Selected Topics of Modern Physics 1102-4FD16
A. Elements of contemporary classical physics:
a. Galileo invariance and Minkowski space-time of special relativity.
b. kinematics and dynamics of particles and rigid solids.
c. constraints, the principle of d'Alembert, Lagrange's equations.
d. variational principles and conservation laws.
e. Noether's theorem.
f. phase space, Hamilton's equations.
g. invariants of canonical transformations, integrals of motion.
h. stability of the phase trajectories.
i. elements of chaos.
j. elements of relativistic dynamics.
k. elements of fluid mechanics.
B. Elements of modern quantum physics
a. systems of many particles.
b. symmetries of the wave function.
c. perturbation - dependent and independent of time.
d. theory of scattering - Born approximation, phase shifts.
e. path integrals - equivalent approaches: Schrödinger, Heisenberg, and Feynman.
f. Dirac equation; relativistic quantum mechanics.
C. Elements of modern statistical physics
a. elements of classical statistical mechanics.
b. elements of quantum statistical mechanics.
c. application of classical and quantum statistical mechanics in thermodynamics and physics of condensed matter.
d. Fermi and Bose statistics.
Mode
Prerequisites (description)
Learning outcomes
The aim of this lecture is:
- to educate students with physical intuition related to the understanding of phenomena and processes that occur in macro- and micro-world;
- to familiarize students with the basic mathematical methods used in modern theoretical physics;
- to learn how to use the mathematical formalism of classical, quantum and statistical physics to describe the phenomena and processes in macro- and micro-world.
After successful completion of the course, students:
- indicate the similarities and differences in the descriptions of classical and quantum phenomena;
- determine the appropriate method of theoretical analysis of the phenomenon;
- use appropriate mathematical method.