3 papers
math-ph2021
The maximal negative ion of molecules in Schrödinger, Hartree-Fock, and Müller theories
Yukimi Goto
Bounds are studied for the maximum number, , of electrons that can be bound to atoms of the total nuclear charge . It is proved that $N_c < \min\{2Z+1, 1.22Z + 3Z^{1/3}…
math-ph2020
The maximal excess charge in reduced Hartree-Fock molecule
Yukimi Goto
We consider a molecule described by the Hartree-Fock model without the exchange term. We prove that nuclei of total charge can bind at most electrons, where is a cons…
math-ph2018
Binding of atoms in Müller theory
Yukimi Goto
We give a necessary and sufficient condition for the existence of molecules in Müller theory. Furthermore, we show that if a system is stable in Born-Oppenheimer approximation, the…