34 citations · 99 across the 23 of their papers we have counts for
25 papers
Derivation of Gibbs measure from Gibbs state with the fractional Bessel interaction in Two Dimensions
Phan Thành Nam, Rongchan Zhu, Xiangchan Zhu
We derive the classical Gibbs measure on associated with the fractional Bessel interaction potential from a renormalized gra…
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…
Dispersive estimates and long-time validity for Bogoliubov dynamics of interacting Bose gases
Phan Thành Nam, Simone Rademacher, Avy Soffer
We consider the Bogoliubov approximation for the many-body quantum dynamics of weakly interacting Bose gases and establish a uniform-in-time validity of the Bogoliubov theory. The…
Finite-Rank Optimizers for the mass--supercritical Lieb--Thirring and Hardy--Lieb--Thirring Inequalities
Giao Ky Duong, Thi Minh Thao Le, Phan Thành Nam +1
We establish the existence of finite-rank operators for an interpolation version of the Lieb--Thirring inequality in the mass--supercritical case, thereby extending a result of Hon…
Kinetic localization via Poincaré-type inequalities and applications to the condensation of Bose gases
Jacky J. Chong, Hao Liang, Phan Thành Nam
We propose a simplified localization method for Bose gases, based on a Poincare-type inequality, which leads to a new derivation of Bose--Einstein condensation for dilute Bose gase…
Mass-Critical Neutron Stars in the Hartree-Fock and Hartree-Fock-Bogoliubov Theories
Bin Chen, Yujin Guo, Phan Thành 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…