Numerical Calculations in Quantum Mechanics 2
Code  Completion  Credits  Range  Language 

02NVKM2  Z  3  0+3  Czech 
 Lecturer:
 Tutor:
 Supervisor:
 Department of Physics
 Synopsis:

Advanced methods to solve quantummechanical problems. Solution of the LippmannSchwinger equation for real potential  bound states and scattering. Presentation of some tools useful in the calculation in Quantum Field Theory.
 Requirements:

Knowledge of basic course of physics and numerical mathematics
 Syllabus of lectures:
 Syllabus of tutorials:

T1 : Potential with Coulombic interaction.
T2 : Semispectral methods for calculation of the integrodifferential
equations.
T3 : LippmannSchwinger equation.
T4 : LippmannSchwinger equation.
T5 : LippmannSchwinger equation.
T6 : Relativistic Quantum Mechanics, scattering of the pion on the
potential barrier.
T7 : Relativistic Quantum Mechanics, scattering of the pion on the
potential barrier.
T8 : Basic calculation on the lattice, programming language PYTHON.
T9 : Project Beowulf.
T10: Manipulation with the gamma matrices, tools CADABRA and FORM.
T11: Libraries FeynArts. Introduction to ROOT.
T12: Presentation of projects.
 Study Objective:

Knowledge:
Methods for numerical calculation of basic problems in quantum mechanics
Abilities:
Implementation of these methods in given programming languages
 Study materials:

Key references:
[1] James M. Feagin: Quantum Methods with Mathematica, SpringerVerlag, New York, 1994
Recommended references:
[2] W. H. Press, S. A. Teukolsky, W. T. Vetterling, B. P. Flannery,Numerical Recipes, Cambridge University Press, 2007
Media and tools:
PC lab with Linux and programs ROOT, FORTRAN, PYTHON, FORM
 Note:
 Further information:
 No timetable has been prepared for this course
 The course is a part of the following study plans:

 Experimentální jaderná a částicová fyzika (elective course)