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PartIV- Approximation Methods
- Time-IndependentPerturbationTheory
- Time-DependentPerturbationTheory
Adiabatic,harmonic,and”sudden”perturbations. - TheWKBandRayleigh-RitzApproximations
Wavefunctionsof ”nearly classical” systems. Classicalphysics asa stationary
phasecondition.Thevariationalapproachforestimatingthegroundstateofasystem. - ScatteringTheory
Partialwaves.TheBornapproximation
PartV- AdvancedTopics
- QuantumMechanicsasLinearAlgebra
Reviewofvectorsandmatrices.Linearalgebrainbra-ketnotation.Linearalgebra
andHilbertspace. Thexandprepresentations.Theharmonicoscillator,squarewell,
andangularmomentumrepresentations. Canonicalquantization. Poissonbrackets
andcommutators. - TheEPRParadoxandBell’sTheorem
EntangledStates. TheEPR”paradox”. Fasterthanlight?Bell’sTheorem. - TheProblemofMeasurement
Mixturesandpure states. The problemofmeasurement. Bohr andvonNeu-
manninterpretations. Bohm’s”guidingwaves”. TheMany-Universe formulation.
Decoherenceand”consistenthistories”approaches. - FeynmanPath-IntegralQuantization
Theactionapproachtoquantumtheory.FromSchrodingerequationtoFeynman
pathintegral.Propagators. FunctionalDerivatives. Classicalphysicsasastationary
phasecondition. - AGlimpseofQuantumFieldTheory
Particlesas excitedstatesofquantizedfields. Thequantizationofsound. The
quantizationoflight.Casimir’seffect,andthestructureoftheVacuum.