Course: Fundamentals of Quantum Mechanics

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Course title Fundamentals of Quantum Mechanics
Course code SLO/ZKM
Organizational form of instruction Lecture + Exercise
Level of course Bachelor
Year of study 2
Semester Summer
Number of ECTS credits 2
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)
  • Arkhipov Ievgen, Mgr. Ph.D.
  • Kvita Jiří, Mgr. Ph.D.
Course content
1. Historical introduction, quantum hypothesis a. Planck law, black body radiation spectrum, atomic spectra b. photoeffect, Compton scattering c. de Broglie's hypothesis 2. Postulates of quantum mechanics a. Quantum state, principle of superposition, observables b. Probabilistic character of measurement c. Predictions, expectation values 3. Schroedinger equation a. probability density, wave function interpretation, normalization b. Free particle, plane waves 4. The uncertainty principle a. non-compatible observables, commutator, dependence of measured values on the order of measurements. 5. Simple quantum systems and their spectra a. infinite and finite square well and a barrier b. scattering and tunelling c. harmonic oscillator, ladder operators. 6. Angular momentum and spin a. quantization, commutation relations b. spin of an electron, Stern-Gerlach experiment 7. Hydrogen atom a. quantum numbers, stationary states, spectrum.

Learning activities and teaching methods
Lecture, Monologic Lecture(Interpretation, Training)
  • Attendace - 26 hours per semester
  • Homework for Teaching - 17 hours per semester
  • Preparation for the Course Credit - 17 hours per semester
Learning outcomes
To explain fundamentals of quantum mechanics.
Knowledge Understanding of fundamental principles of quantum mechanics.
Prerequisites
Knowledge in the scope of course topics (examination).

Assessment methods and criteria
Student performance

Knowledge within the scope of the course topics.
Recommended literature
  • Feynman, R. P., Leighton, R. B., Sands M. (2010). The Feynman Lectures on Physics, Vol. 3. Basic Books, New York.
  • Griffiths, D. J. (1994). Introduction to Quantum Mechanics. Pearson Prentice Hall, New Jersey.
  • Klíma, J.; Velický, B. (1992). Kvantová mechanika I.. MFF UK Praha.
  • Sakurai, J. J. (1994). Modern Quantum Mechanics. Addison-Wesley, New York.
  • Skála L. (2005). Úvod do kvantové mechaniky. Akademia, Praha.


Study plans that include the course
Faculty Study plan (Version) Category of Branch/Specialization Recommended year of study Recommended semester
Faculty: Faculty of Science Study plan (Version): Nanotechnology (2019) Category: Special and interdisciplinary fields 2 Recommended year of study:2, Recommended semester: Summer
Faculty: Faculty of Science Study plan (Version): Applied Physics (2019) Category: Physics courses 2 Recommended year of study:2, Recommended semester: Summer
Faculty: Faculty of Science Study plan (Version): Instrument and Computer Physics (2019) Category: Physics courses 2 Recommended year of study:2, Recommended semester: Summer