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pro vyhledávání: '"Goto, Yukimi"'
Autor:
Goto, Yukimi
We show that the $N$-electron Hamiltonian $H(N, Z)$ with the total nuclear charge $Z$ has no normalizable ground state if the ground state energy $E(N, Z)$ satisfies $E(N, Z)= E(N-1, Z)$ for $Z=N-1$. For anions $\mathrm{He}^-, \mathrm{Be}^-, \mathrm{
Externí odkaz:
http://arxiv.org/abs/2403.07642
Autor:
Goto, Yukimi, Koma, Tohru
We study a lattice Nambu-Jona-Lasinio model with SU(2) and SU(3) flavor symmetries of staggered fermions in the Kogut-Susskind Hamiltonian formalism. This type of four-fermion interactions has been widely used for describing low-energy behaviors of s
Externí odkaz:
http://arxiv.org/abs/2310.15922
Autor:
Goto, Yukimi, Koma, Tohru
Publikováno v:
Communications in Mathematical Physics, 404(3), 1463-1493 (2023)
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 usual continuous chiral symmetry. In a strong coupling regime for the fo
Externí odkaz:
http://arxiv.org/abs/2209.06031
Autor:
Goto, Yukimi
Bounds are studied for the maximum number, $N_c$, of electrons that can be bound to $K$ atoms of the total nuclear charge $Z$. It is proved that $N_c < \min\{2Z+1, 1.22Z + 3Z^{1/3}\}$ in Schr\"odinger theory. This improves Lieb's bound $N_c < 2Z+K$ a
Externí odkaz:
http://arxiv.org/abs/2107.01826
Autor:
Goto, Yukimi
Publikováno v:
Annales Henri Poincar\'e 23, 1765-1790 (2022)
We show that the Born-Oppenheimer potential energy surface in Kohn-Sham theory behaves like the corresponding one in Thomas-Fermi theory up to $o(R^{-7})$ for small nuclear separation $R$. We also prove that if a minimizing configuration exists, then
Externí odkaz:
http://arxiv.org/abs/2104.09057
Autor:
Goto, Yukimi
Publikováno v:
Rev. Math. Phys. 33, 2150008 (2021)
We consider a molecule described by the Hartree-Fock model without the exchange term. We prove that nuclei of total charge $Z$ can bind at most $Z+C$ electrons, where $C$ is a constant independent of $Z$.
Comment: 32 pages; final version, to app
Comment: 32 pages; final version, to app
Externí odkaz:
http://arxiv.org/abs/2002.11864
Autor:
Goto, Yukimi
Publikováno v:
J. Math. Phys. 60, 041901 (2019)
We give a necessary and sufficient condition for the existence of molecules in M\"uller theory. Furthermore, we show that if a system is stable in Born-Oppenheimer approximation, then the bound on the positive excess charge $ Z-N \le cZ^{1-\epsilon}$
Externí odkaz:
http://arxiv.org/abs/1812.11754
Autor:
Goto, Yukimi
Publikováno v:
Rep. Math. Phys. 81, 177-184 (2018)
We consider bosonic Coulomb systems with $N$-particles and $K$ static nuclei. Let $E_N^Z$ denote the ground state energy of a bosonic molecule of the total nuclear charge $Z$. We prove that the system has no normalizable ground state when $E_{N}^{N-1
Externí odkaz:
http://arxiv.org/abs/1605.02949
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Autor:
Goto, Yukimi
Publikováno v:
In Reports on Mathematical Physics April 2018 81(2):177-184