Bin Chen

activity

20232026

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math-ph2026

Pseudo-relativistic fermionic systems with attractive Yukawa potential

Bin Chen, Yujin Guo, Phan Thành Nam +1

We study the Hartree-Fock and Hartree-Fock-Bogoliubov theories for a large fermionic system with the pseudo-relativistic kinetic energy and an attractive Yukawa interaction potenti…

math-ph2023

Ground States of Fermionic Nonlinear Schrödinger Systems with Coulomb Potential II: The $L^{2}$ -Critical Case

Bin Chen, Yujin Guo, Shu Zhang

As a continuation of \cite{me}, we consider ground states of the $N$ coupled fermionic nonlinear Schrödinger system with a parameter $a$ and the Coulomb potential $V (x)$ in the $L…

math-ph2023

Ground States of Fermionic Nonlinear Schrödinger Systems with Coulomb Potential I: The $L^{2}$ -Subcritical Case

Bin Chen, Yujin Guo

We consider ground states of the $N$ coupled fermionic nonlinear Schrödinger systems with the Coulomb potential $V (x)$ in the $L^{2}$ -subcritical case. By studying the associated con…

Pseudo-relativistic fermionic systems with attractive Yukawa potential

Ground States of Fermionic Nonlinear Schrödinger Systems with Coulomb Potential II: The L2-Critical Case

Ground States of Fermionic Nonlinear Schrödinger Systems with Coulomb Potential I: The L2-Subcritical Case

Ground States of Fermionic Nonlinear Schrödinger Systems with Coulomb Potential II: The $L^{2}$ -Critical Case

Ground States of Fermionic Nonlinear Schrödinger Systems with Coulomb Potential I: The $L^{2}$ -Subcritical Case