QLunch:Fourier Expansion of the Fermion k-Body Reduction – University of Copenhagen

QMath > Events > Quantum Lunch > w9 Robert Rauch

QLunch:Fourier Expansion of the Fermion k-Body Reduction

Speaker: Robert Rauch, Technische Universität Braunschweig

Title: Fourier Expansion of the Fermion k-Body Reduction

Abstract: The N-representability problem is a long-standing open problem in quantum chemistry and has regained attention by groundbreaking results on the more general quantum marginal problem of quantum information theory over the last two decades. In this talk, we briefly review general representability problems for finite-dimensional fermion systems from a geometric viewpoint. The central object of interest is the k-body reduction of the fermion many-particle state. Based on recent results on the orthogonalization of fermion k-body operators, we will present new relations between the k-body reduction and the traditional reduced density matrices.