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


Unified description of the course ( purpose )


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...



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 .


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 
  time-dependent theory based on instantaneous eigenstates 
    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


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


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