Eigenvalue asymptotics for the one-particle density matrix and one-particle kinetic energy density operator

Søren Fournais, Alexander V. Sobolev

Let $\psi (\mathbf{x})$, $\mathbf{x}\in {\mathbb{R}}^{3N}$, be an eigenfunction of the $N$-particle atomic Schrödinger operator. We consider the one-particle density matrix $\gamma (x,y)$…