Vojkan Jaksic
Department of Mathematics
McGill University


The Fermi Golden Rule computations play an important role in quantum field theory and quantum statistical mechanics. In this minicourse I will discuss how these computations can be made rigorous for a class of open quantum systems. This class includes Pauli-Fierz systems, which arise as an approximation to non-relativistic QED, and which have been subject of many studies in the recent literature.

I plan to discuss the following topics:

    This minicourse is primarily based on the recent joint work with Jan Derezinski (in preparation). The additional references are:
  1. Davies E.B.: Markovian master equations. Commun. Math. Phys. 39, 91 (1974).
  2. Gorini V., Frigerio A., Veri M., Kossakowski A., Sudarshan E.C.G.: Properties of quantum markovian master equations. Rep. Math. Phys. 13, 149 (1978).
  3. Lebowitz J., Spohn H.: Irreversible thermodynamics for quantum systems weakly coupled to thermal reservoirs. Adv. Chem. Phys. 39, 109 (1978).
  4. Derezinski J., Jaksic V.: Spectral theory of Pauli-Fierz operators. J. Func. Anal. 180, 241 (2000).
  5. Jaksic V., Pillet C.-A.: Mathematical theory of non-equilibrium quantum statistical mechanics. J. Stat. Phys. 108, 787 (2002).
  6. Derezinski J., Jaksic V.: Return to equilibrium for Pauli-Fierz systems, to appear in Ann. Henri Poincare, mp-arc 03-242.