3 papers
math-ph2026
Pseudo-relativistic fermionic systems with attractive Yukawa potential
Bin Chen, Yujin Guo, Phan Thà 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-ph2026
Collective behaviors of an electron gas in the mean-field regime
Dong Hao Ou Yang
In this paper, we study the momentum distribution of an electron gas in a -dimensional torus. The goal is to compute the occupation number of Fourier modes for some trial state…
math.AP2025
Mass-Critical Neutron Stars in the Hartree-Fock and Hartree-Fock-Bogoliubov Theories
Bin Chen, Yujin Guo, Phan Thà nh Nam +1
We investigate the ground states of neutron stars and white dwarfs in the Hartree-Fock (HF) and Hartree-Fock-Bogoliubov (HFB) theories. It is known that the system is stable below…