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Quantum mechanics has a fundamental importance in the study of material fields. It allows to understand the behavior of very small objects ranging from from nanostructures to single atoms and even subatomic objects. It represents a way to formulate laws describing the phenomena in materials and apply them to the understanding of new ones. The course focuses on understanding the apparatus of quantum mechanics and its application in the study of fundamental problems of microcosm.
Last update: Siegel Jakub (02.09.2013)
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Students will be able to: Explain basic relations and operations with operators in the coordinate representation. Apply mathematical tools needed to solve quantum-mechanics problems of microsystems, build the appropriate Schrödinger equation. Solve the basic problems arising from the approximation of quantum-mechanical harmonic oscillator. Present quantum-mechanical solution of particle in the field of central forces. Last update: TAJ126 (24.09.2013)
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R: Written materials of lecturer R: A.S.Davidov, Quantum mechanics, SPN Praha, 1986. ISBN 80-7235-960-6 A: L.Skála, Introduction to Quantum Mechanics, Academia, 2005. ISBN 80-2001-316-4 Last update: TAJ126 (23.09.2013)
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Educational materials for lectures available at the teacher. Last update: TAJ126 (28.11.2013)
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Active participation in lectures. Solving tasks in the exercises. Last update: Siegel Jakub (02.09.2013)
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1. Introduction to quantum theory. 2. Basic mathematical apparatus of quantum theory. 3. Postulates of quantum mechanics. 4. Theorems of commensurability of quantities, Heisenberg uncertainty principle. 5. Introduction to theory of representation. 6. Time dependence of wave functions and operators. 7. Linear harmonic oscillator (LHO) in the x-representation. 8. Solution of LHO in the energy representation. 9. LHO in the representation of occupation numbers. 10. The movement of particles in the field of central forces (I). 11. The movement of particles in the field of central forces (II). 12. Hydrogen atom (I). 13. Hydrogen atom (II). 14. Hydrogen atom (III). Last update: Siegel Jakub (02.09.2013)
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Mathematics II, Physics II Last update: Siegel Jakub (02.09.2013)
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| Teaching methods | ||||
| Activity | Credits | Hours | ||
| Konzultace s vyučujícími | 0.5 | 14 | ||
| Účast na přednáškách | 1 | 28 | ||
| Příprava na přednášky, semináře, laboratoře, exkurzi nebo praxi | 1 | 28 | ||
| Příprava na zkoušku a její absolvování | 1.5 | 42 | ||
| Účast na seminářích | 1 | 28 | ||
| 5 / 4 | 140 / 112 | |||
| Coursework assessment | |
| Form | Significance |
| Continuous assessment of study performance and course -credit tests | 20 |
| Oral examination | 80 |