Mathematics of Bose-Einstein condensation (course webpage)



Where and when: Mondays 13:15-17:00 (room. B.0.17)
Lecture notes: version 2022
Lectures/exercises contents (more or less):
  • 02.10.2024: introduction, motivations, history, many-body Hamiltonian, operators on Hilbert spaces, quantites of interest, tensor products of Hilbert spaces
  • 07.10.2024: Fock spaces, creation and annihilation operators, second quantization of one-body operators, CCR, 2nd quantization of two-body operators, second quantized form of Hamilotnian, spectrum of diagonal operators on Fock space.
  • 14.10.2024: BEC in ideal gas, critical temperature, reduced densities and definition of BEC, ODLRO.
  • 21.10.2024: scaling regimes (mean-field, Gross-Pitaevskii), scattering length
  • 28.10.2024: ground state energy of the mean-field Bose gas



  • Examination topics
    -->

    Email address: marcin.napiorkowskiINfuw.edu.sk (please replace "IN" by "@" and "sk" by "pl")
    October 2024