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On spectral properties of the discrete Schrödinger operator with pure imaginary finite potential. / Faddeev, M. M.

In: Mathematical Notes, Vol. 85, No. 3-4, 01.04.2009, p. 437-440.

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

Harvard

Faddeev, MM 2009, 'On spectral properties of the discrete Schrödinger operator with pure imaginary finite potential', Mathematical Notes, vol. 85, no. 3-4, pp. 437-440. https://doi.org/10.1134/S0001434609030146

APA

Faddeev, M. M. (2009). On spectral properties of the discrete Schrödinger operator with pure imaginary finite potential. Mathematical Notes, 85(3-4), 437-440. https://doi.org/10.1134/S0001434609030146

Vancouver

Faddeev MM. On spectral properties of the discrete Schrödinger operator with pure imaginary finite potential. Mathematical Notes. 2009 Apr 1;85(3-4):437-440. https://doi.org/10.1134/S0001434609030146

Author

Faddeev, M. M. / On spectral properties of the discrete Schrödinger operator with pure imaginary finite potential. In: Mathematical Notes. 2009 ; Vol. 85, No. 3-4. pp. 437-440.

BibTeX

@article{9e63c16b9a39427b941e9a22ae1474c5,
title = "On spectral properties of the discrete Schr{\"o}dinger operator with pure imaginary finite potential",
abstract = "In this paper, we consider the spectral properties of the discrete Schr{\"o}dinger operator in the space of square integrable two-sided sequences with a pure imaginary potential of finite rank with zero mean value. We show that if such potentials are small, then the spectrum of the operator under study coincides with the spectrum of the unperturbed operator, and the operator itself is similar to a self-adjoint operator.",
keywords = "Discrete Schr{\"o}dinger operator, PI-symmetric potential, Similarity to a self-adjoint operator, Spectral problem",
author = "Faddeev, {M. M.}",
year = "2009",
month = apr,
day = "1",
doi = "10.1134/S0001434609030146",
language = "English",
volume = "85",
pages = "437--440",
journal = "Mathematical Notes",
issn = "0001-4346",
publisher = "Pleiades Publishing",
number = "3-4",

}

RIS

TY - JOUR

T1 - On spectral properties of the discrete Schrödinger operator with pure imaginary finite potential

AU - Faddeev, M. M.

PY - 2009/4/1

Y1 - 2009/4/1

N2 - In this paper, we consider the spectral properties of the discrete Schrödinger operator in the space of square integrable two-sided sequences with a pure imaginary potential of finite rank with zero mean value. We show that if such potentials are small, then the spectrum of the operator under study coincides with the spectrum of the unperturbed operator, and the operator itself is similar to a self-adjoint operator.

AB - In this paper, we consider the spectral properties of the discrete Schrödinger operator in the space of square integrable two-sided sequences with a pure imaginary potential of finite rank with zero mean value. We show that if such potentials are small, then the spectrum of the operator under study coincides with the spectrum of the unperturbed operator, and the operator itself is similar to a self-adjoint operator.

KW - Discrete Schrödinger operator

KW - PI-symmetric potential

KW - Similarity to a self-adjoint operator

KW - Spectral problem

UR - http://www.scopus.com/inward/record.url?scp=70049088859&partnerID=8YFLogxK

U2 - 10.1134/S0001434609030146

DO - 10.1134/S0001434609030146

M3 - Article

AN - SCOPUS:70049088859

VL - 85

SP - 437

EP - 440

JO - Mathematical Notes

JF - Mathematical Notes

SN - 0001-4346

IS - 3-4

ER -

ID: 35401700