3 papers
math.AP2023
Sharp endpoint estimates of quantum Schrödinger groups
Zhijie Fan, Guixiang Hong, Liang Wang
In this article, we establish sharp endpoint estimates of Schrödinger groups on general measure spaces which may not be equipped with good metrics but admit submarkovian semi…
cond-mat.str-el2022
Atomistic simulation of Mott transition in fluid metals: Combining molecular dynamics with dynamical mean-field theory
Zhijie Fan, Gia-Wei Chern
We present a new quantum molecular dynamics (MD) method where the electronic structure and atomic forces are solved by a real-space dynamical mean-field theory (DMFT). Contrary to…
math.FA2022
Endpoint weak Schatten class estimates and trace formula for commutators of Riesz transforms with multipliers on Heisenberg groups
Zhijie Fan, Ji Li, Edward McDonald +2
Along the line of singular value estimates for commutators by Rochberg-Semmes, Lord-McDonald-Sukochev-Zanin and Fan-Lacey-Li, we establish the endpoint weak Schatten class estimate…