Periodic Potentials

The following sections are included:

• Introductory Remarks

• Cosine Potential: Weak Coupling Solutions

  • The Floquet exponent

  • Four types of periodic solutions

• Cosine Potential: Strong Coupling Solutions

  • Preliminary remarks

  • The solutions

  • The eigenvalues

  • The level splitting

• Elliptic and Ellipsoidal Potentials

  • Introduction

  • Solutions and eigenvalues

  • The level splitting

  • Reduction to Mathieu functions

• Concluding Remarks