2 papers
math-ph2026
On the relativistic effect in the Dirac--Fock theory
Long Meng
In this paper, we study the error bound between the Dirac--Fock ground-state energy and the Hartree--Fock ground-state energy, a quantity known as the relativistic effect in quantu…
math.AP2024
Massless Dirac equation on spinor bundles over real hyperbolic spaces
Long Meng, Hong-Wei Zhang, Junyong Zhang
We prove a sharp-in-time dispersive estimate of the Dirac equation on spinor bundles over the real hyperbolic space. Compared with the Euclidean counterparts, our result shows that…