部分迹的Jensen不等式及其在部分半经典极限上的应用

IF 1.3 3区物理与天体物理 Q3 PHYSICS, MATHEMATICAL

Letters in Mathematical Physics Pub Date : 2025-05-16 DOI:10.1007/s11005-025-01938-9

Eric A. Carlen, Rupert L. Frank, Simon Larson

引用次数: 0

摘要

证明了二部空间上厄米矩阵凸函数的一个矩阵不等式。作为应用，我们对具有齐次势的Schrödinger算子的特征值渐近性的一些定理进行了修正和推广。主要感兴趣的情况是Weyl表达式是无限的，并且出现部分半经典极限。

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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A Jensen inequality for partial traces and applications to partially semiclassical limits

We prove a matrix inequality for convex functions of a Hermitian matrix on a bipartite space. As an application, we reprove and extend some theorems about eigenvalue asymptotics of Schrödinger operators with homogeneous potentials. The case of main interest is where the Weyl expression is infinite and a partially semiclassical limit occurs.

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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.