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CZECH TECHNICAL UNIVERSITY IN PRAGUE
STUDY PLANS
2020/2021

Selected Topics from Physics

The course is not on the list Without time-table
Code Completion Credits Range Language
12VPF Z,ZK 4 4 Czech
Lecturer:
Tutor:
Supervisor:
Department of Physical Electronics
Synopsis:

Particle wave properties. Basic atomic and molecular structure. Bohr's atomic models. The Schrodinger equation. Applications of the Schrodinger equation. The Quantum Theory of the hydrogen atom. Chemical reactions. Multiple electron atoms. Atomic and molecular spectra.

Requirements:
Syllabus of lectures:

1.Classical physics and quantum mechanics. Black body radiation. Photoelectric effect.

2.Planck radiation formula for black body. Einstein's theory of photoelectric effect. Compton effect. Wave properties of particles. Davisson-Germer experiment.

3.Quantum mechanics. Wave function. Monochromatic wave. Superposition of waves. Wave packets. Heisenberg uncertainty relations.

4.Schrödinger equation: steady state form. Boundary conditions for steady state Schrödinger equation. Eigenvalues and eigenfunctions. Schrödinger equation: time-dependent form.

5.Simple quantum mechanical systems: free particle, particle in a box, finite potential well, harmonic oscillator, tunnel effect.

6.Approximate methods in quantum theory.

7.Correspondence between classical physics and quantum mechanics. Dirac quantum conditions.

8.Spin. Many-electron atoms. Exclusion principle. Hatree-Fock method of self-consistent field.

9.Atomic physics. Thomson model of the atom. Electron. Elementary electric charge. Rutherford model of the atom.

10.Quantum theory of the hydrogen atom. Quantum numbers. Electron probability density.

11.Many-electron atoms. Atomic structure. Periodic table. Spin-orbit coupling. Total angular momentum.

12.Charged particle in external electric and magnetic field. Zeeman effect. Stark effect. Stern-Gerlach experiment. Einstein- de Haas experiment.

13.Spectra of many-electron atoms. X-ray spectra.

14.Molecular bond. Electron sharing. Hydrogen molecule. Complex molecules. Rotational energy levels. Vibrational energy levels. Electronic spectra of molecules.

Syllabus of tutorials:

Each lecture will be completed with a corresponding tutorial to deepen and complete the content of the lecture, and to develop computing abilities of students.

Study Objective:

Knowledge:

Introduction to molecular and nuclear physics, quantum physics. Structure of matter, atoms, electrons. Particle-wave duality. The structure of hydrogen atom. Multiple electron atoms.

Skills:

Ability to apply acquired knowledge to basic problems of molecular and nuclear physics, quantum physics, structure of matter and atoms.

Study materials:

Key references:

[1] S.T. Thornton, A. Rex: Modern Physics for Scientists and Engineers. Brooks Cole; 3 edition, 2005.

[2] Beiser, A., Concepts of Modern Physics. McGraw-Hill Science/Engineering/Math; 6 edition 2002.

[3] Haken, H. - Wolf, H.C., The Physics of Atoms and Quanta. 7th Edition. Springer, Berlin 2005.

Recommended references:

[4] Haken, H. - Wolf, H.C., Molecular Physics and Elements of Quantum Chemistry. Springer, Berlin 2004.

[5] Drake, G.F.W. (ed.), Atomic, Molecular, & Optical Physics Handbook. Springer, Berlin 2005.

[6] http://www.google.com/search?q=quantum+mechanics

[7] Visual Quantum Mechanics, http://www.kfunigraz.ac.at/imawww/vqm/

[8] Math, Physics and Engineering Applets, http://www.falstad.com/mathphysics.html

[9] Quantum Physics Online, http://www.quantum-physics.polytechnique.fr/

Note:
Further information:
No time-table has been prepared for this course
The course is a part of the following study plans:
Data valid to 2021-03-02
For updated information see http://bilakniha.cvut.cz/en/predmet24711705.html