In the field of Mathematical Physics,
the kinetic theory of gases and,
in particular, the Boltzmann equation, have been a fundamental
research line for our department, with a great international resonance.
All this thanks to Carlo Cercignani, Professor
at the Politecnico di Milano since 1968, who was one of the most eminent and authoritative
founders of the modern theory of the Boltzmann equation.

There was however another aspect of the scientific life of Carlo Cercignani less known but
not less important: his interest for the foundations of Physics, in particular the relations between classical and quantum mechanics.

Based on this tradition, the research lines of our group are divided in two main branches:
one devoted to the study of the Boltzmann equation (its methods of solution, its applications
to fluid dynamics), while the other dedicated to the deepening of quantum mechanics and quantum field theory.