GOTO, Yukimi

Title
Assistant Professor
Field
Mathematical Physics
Research interests
Quantum Many-Particle Systems
Current research

I am working on many body problems in quantum mechanics. In particular, I am interested in the mathematical structure of atoms and molecules. Recently, I have also been working on quantum field theory on lattices and models related to condensed matter physics.
Selected publications
  1. (with T. Koma) "Nambu-Goldstone Modes in a Lattice Nambu-Jona-Lasinio Model with Multi Flavor Symmetries," J. Math. Phys. 65, 102301 (2024)
  2. (with T. Koma) Spontaneous Mass Generation and Chiral Symmetry Breaking in a Lattice Nambu-Jona-Lasinio Model, Commun. Math. Phys. 404(3), 1463-1493 (2023).
  3. Born-Oppenheimer Potential Energy Surfaces for Kohn-Sham Models in the Local Density Approximation, Ann. Henri Poincaré 23, 1765-1790 (2022).
  4. The Maximal Excess Charge in Reduced Hartree-Fock Molecule, Rev. Math. Phys. 33, 2150008 (2021).
  5. Binding of Atoms in Müller Theory, J. Math. Phys. 60, 041901 (2019)
  6. Absence of a Ground State for Bosonic Coulomb Systems with Critical Charge, Rep. Math. Phys. 81, 177-184 (2018).