Proof of the Strong Scott Conjecture for Atomic and Molecular Cores
Alexei Iantchenko, Elliott H. Lieb, Heinz Siedentop
Abstract
The strong Scott conjecture about the electron density at a distance 1/Z from an atomic nucleus of charge Z and its generalization for molecules are proved. The density, suitably scaled, converges to an explicit limiting density as Z ∞. Both a weak convergence and a pointwise convergence on spheres holds.
Create a lesson
Related papers
Knots in Condensed Matters
Y. M. Cho
Bouchaud's model exhibits two different aging regimes in dimension one
Gerard Ben Arous, Jiri Cerny
Periodic diffraction patterns for 1D quasicrystals
Pawel Buczek, Lorenzo Sadun, Janusz Wolny
Adiabatic association of ultracold molecules via magnetic field tunable interactions
Krzysztof Goral, Thorsten Koehler, Simon A. Gardiner et al.
High-Temperature Atomic Superfluidity in Lattice Boson-Fermion Mixtures
F. Illuminati, A. Albus
Constructive Methods of Invariant Manifolds for Kinetic Problems
A. N. Gorban, I. V. Karlin, A. Yu. Zinovyev