SylabUZ
| Course name | Quantum mechanics foundations |
| Course ID | 13.2-WF-FizP-QMF-S17 |
| Faculty | Faculty of Physics and Astronomy |
| Field of study | Physics |
| Education profile | academic |
| Level of studies | First-cycle Erasmus programme |
| Beginning semester | winter term 2017/2018 |
| Semester | 5 |
| ECTS credits to win | 6 |
| Course type | obligatory |
| Teaching language | english |
| Author of syllabus |
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| The class form | Hours per semester (full-time) | Hours per week (full-time) | Hours per semester (part-time) | Hours per week (part-time) | Form of assignment |
| Lecture | 30 | 2 | - | - | Exam |
| Class | 30 | 2 | - | - | Credit with grade |
To acquaint students with the basics of quantum mechanics and its formalism
Knowledge of basic physics, mathematical methods of physics, elements of algebra and mathematical analysis
Lecture: Experimental foundations of quantum physics. Corpuscular properties of the electromagnetic radiation. Wave properties of particles. Atoms structure. Mathematical methods in Quantum Mechanics – vectors spaces, Hilbert spaces, operators, discrete and continuous and discrete basis representation. Quantum postulates and their consequences – the state of the quantum system, a correspondence of observables with operators, an eigenvalue problem, probabilistic interpretation of results of measurements, the time evolution of the quantum system. Uncertainty relation. Symmetries: space translations and time translations. Quantum Mechanics of a particle in one dimension: a free particle, harmonic oscillator. Quantum Mechanics of a particle in three dimensions: angular momentum. Symmetries in quantum mechanics - symmetries with respect to a shift in space and in time, rotational symmetries s - relationship with conservation laws. A hydrogen-like atom.
Theoretical class: Problems and exercises for the lecture: elements of a theory of the linear operators in the Hilbert space, uncertainty principle, the square potential barrier, potential well, symmetries, , rotational symmetries - relationship with conservation laws.
Conventional lecture, classes.
| Outcome description | Outcome symbols | Methods of verification | The class form |
Lectures: passing a final written exam,
Classes: passing a final test.
Before taking the examination the student needs to obtain passing grade in the computational exercises.
The final grade: the arithmetic average of the examination grade and computational exercises grade
[1] R. L. Liboff, Wstęp do mechaniki kwantowej, PWN, 1987 (Introductory Quantum Mechanics, Holden–Day, San Francisco).
[2] L. D. Landau, E. M. Lifszic, Mechanika kwantowa, PWN (L. D. Landau, E. M. Lifshitz, Quantum mechanics: Nonrelativistic theory, Pergamon Press).
[3] L. I. Schiff, Mechanika kwantowa, PWN, 1977 (Quantum Mechanics, McGraw–Hill, New York).
[4] Nouredine Zettili, Quantum Mechanics: Concepts and Applications, 2nd ed., Willey 2009.
[5] Michel Le Bellac, Quantum Physics, Cambridge 2006.
[1] J. Brojan, J. Mostowski, K. Wódkiewicz, Zbiór zadań z mechaniki kwantowej, PWN 1978.
Modified by dr hab. Maria Przybylska, prof. UZ (last modification: 09-07-2018 22:27)
