14 citations · 43 across the 10 of their papers we have counts for
5 papers · 1 filter
Commutator Estimates for Low-Temperature Fermi Gases
Jacky J. Chong, Laurent Lafleche, Jinyeop Lee +1
We investigate the semiclassical regularity of thermal equilibria in the presence of a harmonic potential at low temperature; that is, we obtain the asymptotic behavior of the Scha…
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…
Semiclassical Limit of the Bogoliubov-de Gennes Equation
Jacky J. Chong, Laurent Lafleche, Chiara Saffirio
In this paper, we rewrite the time-dependent Bogoliubov$\unicode{x2013}$de Gennes equation in an appropriate semiclassical form and establish its semiclassical limit to a two-parti…
On the semiclassical regularity of thermal equilibria
Jacky J. Chong, Laurent Lafleche, Chiara Saffirio
We study the regularity properties of fermionic equilibrium states at finite positive temperature and show that they satisfy certain semiclassical bounds. As a corollary, we identi…
Dynamics of Large Boson Systems with Attractive Interaction and a Derivation of the Cubic Focusing NLS in
Jacky Jia Wei Chong
We consider a system of bosons where the particles experience a short range two-body interaction given by where ,…