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Quantum EngineeringYear 1: Quantum Mechanics CoreMonth 16Day 433

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Year 1·Month 16·Week 2

Day 433: Expectation Values

Day 433 of 2,016~2 min read

Learning Objectives

  • •Calculate ⟨r^k⟩ for hydrogen states
  • •Apply the virial theorem
  • •Derive relations between kinetic and potential energy
  • •Understand the Hellmann-Feynman theorem
  • •Calculate atomic polarizability
  • •Apply to spectroscopic measurements

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Key Expectation ValuesThe Virial TheoremVerification for Ground StateUncertainty Relations
Day 432Day 433 of 2,016Day 434