SubjectsSubjects(version: 912)
Course, academic year 2021/2022
  
Advanced Quantum Mechanics for Chemists - P403019
Title: Pokročilá kvantová mechanika pro chemiky
Guaranteed by: Department of Physical Chemistry (403)
Faculty: Faculty of Chemical Engineering
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 [HT]
Capacity: unlimited / unlimited (unknown)
Min. number of students: unlimited
Language: Czech
Teaching methods: full-time
Level:  
For type: doctoral
Note: course is intended for doctoral students only
can be fulfilled in the future
Guarantor: Slavíček Petr prof. RNDr. Bc. Ph.D.
Interchangeability : D453011
Is interchangeable with: AP403019
Annotation -
Last update: Slavíček Petr prof. RNDr. Bc. Ph.D. (19.09.2018)
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: Slavíček Petr prof. RNDr. Bc. Ph.D. (19.09.2018)

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: Slavíček Petr prof. RNDr. Bc. Ph.D. (19.09.2018)

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

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

Learning resources -
Last update: Slavíček Petr prof. RNDr. Bc. Ph.D. (19.09.2018)

http://www.vscht.cz/fch/cz/vyuka/N403007.html

Teaching methods - Czech
Last update: Slavíček Petr prof. RNDr. Bc. Ph.D. (19.09.2018)

Přednášky a cvičení.

Syllabus -
Last update: Řehák Karel doc. Ing. CSc. (24.10.2018)

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: Slavíček Petr prof. RNDr. Bc. Ph.D. (19.09.2018)

Mathematics I, Physics I

Course completion requirements -
Last update: Slavíček Petr prof. RNDr. Bc. Ph.D. (19.09.2018)

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

 
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