Eigenvalues of Schrödinger operators on finite and infinite intervals

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Eigenvalues of Schrödinger operators on finite and infinite intervals. / Korotyaev, Evgeny L.

In: Mathematische Nachrichten, Vol. 294, No. 11, 11.2021, p. 2188-2199.

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

BibTeX

@article{0e4dfca91a7f4b37847ea7827aa6b172,

title = "Eigenvalues of Schr{\"o}dinger operators on finite and infinite intervals",

abstract = "We consider a Sturm–Liouville operator with an integrable potential q on the unit interval (Formula presented.). We consider a Schr{\"o}dinger operator with a real compactly supported potential on the half line and on the line, where this potential coincides with q on the unit interval and vanishes outside I. We determine the relationships between eigenvalues of such operators and obtain estimates of eigenvalues in terms of potentials.",

author = "Korotyaev, {Evgeny L.}",

note = "Publisher Copyright: {\textcopyright} 2021 Wiley-VCH GmbH",

year = "2021",

month = nov,

doi = "10.1002/mana.201900511",

language = "English",

volume = "294",

pages = "2188--2199",

journal = "Mathematische Nachrichten",

issn = "0025-584X",

publisher = "Wiley-Blackwell",

number = "11",

}

RIS

TY - JOUR

T1 - Eigenvalues of Schrödinger operators on finite and infinite intervals

AU - Korotyaev, Evgeny L.

PY - 2021/11

Y1 - 2021/11

N2 - We consider a Sturm–Liouville operator with an integrable potential q on the unit interval (Formula presented.). We consider a Schrödinger operator with a real compactly supported potential on the half line and on the line, where this potential coincides with q on the unit interval and vanishes outside I. We determine the relationships between eigenvalues of such operators and obtain estimates of eigenvalues in terms of potentials.

AB - We consider a Sturm–Liouville operator with an integrable potential q on the unit interval (Formula presented.). We consider a Schrödinger operator with a real compactly supported potential on the half line and on the line, where this potential coincides with q on the unit interval and vanishes outside I. We determine the relationships between eigenvalues of such operators and obtain estimates of eigenvalues in terms of potentials.

UR - http://www.scopus.com/inward/record.url?scp=85121359617&partnerID=8YFLogxK

U2 - 10.1002/mana.201900511

DO - 10.1002/mana.201900511

M3 - Article

AN - SCOPUS:85121359617

VL - 294

SP - 2188

EP - 2199

JO - Mathematische Nachrichten

JF - Mathematische Nachrichten

SN - 0025-584X

IS - 11

ER -

ID: 91318545