Contents

• List of Figures
• Spreading of the Gaussian Wave Packet (25 pts)
• Quantum Pinball (25 pts)
  • Analysis of a single collision
  • Uncertainty in ball's direction after the first collision
  • Magnification of errors
  • Perfect gambling device
• Order of Magnitude Estimates from the HUP (25 pts)
  • Potential Energy
  • Kinetic Energy
  • Minimum Total Energy and Contributions
  • Energy of Confinement
  • Balance between Kinetic and Potential Energy
  • Correspondence Principle
  • Make Your own Estimate of the Energy and Size of the Hydrogen Atom
• Semiquantitative Results Using Semiclassical Quantization/Correspondence Principle and Energy Spacing (25 pts)
  • Classical orbits
  • Semiclassical quantization
  • Comparison with Results from the HUP
  • Correspondence Principle Argument
  • Spacing Between States
  • Example of Exploiting the Correspondence Principle
  • Your own Calculation of the Energy of the Hydrogen Atom
• About this document ...