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math-ph2024
A mathematical analysis of IPT-DMFT
Éric Cancès, Alfred Kirsch, Solal Perrin-Roussel
We provide a mathematical analysis of the Dynamical Mean-Field Theory, a celebrated representative of a class of approximations in quantum mechanics known as embedding methods. We…
math-ph2023
Some mathematical insights on Density Matrix Embedding Theory
Eric Cancès, Fabian M. Faulstich, Alfred Kirsch +2
This article provides the first mathematical analysis of the Density Matrix Embedding Theory (DMET) method. We prove that, under certain assumptions, (i) the exact ground-state den…