68 citations · 311 across the 20 of their papers we have counts for
20 papers
Miniatures on Open Quantum Systems
Jan Derezinski, Vojkan Jaksic, Claude-Alain Pillet
We presents a unified and concise exposition of key topics in the mathematical theory of open quantum systems, developed within the framework of operator algebras. The manuscript c…
On radial Schroedinger operators with a Coulomb potential: General boundary conditions
J. Derezinski, J. Faupin, Q. N. Nguyen +1
This paper presents the spectral analysis of 1-dimensional Schroedinger operator on the half-line whose potential is a linear combination of the Coulomb term 1/r and the centrifuga…
Pseudodifferential Weyl Calculus on (Pseudo-)Riemannian Manifolds
Jan Dereziński, Adam Latosiński, Daniel Siemssen
One can argue that on flat space the Weyl quantization is the most natural choice and that it has the best properties (e.g. symplectic covariance, real symbols corre…
On radial Schroedinger operators with a Coulomb potential
J. Derezinski, S. Richard
This paper presents a thorough analysis of 1-dimensional Schroedinger operators whose potential is a linear combination of the Coulomb term 1/r and the centrifugal term 1/r^2. We a…
Homogeneous rank one perturbations and inverse square potentials
Jan Derezinski
Following [D,BDG,DR], I describe several exactly solvable families of closed operators. Some of these families are defined by the theory of singular rank one perturbations. The rem…
Homogeneous rank one perturbations
Jan Dereziński
A holomorphic family of closed operators with a rank one perturbation given by the function is studied. The operators can be used in a toy model of renormalizatio…