SubjectsSubjects(version: 877)
Course, academic year 2020/2021
Advanced Quantum Mechanics for Chemists - AP403019
Title: Advanced Quantum Mechanics for Chemists
Guaranteed by: Department of Physical Chemistry (403)
Actual: from 2019
Semester: summer
Points: summer s.:0
E-Credits: summer s.:0
Examination process: summer s.:
Hours per week, examination: summer s.:2/1 other [hours/week]
Capacity: unknown / unknown (unknown)
Min. number of students: unlimited
Language: English
Teaching methods: full-time
For type: doctoral
Note: course is intended for doctoral students only
can be fulfilled in the future
Guarantor: Slavíček Petr prof. RNDr. Ph.D.
Interchangeability : D453011, P403019
Annotation -
Last update: Pátková Vlasta (16.11.2018)
The course covers more advanced parts of quantum theory which are typically not treated in details within usual chemical curriculum.
Aim of the course -
Last update: Pátková Vlasta (16.11.2018)

The student will be able to:

understand formalism of quantum theory

actively follow primary literature in theoretical chemistry

analyze molecular experiments in time and energy domains

Literature -
Last update: Jahoda Milan doc. Dr. Ing. (29.11.2018)

R: E. Bittner: Quantum dynamics: applications in biological and materials systems. CRC press, 2009, 1420080539.

R: P. W. Atkins, R. R. Friedman: Molecular Quantum Mechanics, Oxford University Press, Oxford 2010, 0199541426.

Teaching methods - Czech
Last update: Pátková Vlasta (16.11.2018)

Přednášky a cvičení.

Syllabus -
Last update: Pátková Vlasta (16.11.2018)

1. Experimental foundations of quantum mechanics.

2. Postulates of quantum mechanics I: Probability amplitude, superposition principle.

3. Postulates of quantum mechanics II: Mean value, measurables, operators.

4. Postulates of quantum mechanics III: Time evolution.

5. Operator methods in quantum mechanics I: harmonic oscillator, annihilation and creation operator.

6. Operator methods in quantum mechanics I: angular momentum, ladder operators.

7. Perturbation theory: Derivation and applications.

8. Perturbation theory: van der Waals interaction in various perspectives.

9. Time-dependent perturbation theory: constant and harmonic perturbation. Rabi oscillations.

10. Vibrational, rotational, atomic and molecular spectra. Selection rules. Franck-Condon principle.

11. Excitation transfer. Multi-photon processes and perturbation theory of higher orders.

12. Interaction of light and molecules. Spectral lineshapes. Einstein coefficients.

13. Time-dependent approach to spectroscopy. Autocorrelation function.

14. Elements of scattering theory. Green functions.

Registration requirements -
Last update: Pátková Vlasta (16.11.2018)

Mathematics I, Physics I

Course completion requirements -
Last update: Pátková Vlasta (16.11.2018)

The course ends with an oral exam.Individual project focusing on a certain sub=project is part of the course.