Course: Quantum Theory II.

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Course title Quantum Theory II.
Course code UFY/KT2
Organizational form of instruction Lecture + Lesson
Level of course Master
Year of study not specified
Frequency of the course In academic years starting with an odd year (e.g. 2017/2018), in the winter semester.
Semester Winter
Number of ECTS credits 6
Language of instruction Czech
Status of course Compulsory
Form of instruction unspecified
Work placements unspecified
Recommended optional programme components None
Course availability The course is available to visiting students
  • Polívka Tomáš, prof. RNDr. Ph.D.
Course content
Content of lectures: 1. Perturbation theory I. Time-independent perturbation theory, two-level and multi-level system, first and second order corrections, perturbation theory for degenerate states, variation theory. 2. Perturbation theory II. Time-dependent perturbation theory, two-level system, Rabi formula, oscillating perturbation, transition rates, Fermi Golden Rule, Einstein coefficients, lifetimes of excited states. 3. Energy levels of molecules. Electronic, vibrational and rotational spectra, Born-Oppenheimer approximation, Franck-Condon principle, selection rules for absorption and emission 4. Interaction of electromagnetic field with electric and magnetic dipole of molecules. Spin-orbit interaction, singlet and triplet states, Zeeman effect, Stark effect, NMR, EPR. 5. Molecular symmetry and vibrational spectra. Infrared and Raman spectra, structure and intensity of spectral lines, chirality, circular dichroism. 6. Excitation. Localized and delocalized excitation, excitons, excitation energy transfer, Forster and Dexter transfer. 7. The second quantization. Quantization of electromagnetic field. 8. Band theory of solids. Band structure, conductors, isolators, semiconductors, Brillouin zones, phonons, exciton-phonon interaction.

Learning activities and teaching methods
Monologic (reading, lecture, briefing), Dialogic (discussion, interview, brainstorming)
  • Class attendance - 48 hours per semester
  • Preparation for classes - 60 hours per semester
  • Preparation for exam - 25 hours per semester
Learning outcomes
The lecture gives an overview of the quantum description of the interactions of electromagnetic field with matter. The lecture includes a description of the electron, vibration and magnetic transitions of molecules, transfer of excitation energy, relaxation processes, and nonlinear laser effects. The aim is to provide basic information necessary for understanding the optical spectroscopy, NMR and EPR spectroscopy and laser functions.
Knowledge of general physics (basics of mechanics, thermodynamics, optics and atomic physics), basic knowledge of quantum mechanics from the course Quantum theory I. Knowledge of methods of mathematical analysis (derivation, integrals, differential equations, Fourier transformation)
Passing the course Quantum Theory I

Assessment methods and criteria
Student performance assessment, Systematic student observation, Colloquium

Passing oral exam, activity during lectures and practicals.
Recommended literature
  • Atkins, P.W., Friedman, R.S. Molecular Quantum Mechanics, Oxford.
  • Atkins, P.W. Physical Chemistry. Oxford.
  • Beiser, A.: Úvod do moderní fyziky. Academia, Praha 1975.
  • Davydov, A.S.: Kvantová mechanika. SPN Praha 1978.
  • Gilbert, A., Bagott, J. Essentials of Molecular Photochemistry, Blackwell 1991.
  • Loudon, R. Quantum Theory of Light.
  • Prosser, V.: Experimentální metody biofyziky. Academia, Praha 1989.

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): Biophysics (1) Category: Physics courses - Recommended year of study:-, Recommended semester: Winter