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 studies leading to Bachelor's degree |
| Beginning semester | winter term 2020/2021 |
| 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 |
Familiarize students with the interpretation of quantum phenomena and mathematical foundations of the description of these phenomena.
Familiarize students with the interpretation of quantum phenomena and mathematical foundations of the description of these phenomena.
Lecture:
1. Experiments and observations that led to the emergence of quantum mechanics.
2. Postulates of quantum mechanics.
3. Assigning operators to physical observables.
4. Eigenvalue problems for position, momentum and angular momentum operators.
5. Postulate on mean (expectation) values, intrpretation of the wave function.
6. Position representation, momentum representation.
7. Problem of simultaneous measurements of several physical quantities, uncertainty principle.
8. Time evolution, wave-particle duality
9. Hydrogen atom.
10. Harmonic oscillator
11. Potential barrier.
12. Spin and statistics, fermions, bosons.
13. Applications in medical physics.
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. P. Rozmej, Foundation of quantum mechanics, pdf file for students.
2. S. Brandt, H.D. Dahmen, The picture book of quantum mechanics, Springer, 2001.
[1] J. Brojan, J. Mostowski, K. Wódkiewicz, Zbiór zadań z mechaniki kwantowej, PWN 1978.
[2] L. I. Schiff, Mechanika kwantowa, PWN, 1977 (Quantum Mechanics, McGraw–Hill, New York).
Modified by dr hab. Piotr Lubiński, prof. UZ (last modification: 04-06-2020 15:08)
