71 citations · 410 across the 46 of their papers we have counts for
59 papers
Dynamical classical-field limit of Bosonic Gibbs states: Renormalized Hartree NLS correlations in 2D and 3D
Phan Thành Nam, Rongchan Zhu, Xiangchan Zhu
In this paper we derive the time-dependent correlation functions of the renormalized Hartree NLS equation on the torus , , from the corresponding bosonic many-b…
Theory from many-body quantum Gibbs states
Phan Thành Nam, Zhilin Yang, Xiangchan Zhu
We derive the measure on the two-dimensional unit torus as the rigorous limit of many-body quantum Gibbs states. In particular, the quantum model corresponding t…
Derivation of the focusing measure in the optimal mass regime from many-body quantum Gibbs states
Lin Lü, Phan Thành Nam, Rongchan Zhu
We derive the focusing measure on the torus as the high-temperature/mean-field limit of many-body quantum Gibbs states with an attractive three-body interactio…
On the asymptotic behavior at the kinetic time of a weakly interacting Fermi gas
Peter S. Madsen, Phan Thành Nam, Herbert Spohn +1
This paper is devoted to the dynamics of a weakly interacting Fermi gas at the kinetic time regime where is the strength of the interaction potential. We pr…
Eigenvalue asymptotics of Müller minimizers for atoms and molecules
Rupert L. Frank, Long Meng, Phan Thành Nam +1
We study the spectral properties of minimizers of the Müller functional for atoms and molecules with electrons and total nuclear charge . We prove that under some suitable a…
The Huang-Yang conjecture for the low-density Fermi gas
Emanuela L. Giacomelli, Christian Hainzl, Phan Thành Nam +1
Our work establishes a three-term asymptotic expansion of the ground state energy of a dilute gas of spin fermions with repulsive short-range interactions, validating a formu…