2 citations · 5 across the 12 of their papers we have counts for
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The second order Huang-Yang formula to the 3D Fermi gas: the Gross-Pitaevskii regime
Xuwen Chen, Jiahao Wu, Zhifei Zhang
For a system of Fermions of spin , with its interaction potential of scattering length , the classical Huang-Yang formula states that the energy density is of th…
Derivation of the compressible Euler equations from the dynamics of interacting Bose gas in the hard-core limit regime
Jacky Chong, Shunlin Shen, Zhifei Zhang
We investigate the dynamics of short-range interacting Bose gases with varying degrees of diluteness and interaction strength. By applying a combined mean-field and semiclassical s…
Global derivation of the 1D Vlasov-Poisson equation from quantum many-body dynamics with screened Coulomb potential
Xuwen Chen, Shunlin Shen, Ping Zhang +1
We study the 1D quantum many-body dynamics with a screened Coulomb potential in the mean-field setting. Combining the quantum mean-field, semiclassical, and Debye length limits, we…
The Second Order 2D Behaviors of a 3D Bose Gases in the Gross-Pitaevskii Regime
Xuwen Chen, Jiahao Wu, Zhifei Zhang
We consider a system of bosons interacting in a three-dimensional box endowed with periodic boundary condition that is strongly confined in one direction such that the normaliz…