The ground-state energy of an atom of nuclear charge Ze and in a magnetic field B is evaluated exactly in the asymptotic regime Z. We show rigorously that there are five regions as Z: BZ4/3, BZ4/3, Z4/3BZ3, BZ3, BZ3. Different regions have different physics and different asymptotic therories. Regions 1,2,3,5 are described exactly by a simple density-functional theory, but only in regions 1,2,3 is it of the semiclassical Thomas-Fermi form. Region 4 cannot be described exactly by any simple density-functonal theory; surprisingly, it can be described by a simple density matrix functonal theory.
All Science Journal Classification (ASJC) codes
- Physics and Astronomy(all)