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