2 papers
math.NA2025
Mixed regularity and sparse grid approximations of -body Schrödinger evolution equation
Long Meng, Dexuan Zhou
In this paper, we present a mathematical analysis of time-dependent -body electronic systems and establish mixed regularity for the corresponding wavefunctions. Based on this, w…
math-ph2024
The Ground State Energy of Heavy Atoms: Leading and Subleading Asymptotics
Long Meng, Heinz Siedentop
We study atomic ground state energies for neutral atoms as the nuclear charge is large in the no-pair formalism. We show that for a large class of projections defining the unde…