Theory StationaryPerturbationTheory Degeneracy TheRitzVariationalMethod Time-DependentPerturbationTheory Time-IndependentPerturbation Transitions Between Continuum States BiographicalNotes Spin Doublet Splitting The Einstein de Haas Experiment TheMathematicalDescriptionofSpin WaveFunctionswithSpin ThePauliEquation BiographicalNotes A Nonrelativistic Wave Equation with Spin TheLinearizationoftheSchrödingerEquation Particles in an External Field and the Magnetic Moment Elementary Aspects of the Quantum-Mechanical Many-Body Problem The Conservation of the Total Momentum ofaparticlesystem Centre-of-Mass Motion of a System of Particles inquantummechanics Conservation of Total Angular Momentum inaquantum-mechanicalmany-particlesystem Small Oscillations in a Many-Particle System BiographicalNotes Identical Particles ThePauliPrinciple ExchangeDegeneracy TheSlaterDeterminant BiographicalNotes The Formal Framework of Quantum Mechanics The Mathematical Foundation of Quantum Mechanics: HilbertSpace OperatorsinHilbertSpace EigenvaluesandEigenvectors...427
4 XVIII Contents 16.4 Operators with Continuous or Discrete-Continuous (Mixed)Spectra OperatorFunctions UnitaryTransformations The Direct-Product Space TheAxiomsofQuantumMechanics FreeParticles ASummaryofPerturbationTheory Conceptual and Philosophical Problems of Quantum Mechanics Determinism Locality Hidden-VariableTheories Bell stheorem MeasurementTheory Schrödinger scat SubjectiveTheories ClassicalMeasurements TheCopenhagenInterpretation IndelibleRecording The Splitting Universe The Problem of Reality Subject Index...479
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