Relevance of coordinate and particle-number scaling in density functional theory

Eduardo Fabiano, Lucian A. Constantin

We discuss a $\beta$-dependent family of electronic density scalings of the form $n_{\lambda }(\mathbb{R})={\lambda }^{3\beta +1}n({\lambda }^{\beta }\mathbb{R})$ in the context of density functional theory. In particular, we consider t…