3 papers
math-ph2020
Some properties of the potential-to-ground state map in quantum mechanics
Louis Garrigue
We analyze the map from potentials to the ground state in static many-body quantum mechanics. We first prove that the space of binding potentials is path-connected. Then we show th…
math-ph2019
Hohenberg-Kohn theorems for interactions, spin and temperature
Louis Garrigue
We prove Hohenberg-Kohn theorems for several models of quantum mechanics. First, we show that the pair correlation function of any ground state contains the information of the inte…
math.AP2018
Unique continuation for many-body Schrödinger operators and the Hohenberg-Kohn theorem
Louis Garrigue
We prove the strong unique continuation property for many-body Schrödinger operators with an external potential and an interaction potential both in ,…