| Individual
course details |
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| Study programme |
Physics |
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| Chosen research
area (module) |
Physics Education, Applied
Physics |
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| Nature and level of studies |
Baclelor academic studies |
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| Name of the course |
Quantum Theoretical Physics |
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| Professor
(lectures) |
Maja Buric, Edib Dobardzic |
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| Professor/associate
(examples/practical) |
Dusko Latas, Zoran P.
Popovic |
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| Professor/associate
(additional) |
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| ECTS |
7 |
Status
(required/elective) |
required |
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| Access requirements |
Mathematics 2, Fundamentals
of Theoretical Mechanics, Methods of Mathematical Physics |
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| 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. |
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| 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. |
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| Contents of the course |
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| 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. |
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| 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. |
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| Recommended books |
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| 1 |
P.J.E Peebles, Quantum Mechanics, Princeton
University Press, 1992 |
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| 2 |
W
Greiner, Quantum Mechanics. An Introduction, Springer, 2007 |
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| 3 |
E. Merzbacher, Quantum Mechanics, Wiley,
1997 |
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| 4 |
E. Dobardzic, Quantum Physics, http://www.bg.ac.rs |
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| 5 |
S.
Elezovic-Hadzic, V. Prokic, Elementary problems in Quantum Mechanics,
University of Belgrade, 1996 |
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| Number of classes
(weekly) |
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| Lectures |
Examples&practicals |
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Student
project |
Additional |
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| 4 |
3 |
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| Teaching and learning methods |
lectures,
example classes, numerical simulations, demonstration experiments |
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| 100 |
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| assesed coursework |
mark |
examination |
mark |
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| coursework |
5 |
written examination |
25 |
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| practicals |
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oral examination |
45 |
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| papers |
25 |
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| presentations |
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