Browsing Quantum Mechanics by Author "Bru, J.B."
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Microscopic Conductivity of Lattice Fermions at Equilibrium. Part II: Interacting Particles
Bru, J.B.; de Siqueira Pedra, W. (20160101)We apply Liebâ€“Robinson bounds for multicommutators we recently derived (Bru and de Siqueira Pedra, Liebâ€“Robinson bounds for multicommutators and applications to response theory, 2015) to study the (possibly nonlinear) ... 
Microscopic Conductivity of Lattice Fermions at Equilibrium. Part II: Interacting Particles
Bru, J.B.; de Siqueira Pedra, W. (20151231)We apply Lieb–Robinson bounds for multicommutators we recently derived (Bru and de Siqueira Pedra, Lieb–Robinson bounds for multicommutators and applications to response theory, 2015) to study the (possibly nonlinear) ... 
Noncooperative Equilibria of Fermi Systems With Long Range Interactions
Bru, J.B.; de Siqueira Pedra, W. (201307)We define a Banach space $\mathcal{M}_{1}$ of models for fermions or quantum spins in the lattice with long range interactions and explicit the structure of (generalized) equilibrium states for any $\mathfrak{m}\in ... 
Quantum Dynamics Generated by LongRange Interactions for Lattice Fermion and Quantum Spins
Bru, J.B.; de Siqueira Pedra, W. (2021)We study the macroscopic dynamics of fermion and quantumspin systems with longrange, or meanfield, interactions, which turns out to be equivalent to an intricate combination of classical and shortrange quantum dynamics. ... 
Quantum Fluctuations and Large Deviation Principle for Microscopic Currents of Free Fermions in Disordered Media
Bru, J.B.; de Siqueira Pedra, W.; Ratsimanetrimanana, A. (2020)We contribute an extension of largedeviation results obtained in [N.J.B. Aza, J.B. Bru, W. de Siqueira Pedra, A. Ratsimanetrimanana, J. Math. Pures Appl. 125 (2019) 209] on conductivity theory at atomic scale of free ... 
Universal bounds for large determinants from noncommutative Hölder inequalities in fermionic constructive quantum field theory
Bru, J.B.; de Siqueira Pedra, W. (20170802)Efficiently bounding large determinants is an essential step in nonrelativistic fermionic constructive quantum field theory to prove the absolute convergence of the perturbation expansion of correlation functions in terms ... 
Universal Bounds for Large Determinants from Non–Commutative Ho ̈lder Inequalities in Fermionic Constructive Quantum Field Theory
Bru, J.B.; de Siqueira Pedra, W. (20160101)Efficiently bounding large determinants is an essential step in non–relati vistic fermionic constructive quantum field theory, because, together with the summability of the interaction and the covariance, it implies the ... 
Weak* Hypertopologies with Application to Genericity of Convex Sets
Bru, J.B.; de Siqueira Pedra, W. (2022)We propose a new class of hypertopologies, called here weak$^{\ast }$ hypertopologies, on the dual space $\mathcal{X}^{\ast }$ of a real or complex topological vector space $\mathcal{X}$. The most wellstudied and wellknown ...