Lieb-thirring inequalities for Schrödinger operators with complex-valued potentials

Rupert L. Frank; Ari Laptev; Elliott H. Lieb; Robert Seiringer

doi:10.1007/s11005-006-0095-1

Lieb-thirring inequalities for Schrödinger operators with complex-valued potentials

Rupert L. Frank
, Ari Laptev
, Elliott H. Lieb
, Robert Seiringer

Mathematics

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

80 Scopus citations

Abstract

Inequalities are derived for power sums of the real part and the modulus of the eigenvalues of a Schrödinger operator with a complex-valued potential.

Original language	English (US)
Pages (from-to)	309-316
Number of pages	8
Journal	Letters in Mathematical Physics
Volume	77
Issue number	3
DOIs	https://doi.org/10.1007/s11005-006-0095-1
State	Published - Sep 2006

All Science Journal Classification (ASJC) codes

Statistical and Nonlinear Physics
Mathematical Physics

Keywords

Complex potential
Lieb-Thirring inequalities
Schrödinger operator

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10.1007/s11005-006-0095-1

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@article{17f5e35c3a424aaf97ded6fc648bdc56,

title = "Lieb-thirring inequalities for Schr{\"o}dinger operators with complex-valued potentials",

abstract = "Inequalities are derived for power sums of the real part and the modulus of the eigenvalues of a Schr{\"o}dinger operator with a complex-valued potential.",

keywords = "Complex potential, Lieb-Thirring inequalities, Schr{\"o}dinger operator",

author = "Frank, \{Rupert L.\} and Ari Laptev and Lieb, \{Elliott H.\} and Robert Seiringer",

note = "Funding Information: The work of Rupert L. Frank and Ari Laptev was supported by the Swedish Foundation for International Cooperation in Research and Higher Education (STINT). The work of Elliott H. Lieb was supported by U.S. National Science Foundation grant PHY 01 39984. The work of Robert Seiringer was supported by U.S. National Science Foundation grant PHY 03 53181, and by an A.P. Sloan Fellowship.",

year = "2006",

month = sep,

doi = "10.1007/s11005-006-0095-1",

language = "English (US)",

volume = "77",

pages = "309--316",

journal = "Letters in Mathematical Physics",

issn = "0377-9017",

publisher = "Springer Netherlands",

number = "3",

}

TY - JOUR

T1 - Lieb-thirring inequalities for Schrödinger operators with complex-valued potentials

AU - Frank, Rupert L.

AU - Laptev, Ari

AU - Lieb, Elliott H.

AU - Seiringer, Robert

N1 - Funding Information: The work of Rupert L. Frank and Ari Laptev was supported by the Swedish Foundation for International Cooperation in Research and Higher Education (STINT). The work of Elliott H. Lieb was supported by U.S. National Science Foundation grant PHY 01 39984. The work of Robert Seiringer was supported by U.S. National Science Foundation grant PHY 03 53181, and by an A.P. Sloan Fellowship.

PY - 2006/9

Y1 - 2006/9

N2 - Inequalities are derived for power sums of the real part and the modulus of the eigenvalues of a Schrödinger operator with a complex-valued potential.

AB - Inequalities are derived for power sums of the real part and the modulus of the eigenvalues of a Schrödinger operator with a complex-valued potential.

KW - Complex potential

KW - Lieb-Thirring inequalities

KW - Schrödinger operator

UR - https://www.scopus.com/pages/publications/33748086051

UR - https://www.scopus.com/pages/publications/33748086051#tab=citedBy

U2 - 10.1007/s11005-006-0095-1

DO - 10.1007/s11005-006-0095-1

M3 - Article

AN - SCOPUS:33748086051

SN - 0377-9017

VL - 77

SP - 309

EP - 316

JO - Letters in Mathematical Physics

JF - Letters in Mathematical Physics

IS - 3

ER -

Lieb-thirring inequalities for Schrödinger operators with complex-valued potentials

Abstract

All Science Journal Classification (ASJC) codes

Keywords

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