6 citations · 10 across the 4 of their papers we have counts for
7 papers · 1 filter
Positive energy quantization of linear dynamics
Jan Derezinski, Christian Gérard
The abstract mathematical structure behind the positive energy quantization of linear classical systems is described. It is separated into 3 stages: the description of a classical…
Quantum scattering at low energies
Jan Derezinski, Erik Skibsted
For a class of negative slowly decaying potentials, including with , we study the quantum mechanical scattering theory in the low-energy regime. Using mod…
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…
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…
Bogoliubov Hamiltonians and one parameter groups of Bogoliubov transformations
L. Bruneau, J. Derezinski
On the bosonic Fock space, a family of Bogoliubov transformations corresponding to a strongly continuous one-parameter group of symplectic maps R(t) is considered. Under suitable a…
Introduction to representations of the canonical commutation and anticommutation relations
Jan Derezinski
Lecture notes of a minicourse given at the Summer School on Large Coulomb Systems - QED in Nordfjordeid, 2003, devoted to representations of the CCR and CAR. Quasifree states, the…