List of faculty

GOTO, Yukimi( GOTO, Yukimi ) / Assistant Professor

Faculty , Department

Faculty of Mathematics : Division of Analysis


Quantum Many-Body Systems, Partial Differential Equations

I have been studying many-body problems in quantum mechanics. I am particularly interested in what atoms and molecules are stable. Mathematically, it corresponds to the eigenvalue problem for partial differential equations, and I want to understand quantum mechanics by studying the properties of its solutions. The original Schroedinger equation is a linear differential equation, but nonlinear equations sometimes appear as approximate theories for many-body problems. I am also interested in investigating the mathematical properties of such approximate theories used in physics and chemistry.