Semiquantitative Results Using Semiclassical Quantization/Correspondence Principle and Energy Spacing (25 pts)

In this problem, you will analyze the consequences of the de Broglie relations (i.e., Bohr-Sommerfeld quantization) on the motion of particles in the same potential as in Problem 3.

• 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