35 citations · 74 across the 10 of their papers we have counts for
4 papers · 2 filters
Extended Weak Coupling Limit for Pauli-Fierz Operators
Jan Derezinski, Wojciech De Roeck
We consider the weak coupling limit for a quantum system consisting of a small subsystem and reservoirs. It is known rigorously since [Dav74] that the Heisenberg evolution restrict…
Perturbative estimates on the transport cross section in quantum scattering by hard obstacles
W. De Roeck, E. L. Lakshtanov
The quantum scattering by smooth bodies is considered for small and large values of , with the wavenumber and the scale of the body. In both regimes, we prove that the…
Extended Weak Coupling Limit for Friedrichs Hamiltonians
Jan Derezinski, Wojciech De Roeck
We study a class of self-adjoint operators defined on the direct sum of two Hilbert spaces: a finite dimensional one called sometimes a ``small subsystem'' and an infinite dimensio…
Quantum Macrostates, Equivalence of Ensembles and an H-Theorem
W. De Roeck, C. Maes, K. Netocny
Before the thermodynamic limit, macroscopic averages need not commute for a quantum system. As a consequence, aspects of macroscopic fluctuations or of constrained equilibrium requ…