Numerical Calculations in Quantum Mechanics 1

Garant předmětu:

Lecturer:

Tutor:

Supervisor:

Department of Physics

Synopsis:

Introduction to Quantum Mechanics in Mathematica. Introduction to the numerical methods as well as to the basics of a few programming languages. Calculation of basic systems - particle in a box and a

square-well potential.

Requirements:

Knowledge of basic course of physics and numerical mathematics

Syllabus of lectures:

Syllabus of tutorials:

T1 : The very beginning introduction to the Mathematica.

T2 : Basic Quantum Mechanical problems in Mathematica.

T3 : Basic Quantum Mechanical problems in Mathematica.

T4 : Advanced Quantum Mechanical problems in Mathematica.

T5 : Advanced Quantum Mechanical problems in Mathematica.

T6 : Introduction to C and Fortran.

T7 : Numerical integration. Summary of the numerical methods to solve

integrodifferential equations.

T8 : Variable phase method.

T9 : Particle in a box.

T10: Particle in a box.

T11: Square-well potential.

T12: Square-well potential.

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 FORTRAN, C, Mathematica

Note:

Further information:

No time-table has been prepared for this course

The course is a part of the following study plans: