SubjectsSubjects(version: 877)
Course, academic year 2020/2021
  
Advanced Quantum Mechanics for chemical physics and sensorics - P403021
Title: Pokročilá kvantová mechanika pro chemickou fyziku a senzoriku
Guaranteed by: Department of Physical Chemistry (403)
Actual: from 2019
Semester: both
Points: 0
E-Credits: 0
Examination process:
Hours per week, examination: 2/1 other [hours/week]
Capacity: winter:unknown / unknown (unknown)
summer:unknown / unknown (unknown)
Min. number of students: unlimited
Language: Czech
Teaching methods: full-time
Level:  
For type: doctoral
Note: you can enroll for the course in winter and in summer semester
Guarantor: Slavíček Petr prof. RNDr. Ph.D.
Kolafa Jiří prof. RNDr. CSc.
Kolář Michal RNDr. Ph.D.
Z//Is interchangeable with: AP403021
Annotation -
Last update: Matějka Pavel prof. Dr. RNDr. (16.06.2019)
The course dedicated to Ph.D. students covers more advanced parts of quantum theory which are typically not treated in details within usual chemical curriculum.
Aim of the course -
Last update: Matějka Pavel prof. Dr. RNDr. (13.11.2018)

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: Slavíček Petr prof. RNDr. Ph.D. (13.11.2018)

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. Ph.D. (13.11.2018)

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

Teaching methods - Czech
Last update: Slavíček Petr prof. RNDr. Ph.D. (13.11.2018)

Přednášky a cvičení.

Syllabus -
Last update: Slavíček Petr prof. RNDr. Ph.D. (13.11.2018)

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: Slavíček Petr prof. RNDr. Ph.D. (13.11.2018)

Mathematics I, Physics I

Course completion requirements -
Last update: Slavíček Petr prof. RNDr. Ph.D. (13.11.2018)

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

 
VŠCHT Praha