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math.SP2021★ 10 cited
Approximating the ground state eigenvalue via the effective potential
Ilias Chenn, Wei Wang, Shiwen Zhang
In this paper, we study 1-d random Schrödinger operators on a finite interval with Dirichlet boundary conditions. We are interested in the approximation of the ground state energy…
math.AP2021
On a Novel Effective Equation of the Reduced Hartree-Fock Theory
Ilias Chenn, Svitlana Mayboroda, Wei Wang +1
We show that there is an one-to-one correspondence between solutions to the Poisson-Landscape equations and the reduced Hartree-Fock equations in the semi-classical limit at low te…
math-ph2021
On the Reduced Hartree-Fock Equations with a Small Anderson Type Background Charge Distribution
Ilias Chenn, Shiwen Zhang
We demonstrate that the reduced Hartree-Fock equation (REHF) with a small Anderson type background charge distribution has an unique stationary solution by explicitly computing a s…