Now showing items 37-42 of 42

• #### Quantum Dynamics Generated by Long-Range Interactions for Lattice Fermion and Quantum Spins ﻿

(2021)
We study the macroscopic dynamics of fermion and quantum-spin systems with long-range, or mean-field, interactions, which turns out to be equivalent to an intricate combination of classical and short-range quantum dynamics. ...
• #### Quantum Fluctuations and Large Deviation Principle for Microscopic Currents of Free Fermions in Disordered Media ﻿

(2020)
We contribute an extension of large-deviation results obtained in [N.J.B. Aza, J.-B. Bru, W. de Siqueira Pedra, A. Ratsimanetrimanana, J. Math. Pures Appl. 125 (2019) 209] on conductivity theory at atomic scale of free ...
• #### Time Dynamics in Quantum Field Theory Systems ﻿

(2022-12-23)
In this doctoral thesis, we develop and investigate new mathematical tools that are intended to allow for a rigorous description of non–perturbative quantum field theory (QFT) dynamics. Here, the term QFT is to be understood ...
• #### 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 ...
• #### Universal Bounds for Large Determinants from Non–Commutative Ho ̈lder Inequalities in Fermionic Constructive Quantum Field Theory ﻿

(2016-01-01)
Efficiently bounding large determinants is an essential step in non–relati- vistic fermionic constructive quantum field theory, because, together with the summability of the interaction and the covariance, it implies the ...
• #### Weak* Hypertopologies with Application to Genericity of Convex Sets ﻿

(2022)
We propose a new class of hypertopologies, called here weak$^{\ast }$ hypertopologies, on the dual space $\mathcal{X}^{\ast }$ of a real or complex topological vector space $\mathcal{X}$. The most well-studied and well-known ...