S. N. Lakaev, Sh. M. Tilavova, “Merging of eigenvalues and resonances of a two-particle Schrödinger operator”, TMF, 101:2 (1994), 235–252; Theoret. and Math. Phys., 101:2 (1994), 1320

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Teoreticheskaya i Matematicheskaya Fizika, 1994, Volume 101, Number 2, Pages 235–252 (Mi tmf1682)

This article is cited in 9 scientific papers (total in 9 papers)

Merging of eigenvalues and resonances of a two-particle Schrödinger operator

S. N. Lakaev, Sh. M. Tilavova

A. Navoi Samarkand State University

Full-text PDF (1399 kB) Citations (9)

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Abstract: The existence of bound states and resonances for the two-particle discrete Schrödinger operator is proved. Their conjunction and the dependence of the quasimomentum and the coupling constant are studied.

Received: 28.12.1992
Revised: 08.09.1993

English version:
Theoretical and Mathematical Physics, 1994, Volume 101, Issue 2, Pages 1320–1331
DOI: https://doi.org/10.1007/BF01018280

Bibliographic databases:

Language: Russian

Citation: S. N. Lakaev, Sh. M. Tilavova, “Merging of eigenvalues and resonances of a two-particle Schrödinger operator”, TMF, 101:2 (1994), 235–252; Theoret. and Math. Phys., 101:2 (1994), 1320–1331

Citation in format AMSBIB

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\by S.~N.~Lakaev, Sh.~M.~Tilavova

\paper Merging of eigenvalues and resonances of a~two-particle Schr\"odinger operator

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\yr 1994

\vol 101

\issue 2

\pages 235--252

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\zmath{https://zbmath.org/?q=an:0875.35089}

\transl

\jour Theoret. and Math. Phys.

\yr 1994

\vol 101

\issue 2

\pages 1320--1331

\crossref{https://doi.org/10.1007/BF01018280}

\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1994QY17400007}

Linking options:

https://www.mathnet.ru/eng/tmf1682

https://www.mathnet.ru/eng/tmf/v101/i2/p235

This publication is cited in the following 9 articles:

Hiroshima F. Muminov Z. Kuljanov U., “Threshold of Discrete Schrodinger Operators With Delta Potentials on N-Dimensional Lattice”, Linear Multilinear Algebra, 70:5 (2022), 919–954
Muminov Z. Alladustov Sh. Lakaev Sh., “Spectral and Threshold Analysis of a Small Rank Perturbation of the Discrete Laplacian”, J. Math. Anal. Appl., 496:2 (2021), 124827
Zahriddin Muminov, Shukhrat Lakaev, INTERNATIONAL UZBEKISTAN-MALAYSIA CONFERENCE ON “COMPUTATIONAL MODELS AND TECHNOLOGIES (CMT2020)”: CMT2020, 2365, INTERNATIONAL UZBEKISTAN-MALAYSIA CONFERENCE ON “COMPUTATIONAL MODELS AND TECHNOLOGIES (CMT2020)”: CMT2020, 2021, 050011
S. N. Lakaev, S. Kh. Abdukhakimov, “Threshold effects in a two-fermion system on an optical lattice”, Theoret. and Math. Phys., 203:2 (2020), 648–663
M. I. Muminov, A. M. Khurramov, “On compact distribution of two-particle Schrödinger operator on a lattice”, Russian Math. (Iz. VUZ), 59:6 (2015), 18–22
M. I. Muminov, A. M. Hurramov, “Spectral properties of a two-particle Hamiltonian on a lattice”, Theoret. and Math. Phys., 177:3 (2013), 1693–1705
S. N. Lakaev, Sh. Yu. Kholmatov, “Asymptotics of the eigenvalues of a discrete Schrödinger operator with zero-range potential”, Izv. Math., 76:5 (2012), 946–966
S. N. Lakaev, I. N. Bozorov, “The number of bound states of a one-particle Hamiltonian on a three-dimensional lattice”, Theoret. and Math. Phys., 158:3 (2009), 360–376
Zh. I. Abdullaev, S. N. Lakaev, “Finiteness of discrete spectrum of three particle Schrödinger operator on the lattice”, Theoret. and Math. Phys., 111:1 (1997), 467–479

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

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References:	80
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