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math.AP2023
Lower bound for solutions to the secular equation in a direct sum of the Sobolev spaces of divided regions
Sohei Ashida
In this paper a lower bound for solutions to the secular equation of the Schrödinger equation with basis functions discontinuous on boundaries of divided regions is given. If the f…
math.AP2022
Convergence of SCF sequences for the Hartree-Fock equation
Sohei Ashida
The Hartree-Fock equation is a fundamental equation in many-electron problems. It is of practical importance in quantum chemistry to find solutions to the Hartree-Fock equation. Th…
math.AP2020
Structures of sets of solutions to the Hartree-Fock equation
Sohei Ashida
The Hartree-Fock equation which is the Euler-Lagrange equation corresponding to the Hartree-Fock energy functional is used in many-electron problems. Since the Hartree-Fock equatio…