论文标题

lieb的状态 - 刺想

The state of the Lieb--Thirring conjecture

论文作者

Schimmer, Lukas

论文摘要

1976年,Lieb和Thirring在半经典相位空间积分方面建立了schrödinger操作员负特征值的幂的上限。在过去的45年中,这些不平等的最佳常数(其价值是由Lieb和Thirring猜想)一直受到严格研究的主题。我们旨在审查现有结果。

In 1976 Lieb and Thirring established upper bounds on sums of powers of the negative eigenvalues of a Schrödinger operator in terms of semiclassical phase-space integrals. Over the last 45 years the optimal constants in these inequalities, the values of which were conjectured by Lieb and Thirring, have been subject of intense investigations. We aim to review existing results.

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