1 citations · 3 across the 5 of their papers we have counts for
6 papers
Spontaneous mass generation and chiral symmetry breaking in a lattice Nambu-Jona-Lasinio model
Yukimi Goto, Tohru Koma
We study a lattice Nambu-Jona-Lasinio model with interacting staggered fermions in the Kogut-Susskind Hamiltonian formalism. The model has a discrete chiral symmetry but not the us…
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}…
Born-Oppenheimer potential energy surfaces for Kohn-Sham models in the local density approximation
Yukimi Goto
We show that the Born-Oppenheimer potential energy surface in Kohn-Sham theory behaves like the corresponding one in Thomas-Fermi theory up to for small nuclear separat…
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…
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…
On the geometry of graphs associated to infinite-type surfaces
Javier Aramayona, Ferrán Valdez
Consider a connected orientable surface of infinite topological type, i.e. with infinitely-generated fundamental group. We describe the large-scale geometry of arbitrary connec…