Individual course details
Study programme Physics
Chosen research area (module) Physics Education, Applied Physics
Nature and level of studies Baclelor academic studies
Name of the course Quantum Theoretical Physics
Professor (lectures) Maja Buric, Edib Dobardzic
Professor/associate (examples/practical) Dusko Latas, Zoran P. Popovic
Professor/associate (additional)  
ECTS 7 Status (required/elective) required
Access requirements Mathematics 2, Fundamentals of Theoretical Mechanics, Methods of Mathematical Physics
Aims of the course The aim of the course is to introduce students to quantum-mechanical description of nature and to basic quantum phenomena. A further aim is to teach them to apply quantum-mechanical formalism to physical problems in atomic, nuclear and molecular physics as well as in condensed matter physics.
Learning outcomes Students should understand properties of the Schroedinger equation and its solutions, and be able to relate them with the behavior of the real physical systems. Students should be able to solve simple problems in one, two and three dimensions and in finite physical systems, and and also to apply perturbation theory.
Contents of the course
Lectures 1. Introduction: Black body radiation, interference, Compton effect, Bohr atom. 2. Time-dependent and stationary Schroedinger equation. 3. Statistical interpretation: probability density, continuity equation. 4. Free particle, evolution of the Gaussian wave packet. 5. Potential wells and barriers, bound states, energy levels. 6. Tunell effect, WKB approximation. 7. Harmonic oscillator. 8. Elements of the quantum-mechanical formalism:states and observables, Dirac notation. 9. Uncertainty relations, Ehrenfest theorem. 10. Canonical quantization, creation and annihilation operators. 11. Symmetries: parity, translations. 12. Angular momentum. 13. Particle in a spherically-symmetric potential, spherical harmonics. 14. Hydrogen atom. 15. Spin 1/2, Pauli matrices. 16. Identical particles, Pauli principle. 17. Time-independent perturbation theory, Stark and Zeeman effects. 18. Time-dependent perturbation theory, radiative transitions in atoms. 19. Variational method. 20. Emlements of the scattering theory.
Examples/ practical classes Example classes follow the lectures. The following demonstration experiments complement the course: 1. Electron interference on graphene. 2. Measurement of reflection and transmission coefficients . 3. Visualisation of infinite potential well model. 4. Zeeman effect. 
Recommended books
1  P.J.E Peebles, Quantum Mechanics, Princeton University Press, 1992
2 W Greiner, Quantum Mechanics. An Introduction, Springer, 2007
3  E. Merzbacher, Quantum Mechanics, Wiley, 1997
4 E. Dobardzic, Quantum Physics, http://www.bg.ac.rs
5 S. Elezovic-Hadzic, V. Prokic, Elementary problems in Quantum Mechanics, University of Belgrade, 1996
Number of classes (weekly)
Lectures Examples&practicals   Student project Additional
4 3      
Teaching and learning methods lectures, example classes, numerical simulations, demonstration experiments
100
assesed coursework mark examination mark
coursework 5 written examination 25
practicals   oral examination 45
papers 25    
presentations