Purpose of task 2 (PurpTDSE-S)
## Relation of Static and instantaneous basis sets

In this section we work with a model hamiltonian.
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

Description of Task 2

List, all sections purposes
Index