Before beginning this topic, students should:

  • Know how to represent the displacement of a chain of monatomic molecules using an envelope function.
  • Have some experience in quantum mechanics, including using the energy eigenvalue equation and Schrodinger's equation.
  • Understand how to represent quantum states using bra-ket notation or function notation.
  • Be able to comfortably transition between bra-ket notation and function notation.
  • Have experience with the properties of observables.
  • Know how to find the eigenvectors and eigenvalues for a matrix.

Personal Tools