2 problems

Let $M\geqslant2$, let $R_1,\ldots,R_M\in\mathbb{R}^3$, and let $\nu_m\geqslant0$ satisfy $\sum_{m=1}^M\nu_m\leqslant1$. Let $D_0$ be the free Dirac operator and let $\lambda_1$ de…

Let $M\geqslant2$, let $R_1,\ldots,R_M\in\mathbb{R}^3$ be nuclear positions, and let $\nu_1,\ldots,\nu_M\geqslant0$ be nuclear charges. Write … for the molecular energy, where the…