SubjectsSubjects(version: 949)
Course, academic year 2023/2024
Advanced Quantum Mechanics for chemical physics and sensorics - AP403021
Title: Advanced Quantum Mechanics for chemical physics and sensorics
Guaranteed by: Department of Physical Chemistry (403)
Faculty: Faculty of Chemical Engineering
Actual: from 2019
Semester: both
Points: 0
E-Credits: 0
Examination process:
Hours per week, examination: 2/1, other [HT]
Capacity: winter:unknown / unknown (unknown)
summer:unknown / unknown (unknown)
Min. number of students: unlimited
Language: English
Teaching methods: full-time
Teaching methods: full-time
For type: doctoral
Note: course is intended for doctoral students only
can be fulfilled in the future
you can enroll for the course in winter and in summer semester
Guarantor: Slavíček Petr prof. RNDr. Bc. Ph.D.
Kolafa Jiří prof. RNDr. CSc.
Kolář Michal doc. RNDr. Ph.D.
Interchangeability : P403021
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: 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: Pátková Vlasta (16.11.2018)

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.

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.