Numerical Calculations in Quantum Mechanics 2

Course guarantor:

Lecturer:

Tutor:

Supervisor:

Department of Physics

Synopsis:

Advanced methods to solve quantum-mechanical problems. Solution of the Lippmann-Schwinger 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 : Lippmann-Schwinger equation.

T4 : Lippmann-Schwinger equation.

T5 : Lippmann-Schwinger 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, Springer-Verlag, 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 time-table has been prepared for this course

The course is a part of the following study plans: