Yujin Guo

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math-ph2026

Pseudo-relativistic fermionic systems with attractive Yukawa potential

Bin Chen, Yujin Guo, Phan ThÃ nh 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-ph2024

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

Bin Chen, Yujin Guo

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

Pseudo-relativistic fermionic systems with attractive Yukawa potential

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

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