Bounds for Schrödinger operators on the half-line perturbed by dissipative barriers

Stepanenko, Alexei 2021. Bounds for Schrödinger operators on the half-line perturbed by dissipative barriers. Integral Equations and Operator Theory 93 , 60. 10.1007/s00020-021-02675-z

PDF - Published Version Available under License Creative Commons Attribution. Download (643kB)

Abstract

We consider Schrödinger operators of the form HR=−{d}2/{d}x2+q+iγχ[0,R] for large R>0 , where q∈L1(0,∞) and γ>0 . Bounds for the maximum magnitude of an eigenvalue and for the number of eigenvalues are proved. These bounds complement existing general bounds applied to this system, for sufficiently large R.

Item Type:	Article
Date Type:	Publication
Status:	Published
Schools:	Mathematics
Publisher:	Springer
ISSN:	0378-620X
Funders:	EPSRC
Date of First Compliant Deposit:	21 March 2023
Date of Acceptance:	5 October 2021
Last Modified:	03 May 2023 18:59
URI:	https://orca.cardiff.ac.uk/id/eprint/157856

Actions (repository staff only)

Edit Item