17 citations · 39 across the 8 of their papers we have counts for
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A Correlational Bound for Eigenvalues of Fermionic 2-Body Operators
Martin Ravn Christiansen
We prove that the eigenvalues of a 2-body operator associated to a fermionic -particle state are highly constrained by the structure of the corresponding eigenvect…
The Correlation Energy of the Electron Gas in the Mean-Field Regime
Martin Ravn Christiansen, Christian Hainzl, Phan Thành Nam
We prove a rigorous lower bound on the correlation energy of interacting fermions in the mean-field regime for a wide class of singular interactions, including the Coulomb potentia…
Hilbert-Schmidt Estimates for Fermionic 2-Body Operators
Martin Ravn Christiansen
We prove that the 2-body operator of a fermionic -particle state obeys , which complements the bound of Yang that $||γ_2^Ψ||_{op} \le…
Emergent Quasi-Bosonicity in Interacting Fermi Gases
Martin Ravn Christiansen
This thesis concerns the correlation structure of interacting Fermi gases on a torus in the mean-field regime. A bosonization method in the spirit of Sawada is developed to analyze…
The Gell-MannBrueckner Formula for the Correlation Energy of the Electron Gas: A Rigorous Upper Bound in the Mean-Field Regime
Martin Ravn Christiansen, Christian Hainzl, Phan Thành Nam
We prove a rigorous upper bound on the correlation energy of interacting fermions in the mean-field regime for a wide class of interaction potentials. Our result covers the Coulomb…
On the Effective Quasi-Bosonic Hamiltonian of the Electron Gas: Collective Excitations and Plasmon Modes
Martin Ravn Christiansen, Christian Hainzl, Phan Thành Nam
We consider an effective quasi-bosonic Hamiltonian of the electron gas which emerges naturally from the random phase approximation and describes the collective excitations of the g…
The Random Phase Approximation for Interacting Fermi Gases in the Mean-Field Regime
Martin Ravn Christiansen, Christian Hainzl, Phan Thành Nam
We present a general approach to justify the random phase approximation for the homogeneous Fermi gas in three dimensions in the mean-field scaling regime. We consider a system of…