Scholarlink

<p>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.</p>

错误：搜索内容不能为空，请输入英文关键词
错误：关键词超出字数限制，请精简
高级检索

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

  • 期刊论文

  • 出版模式：

    开放获取

  • 发表日期：

    2025年5月16日

查看全文
  • Eric A. Carlen,
  • Rupert L. Frank,
  • Simon Larson

摘要

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.