Annotation: Advanced topics of quantum theory for those who have passed the introductory courses of quantum mechanics. The course focused especially on interaction of light and matter, but basic introduction to quantum field theory is also included. The course will provide necessary theoretical background, but it will also give the connection between theory and experiment. 1. Time-independent perturbation theory, two- and multi-level system, the first and second order corrections, degenerate states, variation theory, limits of application 2. Time-dependent perturbation theory, two-level system, Rabi formula, periodic perturbation, transition probability, Fermi's golden rule, Einstein coefficients 3. Energy levels of molecules, electronic, vibrational and rotational spectra, Born-Oppenheimer approximation, Franck-Condon factors, selection rules 4. Angular momentum in a composite systems, Clebsch-Gordan coefficients, spin-orbit interaction, singlet and multiplet states 5. Molecular symmetry and vibronic spectra, Raman scattering, anharmonic oscillator 6. Electric properties of matter, polarizability, optical activity, Stark effect, circular dichroism 7. Magnetic properties of matter, paramagnetism, fine and hyperfine structure of spectral lines, NMR, EPR 8. Localized and delocalized excitation, exciton, excitation energy transfer, Forster and Dexter transfer 9. Introduction to quantum fiedd field theory, creation and annihilation operators, quantum states of fields, number states, coherent states Tutorials: Tutorials support lectures and are based on numerical solution and derivation of phenomena presented during the lectures.
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Atkins, P. W.; Friedman, R. S. Molecular quantum mechanics. 4th ed. Oxford : Oxford University Press, 2005. ISBN 978-0-19-927498-7.
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Cohen-Tannoudji, C., Diu, B., Laloe, F.. Quantum Mechanics. Wiley, 2005.
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Loudon, Rodney. The quantum theory of light. 3rd ed. Oxford : Oxford University Press, 2000. ISBN 978-0-19-850176-3.
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