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Trace formulae for Schrödinger operators with complex-valued potentials on cubic lattices. / Korotyaev, Evgeny; Laptev, Ari.

In: Bulletin of Mathematical Sciences, Vol. 8, No. 3, 01.12.2018, p. 453-475.

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

Harvard

Korotyaev, E & Laptev, A 2018, 'Trace formulae for Schrödinger operators with complex-valued potentials on cubic lattices', Bulletin of Mathematical Sciences, vol. 8, no. 3, pp. 453-475. https://doi.org/10.1007/s13373-018-0117-1

APA

Korotyaev, E., & Laptev, A. (2018). Trace formulae for Schrödinger operators with complex-valued potentials on cubic lattices. Bulletin of Mathematical Sciences, 8(3), 453-475. https://doi.org/10.1007/s13373-018-0117-1

Vancouver

Korotyaev E, Laptev A. Trace formulae for Schrödinger operators with complex-valued potentials on cubic lattices. Bulletin of Mathematical Sciences. 2018 Dec 1;8(3):453-475. https://doi.org/10.1007/s13373-018-0117-1

Author

Korotyaev, Evgeny ; Laptev, Ari. / Trace formulae for Schrödinger operators with complex-valued potentials on cubic lattices. In: Bulletin of Mathematical Sciences. 2018 ; Vol. 8, No. 3. pp. 453-475.

BibTeX

@article{bd523013f5be47fd83ca63cbcc87db23,
title = "Trace formulae for Schr{\"o}dinger operators with complex-valued potentials on cubic lattices",
abstract = "We consider a class of Schr{\"o}dinger operators with complex decaying potentials on the lattice. Using some classical results from complex analysis we obtain some trace formulae and use them to estimate zeros of the Fredholm determinant in terms of the potential.",
keywords = "Complex eigenvalues, Hardy spaces, Lattice, Scattering, Trace formula, DISCRETE SCHRODINGER, INEQUALITIES, EIGENVALUE BOUNDS",
author = "Evgeny Korotyaev and Ari Laptev",
year = "2018",
month = dec,
day = "1",
doi = "10.1007/s13373-018-0117-1",
language = "English",
volume = "8",
pages = "453--475",
journal = "Bulletin of Mathematical Sciences",
issn = "1664-3607",
publisher = "Springer Nature",
number = "3",

}

RIS

TY - JOUR

T1 - Trace formulae for Schrödinger operators with complex-valued potentials on cubic lattices

AU - Korotyaev, Evgeny

AU - Laptev, Ari

PY - 2018/12/1

Y1 - 2018/12/1

N2 - We consider a class of Schrödinger operators with complex decaying potentials on the lattice. Using some classical results from complex analysis we obtain some trace formulae and use them to estimate zeros of the Fredholm determinant in terms of the potential.

AB - We consider a class of Schrödinger operators with complex decaying potentials on the lattice. Using some classical results from complex analysis we obtain some trace formulae and use them to estimate zeros of the Fredholm determinant in terms of the potential.

KW - Complex eigenvalues

KW - Hardy spaces

KW - Lattice

KW - Scattering

KW - Trace formula

KW - DISCRETE SCHRODINGER

KW - INEQUALITIES

KW - EIGENVALUE BOUNDS

UR - http://www.scopus.com/inward/record.url?scp=85055889385&partnerID=8YFLogxK

UR - http://www.mendeley.com/research/trace-formulae-schr%C3%B6dinger-operators-complexvalued-potentials-cubic-lattices

U2 - 10.1007/s13373-018-0117-1

DO - 10.1007/s13373-018-0117-1

M3 - Article

AN - SCOPUS:85055889385

VL - 8

SP - 453

EP - 475

JO - Bulletin of Mathematical Sciences

JF - Bulletin of Mathematical Sciences

SN - 1664-3607

IS - 3

ER -

ID: 35630872