M. Christiansen

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20212025

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Brueckner Formula for the Correlation Energy of the Electron Gas: A Rigorous Upper Bound in the Mean-Field Regime

17 citations · 39 across the 8 of their papers we have counts for

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math-ph2023★ 4 cited

Hilbert-Schmidt Estimates for Fermionic 2-Body Operators

Martin Ravn Christiansen

We prove that the 2-body operator $γ_{2}^{Ψ}$ of a fermionic $N$ -particle state $Ψ$ obeys $∣∣ γ_{2}^{Ψ} ∣ ∣_{H S} \leq 5 N$ , which complements the bound of Yang that $||γ_2^Ψ||_{op} \le…

math-ph2023

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…