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

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

doi:10.4310/ATMP.1998.v2.n4.a2

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

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

Mathematics

Research output: Contribution to journal › Article › peer-review

63 Scopus citations

Abstract

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

Original language	English (US)
Pages (from-to)	719-731
Number of pages	13
Journal	Advances in Theoretical and Mathematical Physics
Volume	2
Issue number	4
DOIs	https://doi.org/10.4310/ATMP.1998.v2.n4.a2
State	Published - Jul 1998

All Science Journal Classification (ASJC) codes

General Mathematics
General Physics and Astronomy

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10.4310/ATMP.1998.v2.n4.a2

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title = "A sharp bound for an eigenvalue moment of the one-dimensional schr{\"o}dinger operator",

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

author = "Dirk Hundertmark and Lieb, \{Elliott H.\} and Thomas, \{Lawrence E.\}",

year = "1998",

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N2 - We give a proof of the Lieb-Thirring inequality in the critical case d = 1, γ = 1/2, which yields the best possible constant.

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

Abstract

All Science Journal Classification (ASJC) codes

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