Contents

• Practice with Mathematical Manipulations
  • Hermitian Inner Product
  • Hemiticity of Operators
  • Manipulation of Fourier Integrals
  • Pure States
• Computer Assignment
• A Wave Packet in Simple Harmonic Motion: Coherent State of Simple Harmonic Oscillator
  • Effective equations for A(t), B(t) and C(t)
  • Solutions of constant width
  • Rigid shape of the probability distribution
  • Conservation of probability
  • Correspondence Principle/Ehrenfest's Theorem
  • Connection to Problem 2
• A Wave Packet Moving with Constant Acceleration
  • Apply Ehrenfest's Theorem
    • Generate the equations
    • Solve the equations
    • Interpret your results
  • Full Solution
    • Generate the equations
    • Solve the equations
    • Interpret your results
  • Connection to Problem 2
• About this document ...