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Quantum EngineeringYear 0: Mathematical FoundationsMonth 7Day 192

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Year 0·Month 7·Week 4

Day 192: Scattering Theory Applications

Day 192 of 2,016~7 min read

Learning Objectives

  • •Understand the S-matrix and its analytic properties
  • •Relate S-matrix poles to bound states and resonances
  • •Compute resonance widths from pole positions
  • •Apply Levinson's theorem to count bound states
  • •Calculate scattering phase shifts from complex analysis
  • •Connect to experimental observables

Today's Schedule (7 hours)

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1 The S-Matrix2 Analyticity of Sk3 Bound States as Poles4 Resonances5 Levinsons Theorem6 Jost Functions
Day 191Day 192 of 2,016Day 193