A sharp bound for an eigenvalue moment of the one-dimensional Schroedinger operator

Dirk Hundertmark; Elliott H. Lieb; Lawrence E. Thomas

A sharp bound for an eigenvalue moment of the one-dimensional Schroedinger operator

Mathematical Physics 2008-11-26 v2 math.MP

Authors: Dirk Hundertmark , Elliott H. Lieb , Lawrence E. Thomas

Abstract

We give a proof of the Lieb-Thirring inequality in the critical case $d=1$ , $\gamma= 1/2$ , which yields the best possible constant.

Keywords

schrödinger operators

Cite

@article{arxiv.math-ph/9806012,
  title  = {A sharp bound for an eigenvalue moment of the one-dimensional Schroedinger operator},
  author = {Dirk Hundertmark and Elliott H. Lieb and Lawrence E. Thomas},
  journal= {arXiv preprint arXiv:math-ph/9806012},
  year   = {2008}
}