| Course title | Quantum Mechanics 2 |
|---|---|
| Course code | SLO/KM2X |
| Organizational form of instruction | Lecture + Exercise |
| Level of course | Master |
| Year of study | 1 |
| Semester | Summer |
| Number of ECTS credits | 6 |
| Language of instruction | Czech |
| Status of course | Compulsory |
| Form of instruction | Face-to-face |
| Work placements | This is not an internship |
| Recommended optional programme components | None |
| Lecturer(s) |
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| Course content |
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1. Time-dependent perturbation theory a. Harmonic perturbation 2. Statistical operator, Liouville equation, density matrix, pure and mixed states. 3. Lagrangian and Hamiltonian of a particle in electromagnetic field, Landau levels, spinless particle, Pauli equation, calibration invariance. 4. Spin revisited a. Magnetic resonance b. Addition of spins, singlet and triplet states, baryons and mesons 5. Identical particles a. Permutations, spin and statistics, fermions and bosons b. Covalent bond, ortho and para hydrogen c. Fock states, second quantization, creation and annihilation operators. 6. Symmetries, generators of translations and rotations. 7. Crystals, solid state, band structure a. Bloch waves b. Brilloune zones 8. Evolution in time revisited a. Hamiltonian as generator of time translations, evolution operator b. Free particle propagator, Green functions c. Schrödinger and Heisenberg pictures, Dirac picture 9. Simple scattering theory a. Lippmann-Schwinger equation b. Scattering amplitude, cross-section c. Born series, Coulomb and Yukawa potentials d. Optical theorem 10. Dirac equation a. Derivation, bispinors, gamma matrices, Dirac algebra b. Basic properties and solutions
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| Learning activities and teaching methods |
Lecture
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| Learning outcomes |
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Principles of quantum mechanics.
Knowledge Describe the presented principles and laws of quantum mechanics. |
| Prerequisites |
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Prior knowledge of the undergraduate physics.
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| Assessment methods and criteria |
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Mark, Oral exam
Knowledge within the scope of the course topics (examination). |
| Recommended literature |
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| Study plans that include the course |
| Faculty | Study plan (Version) | Category of Branch/Specialization | Recommended semester | |
|---|---|---|---|---|
| Faculty: Faculty of Science | Study plan (Version): Applied Physics (2019) | Category: Physics courses | 1 | Recommended year of study:1, Recommended semester: Summer |