From April 11 to May 11, 2023, Doctor of Chemical Sciences, Senior researcher at the University of Helsinki, Rashid Rinatovich Valiev gave a course of guest lectures on "Quantum Mechanics" for students and university staff.
Brief description of the course
The course is divided into four parts:
1. Fundamentals of classical mechanics and the necessary mathematical minimum:
A. Differential equations and linear algebra.
B. Euler-Lagrange equations.
C. Hamilton 's Equations
C. Hamilton-Jacobi equations.
2. Fundamentals of quantum mechanics.
2.1. Basic postulates and expressions.
2.2. Schrodinger equations
2.3. Harmonic oscillator and motion in a potential field.
2.4. Representations of the wave function.
2.5. Wave packet and Green's function.
2.6. Arbitrary representation and Heisenberg representation
2.7. Matrix representations.
2.8. Density matrix.
2.9. Motion in a spherical field.
2.10. Coulomb potential.
2.11. Angular and spin moment.
2.12. Variation method.
2.13. Perturbation theory.
2.14. Adiabatic approximation.
2.15. Molecules and their electronic states.
3. Theory of photophysics.
A. General remarks.
C. Theoretical calculations.
4. Practice in calculating the spectral characteristics of molecules.
A. Fundamentals of quantum chemistry.
B. Characteristics of electronic spectra.
C. Photophysics of molecules.