16 citations · 69 across the 18 of their papers we have counts for
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math-ph2017★ 1 cited
Bounds on the Pure Point Spectrum of Lattice Schrödinger Operators
Volker Bach, Walter de Siqueira Pedra, Saidakhmat Lakaev
In dimension , a variational principle for the size of the pure point spectrum of (discrete) Schrödinger operators on the hypercubic lattice $\mathbb{Z…
math-ph2017
Universal Bounds for Large Determinants from Non-Commutative Hölder Inequalities in Fermionic Constructive Quantum Field Theory
J. -B. Bru, W. de Siqueira Pedra
Efficiently bounding large determinants is an essential step in non-relativistic fermionic constructive quantum field theory to prove the absolute convergence of the perturbation e…
math-ph2017★ 5 cited
Microscopic Conductivity of Lattice Fermions at Equilibrium - Part II: Interacting Particles
Jean-Bernard Bru, Walter de Siqueira Pedra
We apply Lieb-Robinson bounds for multi-commutators we recently derived to study the (possibly non-linear) response of interacting fermions at thermal equilibrium to perturbations…