Browsing Quantum Mechanics by Title
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Quantum Dynamics Generated by LongRange Interactions for Lattice Fermion and Quantum Spins
(2021)We study the macroscopic dynamics of fermion and quantumspin systems with longrange, or meanfield, interactions, which turns out to be equivalent to an intricate combination of classical and shortrange quantum dynamics. ... 
Quantum Fluctuations and Large Deviation Principle for Microscopic Currents of Free Fermions in Disordered Media
(2020)We contribute an extension of largedeviation 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
(20221223)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 noncommutative Hölder inequalities in fermionic constructive quantum field theory
(20170802)Efficiently bounding large determinants is an essential step in nonrelativistic 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
(20160101)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 wellstudied and wellknown ...