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Quantum EngineeringYear 3: Qualifying Exam PreparationMonth 39Week 155

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Week 155: Scattering Theory

Week 155 of 288~38 min read

Learning Objectives

  • •**Define** scattering amplitude and differential cross section
  • •**Apply** the Born approximation to calculate scattering from weak potentials
  • •**Perform** partial wave analysis and calculate phase shifts
  • •**Use** the optical theorem to relate forward scattering to total cross section
  • •**Analyze** resonance scattering using the Breit-Wigner formula
  • •**Calculate** scattering from common potentials (square well, Coulomb, Yukawa)
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On this page

OverviewLearning ObjectivesDaily ScheduleCore Concepts1 Scattering Setup2 Cross Sections3 Born Approximation4 Partial Wave Expansion5 Phase Shifts6 Optical TheoremKey EquationsScattering Amplitude and Cross SectionBorn ApproximationPartial WavesSpecial ResultsImportant Scattering ResultsYukawa PotentialCoulomb PotentialHard SphereStudy ResourcesPrimary TextsSupplementaryQualifying Exam RelevanceTypical Problem TypesCommon PitfallsWeek Checklist