## Search

Now showing items 11-20 of 34

#### Measure-valued weak solutions to some kinetic equations with singular kernels for quantum particles

(2018-12-19)

In this thesis, we present a mathematical study of three problems arising in the kinetic theory of quantum gases.
In the first part, we consider a Boltzmann equation that is used to describe the time evolution of the ...

#### Isotropic Bipolaron-Fermion-Exchange Theory and Unconventional Pairing in Cuprate Superconductors

(2018-12-10)

The discovery of high-temperature superconductors in 1986 represented a major experimental breakthrough (Nobel Prize 1987), but their theoretical explanation is still a subject of much debate. These materials have many ...

#### On a Boltzmann equation for Compton scattering, from non relativistic electrons at low density.

(2018-08-15)

A Boltzmann equation, used to describe the Compton scattering in the non-relativistic limit is considered. A truncation of the very singular redistribution function is introduced and justified. The existence of weak solutions ...

#### On a system of equations for the normal fluid - condensate interaction in a Bose gas

(2018-03-27)

The existence of global solutions for a system of differential equations is proved, and some of their properties are described. The system involves a kinetic equation for quantum particles. It is a simplified version of ...

#### Existence of “$d$-wave” Pairs and Density Waves in a Class of Microscopic Models for High Transition Temperature Superconductors

(2018-03-21)

High-temperature superconductors have different properties than conventional superconductors, one of these important properties is non-isotropic symmetry of the order parameter. In this work we present a model that shows ...

#### Decay of Complex-time Determinantal and Pfaffian\ Correlation Functionals in Lattices

(2018-01-24)

We supplement the determinantal and Pfaffian bounds of Sims and Warzel (Commun Math Phys 347:903--931, 2016) for many-body localization of quasi-free fermions, by considering the high dimensional case and complex-time ...

#### Universal bounds for large determinants from non-commutative Hölder inequalities in fermionic constructive quantum field theory

(2017-08-02)

Efficiently bounding large determinants is an essential step in non-relativistic fermionic constructive quantum field theory to prove the absolute convergence of the perturbation expansion of correlation functions in terms ...

#### Isotropic Bipolaron-Fermion-Exchange Theory and Unconventional Pairing in Cuprate Superconductors

(2017-05-03)

The discovery of high-temperature superconductors in 1986 represented a major experimental breakthrough (Nobel Prize 1987), but their theoretical explanation is still a subject of much debate. These materials have many ...

#### Lieb–Robinson Bounds for Multi–Commutators and Applications to Response Theory

(2017)

We generalize to multi-commutators the usual Lieb–Robinson bounds for commutators. In the spirit of constructive QFT, this is done so as to allow the use of combinatorics of minimally connected graphs (tree expansions) in ...

#### Geometric inequalities from phase space translations

(2016-07-22)

We establish a quantum version of the classical isoperimetric inequality relating the Fisher information and the entropy power of a quantum state. The key tool is a Fisher information inequality for a state which results ...