2 citations · 3 across the 5 of their papers we have counts for
5 papers
A Trichotomy for Modified Scattering Across the Yukawa-Coulomb Transition
Yonggeun Cho, Jinyeop Lee
We study the long-time asymptotics of the three-dimensional Hartree equation with Yukawa potential \[ V_μ(x)=\frac{e^{-μ|x|}}{|x|}, \qquad 0\leqμ\leq1. \] The Coulomb case correspo…
Quantitative Derivation of the Two-Component Gross--Pitaevskii Equation in the Hard-Core Limit with Uniform-in-Time Convergence Rate
Jacky Chong, Jinyeop Lee, Zhiwei Sun
We derive the time-dependent two-component Gross--Pitaevskii (GP) equation as an effective description of the dynamics of a dilute two-component Bose gas near its ground state, whi…
Exactly solvable Schrödinger operators related to the confluent equation
Jan Dereziński, Jinyeop Lee
Our paper investigates one-dimensional Schrödinger operators defined as closed operators on or that are exactly solvable in terms of confluent…
Derivation of Vlasov equations for multi-species fermions
Hongshuo Chen, Li Chen, Jinyeop Lee +1
We explore a system of two-species fermions with particles. Through this exploration, we establish a two-species Husimi measure and construct a two-species Bogoliubov-Born-Gree…
Second Order Expansion of Gibbs State Reduced Density Matrices in the Gross-Pitaevskii Regime
Christian Brennecke, Jinyeop Lee, Phan Thành Nam
We consider a translation-invariant system of bosons in that interact through a repulsive two-body potential with scattering length of order in the li…