Lieb-Thirring and Jensen sums for non-self-adjoint Schrödinger operators on the half-line

Golinskii, Leonid and Stepanenko, Alexei 2024. Lieb-Thirring and Jensen sums for non-self-adjoint Schrödinger operators on the half-line. Journal of Spectral Theory 13 (4) , pp. 1345-1391. 10.4171/jst/489

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Abstract

We prove upper and lower bounds for sums of eigenvalues of Lieb–Thirring type for non-self-adjoint Schrödinger operators on the half-line. The upper bounds are established for general classes of integrable potentials and are shown to be optimal in various senses by proving the lower bounds for specific potentials. We consider sums that correspond to both the critical and non-critical cases.

Item Type:	Article
Date Type:	Publication
Status:	Published
Schools:	Mathematics
Publisher:	European Mathematical Society
ISSN:	1664-039X
Date of First Compliant Deposit:	8 March 2024
Last Modified:	08 Mar 2024 11:35
URI:	https://orca.cardiff.ac.uk/id/eprint/166847

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