Publications Influence

Share This Author

Scattering theory of classical and quantum N-particle systems

- J. Dereziński, C. Gérard
- Mathematics
- 1997

0. Introduction.- 1. Classical Time-Decaying Forces.- 2. Classical 2-Body Hamiltonians.- 3. Quantum Time-Decaying Hamiltonians.- 4. Quantum 2-Body Hamiltonians.- 5. Classical N-Body Hamiltonians.- 6.… Expand

Asymptotic Completeness in Quantum Field Theory. A Class of Galilei-Covariant Models

- J. Dereziński
- Mathematics
- 1 February 1998

0. Introduction 192 1. General Definitions 195 1.1. Hilbert spaces 195 1.2. Homomorphisms of commutative C∗and W ∗-algebras 196 1.3. Permutations 197 1.4. Clusters 197 1.5. Cartesian and tensor… Expand

Scattering Theory of Infrared Divergent
Pauli-Fierz Hamiltonians

- J. Dereziński, C. Gérard
- Mathematics, Physics
- 1 June 2004

Abstract.
We consider in this paper the scattering theory of infrared divergent massless
Pauli-Fierz Hamiltonians. We show that the CCR representations obtained
from the asymptotic field contain… Expand

Return to Equilibrium for Pauli-Fierz Systems

- J. Dereziński, V. Jaksic
- Physics
- 1 August 2003

Abstract.
We study ergodic properties of Pauli-Fierz systems – W*-dynamical systems
often used to describe the interaction of a small quantum system with a
bosonic free field at temperature $ T \geq… Expand

Perturbation Theory of W*-Dynamics, Liouvilleans and KMS-States

- J. Dereziński, V. Jaksic, C. Pillet
- Mathematics
- 1 July 2003

Given a W*-algebra ${\mathfrak M}$ with a W*-dynamics τ, we prove the existence of the perturbed W*-dynamics for a large class of unbounded perturbations. We compute its Liouvillean. If τ has a β-KMS… Expand

Spectral Theory of Pauli–Fierz Operators

- J. Dereziński, V. Jaksic
- Mathematics, Physics
- 10 March 2001

Abstract We study spectral properties of Pauli–Fierz operators which are commonly used to describe the interaction of a small quantum system with a bosonic free field. We give precise estimates of… Expand

Homogeneous Schrödinger Operators on Half-Line

- L. Bruneau, J. Dereziński, V. Georgescu
- Mathematics
- 30 November 2009

The differential expression $${L_m=-\partial_x^2+(m^2-1/4)x^{-2}}$$ defines a self-adjoint operator Hm on L2(0, ∞) in a natural way when m2 ≥ 1. We study the dependence of Hm on the parameter m show… Expand

Mathematics of Quantization and Quantum Fields

- J. Dereziński, C. Gérard
- Mathematics
- 15 April 2013

Preface 1. Vector spaces 2. Operators in Hilbert spaces 3. Tensor algebras 4. Analysis in L2(Rd) 5. Measures 6. Algebras 7. Anti-symmetric calculus 8. Canonical commutation relations 9. CCR on Fock… Expand

ASYMPTOTIC COMPLETENESS IN QUANTUM IN FIELD THEORY: MASSIVE PAULI–FIERZ HAMILTONIANS

- J. Dereziński, C. Gérard
- Mathematics
- 1 April 1999

Spectral and scattering theory of massive Pauli–Fierz Hamiltonians is studied. Asymptotic completeness of these Hamiltonians is shown. The proof consists of three parts. The first is a construction… Expand

Spectral and Scattering Theory¶of Spatially Cut-Off P(ϕ)2 Hamiltonians

- J. Dereziński, C. Gérard
- Mathematics, Physics
- 1 September 2000

Abstract:We study spatially cut-off P(ϕ)2 Hamiltonians. We show the local finiteness of the pure point spectrum outside of thresholds, the limiting absorption principle and asymptotic completeness of… Expand

...

1

2

3

4

5

...