Spectral Inequalities for Jacobi Operators and Related Sharp Lieb-Thirring Inequalities on the Continuum

Publikation: Bidrag til tidsskriftTidsskriftartikelForskningfagfællebedømt

In this paper we approximate a Schrödinger operator on by Jacobi operators on to provide new proofs of sharp Lieb-Thirring inequalities for the powers and . To this end we first investigate spectral inequalities for Jacobi operators. Using the commutation method, we present a new, direct proof of a sharp inequality corresponding to a Lieb-Thirring inequality for the power on . We also introduce inequalities for higher powers of the eigenvalues as well as for matrix-valued potentials and compare our results to previously established bounds.
OriginalsprogEngelsk
TidsskriftCommunications in Mathematical Physics
Vol/bind334
Udgave nummer1
Sider (fra-til)473-505
ISSN0010-3616
DOI
StatusUdgivet - 1 feb. 2015
Eksternt udgivetJa

ID: 203867451