Relation of Static and instantaneous basis sets

  The form is 
  H =  H0 + V(t)
  and in the fixed basis it is given by a matrix
  The R-dependence of the matrices is of a single form

  The purpose is to show (especially in the next task)
  the relation between 
  static basis set time-dependent theory 
  and
  time-dependent theory based on instantaneous eigenstates 
    i.e.
    basis set of so-called adiabatic perturbation theory.

Here we practice some "Matrix Mechanics", by finding the eigenvalues and looking at the R-dependence of the eigenstates

Index