List of Topics:Their Purpose
### List of Topics: Their Purpose

Each of the links brings you to description of the topic's purpose.
Below in this page, we give a combined and unified version of these individual
explanations

### Individual descriptions of the purpose

Index

### Unified description of the course ( purpose )

### Introduction

Here we need to introduce the computers, repeat the theory
from the general text and define the
structure.
Links to introductory sections:

### Experiment etc

This is a reading section, shows relation to other fields

About Experiment

concept of cross section, coincidence...

### TASK 1

### G-functions

The single-centre problem is described in file (gfun.tex)
which should be included in the general description.
This task has been included because
it is possible to see all the complexity of the problem,
and still the simple concept of the radial G-functions.
Read the Theory for the G-function Task .

### TASK 2

### Relation of Static and instantaneous basis sets

In this section we work with a model hamiltonian.

** THE RESULTS: explanations to task 2 and 3**

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

### TASK 3

Here we use the Runge-Kutta method to solve the
equations for coefficients in expansion of Wave Function
in TDSE.

** THE RESULTS: explanations to task 2 and 3**
Basic element in the semiclassical theory of collisions

### TASK 4

### Impact Parameter introduced

This shows again a "more practical" relation to the
experimental situation.

** THE RESULTS: explanations to task 4 (imprunge)**

We calculate the probabilities for time functions
corresponding to the trajectories.

### And here are again links to the individual descriptions of the purposes
of each task

Index