Norm convergence of confined fermionic systems at zero temperature

IF 1.3 3区 物理与天体物理 Q3 PHYSICS, MATHEMATICAL
Esteban Cárdenas
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引用次数: 0

Abstract

The semi-classical limit of ground states of large systems of fermions was studied by Fournais et al. (Calc Var Partial Differ Equ 57:105, 2018). In particular, the authors prove weak convergence toward classical states associated with the minimizers of the Thomas–Fermi functional. In this paper, we revisit this limit and show that under additional assumptions—and, using simple arguments—it is possible to prove that strong convergence holds in relevant normed spaces.

零温下约束费米子系统的规范收敛性
Fournais 等人研究了费米子大系统基态的半经典极限(Calc Var Partial Differ Equ 57:105, 2018)。作者特别证明了与托马斯-费米函数最小值相关的经典态的弱收敛性。在本文中,我们重新审视了这一极限,并证明在额外的假设条件下--通过简单的论证--有可能证明强收敛性在相关的规范空间中成立。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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来源期刊
Letters in Mathematical Physics
Letters in Mathematical Physics 物理-物理:数学物理
CiteScore
2.40
自引率
8.30%
发文量
111
审稿时长
3 months
期刊介绍: The aim of Letters in Mathematical Physics is to attract the community''s attention on important and original developments in the area of mathematical physics and contemporary theoretical physics. The journal publishes letters and longer research articles, occasionally also articles containing topical reviews. We are committed to both fast publication and careful refereeing. In addition, the journal offers important contributions to modern mathematics in fields which have a potential physical application, and important developments in theoretical physics which have potential mathematical impact.
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