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

arxiv: math-ph/9806012 · v2 · submitted 1998-06-18 · 🧮 math-ph · math.MP

Dirk Hundertmark , Elliott H. Lieb , Lawrence E. Thomas This is my paper

classification 🧮 math-ph math.MP

keywords bestboundcaseconstantcriticaleigenvaluegammagive

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

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