On the partial semi-classical Weyl’s law

IF 1.6 3区物理与天体物理 Q3 PHYSICS, MATHEMATICAL

Letters in Mathematical Physics Pub Date : 2026-10-09 DOI:10.1007/s11005-026-02173-6

Younghun Hong, Sangdon Jin

引用次数: 0

Abstract

In this article, we establish the partial semi-classical Weyl’s laws for a bounded domain model and a harmonic trap model, describing the quantum subband structures for two-dimensional electron gases (2DEGs). As a simple application, we derive the lowest free energy states for the subband models describing non-interacting 2DEGs.

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关于部分半经典Weyl定律

本文建立了描述二维电子气体（2DEGs）量子子带结构的有界域模型和谐波陷阱模型的部分半经典Weyl定律。作为一个简单的应用，我们推导了描述非相互作用2deg的子带模型的最低自由能态。

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 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.