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Quantum EngineeringYear 1: Quantum Mechanics CoreMonth 15Day 400

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Year 1·Month 15·Week 2

Day 400: The Stern-Gerlach Experiment — Discovery of Spin

Day 400 of 2,016~21 min read

Learning Objectives

  • •**Describe** the historical context and motivation for the Stern-Gerlach experiment
  • •**Explain** the experimental setup including the inhomogeneous magnetic field
  • •**Analyze** why the observation of exactly two spots implies spin-1/2
  • •**Predict** outcomes of sequential Stern-Gerlach experiments
  • •**Connect** the Stern-Gerlach apparatus to quantum measurement theory
  • •**Simulate** beam splitting computationally

Today's Schedule (7 hours)

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OverviewScheduleLearning Objectives1 Historical Context 1920-1922The Old Quantum Theory CrisisThe Quantization QuestionSterns Proposal 19212 Experimental SetupThe ApparatusThe Magnetic FieldClassical PredictionWhy Silver Atoms3 The Observation Exactly Two SpotsThe Result February 1922What Does This MeanThe Half-Integer ProblemEigenvalues of Spin4 Quantitative AnalysisForce on the AtomDeflection CalculationTypical Values5 Sequential Stern-Gerlach ExperimentsThe Profound ImplicationsExperiment 1 SGz SGzExperiment 2 SGz SGxExperiment 3 SGz SGx SGzQuantum Computing Connection Measurement and Collapse6 The Stern-Gerlach as a Quantum Measurement DeviceMeasurement Postulate in ActionIdeal Projective MeasurementThe Measurement Problem7 Worked ExamplesExample 1 Deflection CalculationExample 2 Sequential Measurement ProbabilitiesExample 3 Arbitrary Measurement Direction8 Practice ProblemsProblem SetLevel 1 Direct ApplicationLevel 2 IntermediateLevel 3 Challenging9 Computational Lab Simulating Stern-GerlachPython ImplementationLab Exercises10 SummaryKey Concepts LearnedKey FormulasHistorical Significance11 Daily ChecklistConceptual UnderstandingMathematical SkillsComputational SkillsQuantum Computing Connection12 Preview Day 401References
Day 399Day 400 of 2,016Day 401