A note on eigenvalue bounds for Schrödinger operators

Yoonjung Lee; Ihyeok Seo

doi:10.1016/j.jmaa.2018.10.006

A note on eigenvalue bounds for Schrödinger operators

Yoonjung Lee
, Ihyeok Seo

Department of Mathematics

Sungkyunkwan University

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

15 Scopus citations

Abstract

We obtain a new bound on the location of eigenvalues for a non-self-adjoint Schrödinger operator with complex-valued potentials by obtaining a weighted L² estimate for the resolvent of the Laplacian.

Original language	English
Pages (from-to)	340-347
Number of pages	8
Journal	Journal of Mathematical Analysis and Applications
Volume	470
Issue number	1
DOIs	https://doi.org/10.1016/j.jmaa.2018.10.006
State	Published - 1 Feb 2019

Keywords

Eigenvalue bounds
Schrödinger operator

Access to Document

10.1016/j.jmaa.2018.10.006

Cite this

@article{0b167f156f0c4303847f87e912a7e6cd,

title = "A note on eigenvalue bounds for Schr{\"o}dinger operators",

abstract = "We obtain a new bound on the location of eigenvalues for a non-self-adjoint Schr{\"o}dinger operator with complex-valued potentials by obtaining a weighted L2 estimate for the resolvent of the Laplacian.",

keywords = "Eigenvalue bounds, Schr{\"o}dinger operator",

author = "Yoonjung Lee and Ihyeok Seo",

note = "Publisher Copyright: {\textcopyright} 2018 Elsevier Inc.",

year = "2019",

month = feb,

day = "1",

doi = "10.1016/j.jmaa.2018.10.006",

language = "English",

volume = "470",

pages = "340--347",

journal = "Journal of Mathematical Analysis and Applications",

issn = "0022-247X",

publisher = "Academic Press Inc.",

number = "1",

}

TY - JOUR

T1 - A note on eigenvalue bounds for Schrödinger operators

AU - Lee, Yoonjung

AU - Seo, Ihyeok

PY - 2019/2/1

Y1 - 2019/2/1

N2 - We obtain a new bound on the location of eigenvalues for a non-self-adjoint Schrödinger operator with complex-valued potentials by obtaining a weighted L2 estimate for the resolvent of the Laplacian.

AB - We obtain a new bound on the location of eigenvalues for a non-self-adjoint Schrödinger operator with complex-valued potentials by obtaining a weighted L2 estimate for the resolvent of the Laplacian.

KW - Eigenvalue bounds

KW - Schrödinger operator

UR - https://www.scopus.com/pages/publications/85054468038

U2 - 10.1016/j.jmaa.2018.10.006

DO - 10.1016/j.jmaa.2018.10.006

M3 - Article

AN - SCOPUS:85054468038

SN - 0022-247X

VL - 470

SP - 340

EP - 347

JO - Journal of Mathematical Analysis and Applications

JF - Journal of Mathematical Analysis and Applications

IS - 1

ER -

A note on eigenvalue bounds for Schrödinger operators

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this