Matthew Liew

activity

20192022

most citedConvergence towards the Vlasov-Poisson Equation from the

N

-Fermionic Schrödinger Equation

2 citations · 4 across the 2 of their papers we have counts for

collaborators

3 papers

math-ph2022★ 2 cited

A mixed-norm estimate of the two-particle reduced density matrix of many-body Schrödinger dynamics for deriving the Vlasov equation

Li Chen, Jinyeop Lee, Yue Li +1

We re-examine the combined semi-classical and mean-field limit in the $N$ -body fermionic Schrödinger equation with pure state initial data using the Husimi measure framework. The H…

math-ph2021★ 2 cited

Convergence towards the Vlasov-Poisson Equation from the $N$ -Fermionic Schrödinger Equation

Li Chen, Jinyeop Lee, Matthew Liew

We consider the quantum dynamics of $N$ interacting fermions in the large $N$ limit. The particles in the system interact with each other via repulsive interaction that is regulari…

math-ph2019

Combined mean-field and semiclassical limits of large fermionic systems

Li Chen, Jinyeop Lee, Matthew Liew

We study the time dependent Schrödinger equation for large spinless fermions with the semiclassical scale $ℏ = N^{- 1/3}$ in three dimensions. By using the Husimi measure define…

A mixed-norm estimate of the two-particle reduced density matrix of many-body Schrödinger dynamics for deriving the Vlasov equation

Convergence towards the Vlasov-Poisson Equation from the N-Fermionic Schrödinger Equation

Combined mean-field and semiclassical limits of large fermionic systems

Convergence towards the Vlasov-Poisson Equation from the $N$ -Fermionic Schrödinger Equation