The exam can be conducted in Polish or in English. It consists of 3 parts:

Part I: A short (10 min) presentation of the applicant’s research experience (such as undergraduate thesis work).

Part II: Presentation of three topics selected (by the exam committee) from the following list:

  1. Inertial frames of reference; Galilean and Lorentz transformations
  2. The Lagrange formulation of mechanics
  3. The Hamiltonian in classical and quantum mechanics
  4. Symmetries and integrals of motion
  5. Maxwell equations
  6. Electromagnetic waves
  7. Electric and magnetic properties of matter
  8. The Schrödinger equation and the interpretation of the wave function
  9. Observables in quantum mechanics; the Heisenberg uncertainty principle
  10. Quantum description of the hydrogen atom
  11. Principles of thermodynamics
  12. Maxwell-Boltzmann, Bose-Einstein and Fermi-Dirac distributions

Part III: Presentation of a selected topic related to the future research program (about 20 min). The topic will be sent to the candidate by e-mail two weeks before the exam date.

Each part of the exam is evaluated separately on a scale of A-D. An applicant may be admitted to our Graduate Studies Program if each of the three parts receives at least a C grade.