Zobrazeno 1 - 5
of 5
pro vyhledávání: '"Chong, Jacky Jia Wei"'
We prove that certain Sobolev-type norms, slightly stronger than those given by energy conservation, stay bounded uniformly in time and $N$. This allows one to extend the local existence results of the second and third author globally in time. The pr
Externí odkaz:
http://arxiv.org/abs/2008.01753
Autor:
Chong, Jacky Jia Wei, Zhao, Zehua
We consider a many-body Boson system with pairwise particle interaction given by $N^{3\beta-1}v(N^\beta x)$ for $0<\beta<1$ and $v$ a non-negative spherically-symmetric function. Our main result is the extension of the local-in-time Fock space (norm)
Externí odkaz:
http://arxiv.org/abs/1711.00610
Autor:
Chong, Jacky Jia Wei
We consider a system of $N$ bosons where the particles experience a short range two-body interaction given by $N^{-1}v_N(x)=N^{3\beta-1}v(N^\beta x)$ where $v \in C^\infty_c(\mathbb{R}^3)$, without a definite sign on $v$. We extend the results of M.
Externí odkaz:
http://arxiv.org/abs/1608.01615
Autor:
Chong, Jacky Jia Wei1 jwchong@math.umd.edu
Publikováno v:
Letters in Mathematical Physics. Oct2018, Vol. 108 Issue 10, p2255-2283. 29p.
Autor:
Chong, Jacky Jia Wei
The thesis provides rigorous quantitative analyses for studying quantum fluctuations of a non-relativistic Bose gas about a Bose-Einstein condensate. In recent years, the dynamics of the condensate and the excitations of a Bose gas was shown to be we
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::e62bd3ae4b012b35d8041217ac5144a6