Works cited by this work

22 works

Work: Пороговые явления в спектре двухчастичного оператора Шредингера на решетке

Schrödinger Operators on Lattices.The Efimov Effect and Discrete Spectrum Asymptotics
Sergio Albeverio, S. N. Lakaev, Zahriddin Muminov
ArticleSpectral Theory in Mathematical PhysicsAnnales Henri Poincaré200482 citations
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The Threshold Effects for the Two-Particle Hamiltonians on Lattices
Sergio Albeverio, S. N. Lakaev, Konstantin A. Makarov +1
ArticleSpectral Theory in Mathematical PhysicsCommunications in Mathematical Physics200576 citations
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The Efimov effect. Discrete spectrum asymptotics
A. V. Sobolev
Article199374 citations
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On Efimov's effect in a system of three identical quantum particles
S. N. Lakaev
Article199366 citations
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ON THE THEORY OF THE DISCRETE SPECTRUM OF THE THREE-PARTICLE SCHRÖDINGER OPERATOR
D R Jafaev
Article197459 citations
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Hamiltonians in solid-state physics as multiparticle discrete Schrödinger operators: Problems and results
A. Mogilner
Other199157 citations
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Number of bound states of three-body systems and Efimov's effect
Yu. N. Ovchinnikov, Israel Michael Sigal
Article197949 citations
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The number of bound states of a one-particle Hamiltonian on a three-dimensional lattice
S. N. Lakaev, I. N. Bozorov
ArticleSpectral Theory in Mathematical PhysicsTheoretical and Mathematical Physics200932 citations
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The bound state of weakly coupled Schrödinger operators in one and two dimensions
Barry Simon
Article197630 citations
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On the bound state of Schrödinger operators in one dimension
Martin Klaus
Article197730 citations
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Coupling constant thresholds in nonrelativistic quantum mechanics. I. Short-range two-body case
Martin Klaus, Barry Simon
Article198027 citations
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Bounds on the discrete spectrum of lattice Schrödinger operators
V. Bach, W. de Siqueira Pedra, S. N. Lakaev
ArticleSpectral Theory in Mathematical PhysicsJournal of Mathematical Physics201824 citations
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Asymptotics for the Number of Negative Eigenvalues of Three-Body Schrödinger Operators with Efimov Effect
Hideo Tamura
Article201819 citations
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Finiteness of the discrete spectrum of the three-particle schrödinger equation on a lattice
Zh. I. Abdullaev, S. N. Lakaev
ArticleSpectral Theory in Mathematical PhysicsTheoretical and Mathematical Physics199716 citations
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The number of eigenvalues of three-particle Schrödinger operators on lattices
Sergio Albeverio, Gian Fausta Dell Antonio, S. N. Lakaev
ArticleSpectral Theory in Mathematical PhysicsJournal of Physics A Mathematical and Theoretical200715 citations
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Perturbation of a lattice spectral band by a nearby resonance
А. К. Мотовилов, W. Sandhas, V.B. Belyaev
Article200114 citations
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Positivity of eigenvalues of the two-particle Schrödinger operator on a lattice
S. N. Lakaev, Sh. U. Alladustov
ArticleSpectral Theory in Mathematical PhysicsTheoretical and Mathematical Physics20144 citations
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Existence and analyticity of eigenvalues of a two-channel molecular resonance model
S. N. Lakaev, Sh. M. Latipov
ArticleSpectral Theory in Mathematical PhysicsTheoretical and Mathematical Physics20114 citations
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Число связанных состояний одночастичного гамильтониана на трехмерной решетке
S. N. Lakaev, I. N. Bozorov
Article20093 citations
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Конечность дискретного спектра трехчастичного оператора Шредингера на решетке
Жаникул Ибрагимович Абдуллаев, Жаникул Ибрагимович Абдуллаев, S. N. Lakaev
Article19972 citations
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Положительность собственных значений двухчастичного оператора Шредингера на решетке
S. N. Lakaev, Shukhrat Alladustov, Shukhrat Alladustov
Article20142 citations
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О существовании и аналитичности собственных значений двухканальной молекулярно-резонансной модели
S. N. Lakaev, Шердор Мирзоевич Латипов, Шердор Мирзоевич Латипов
Article20112 citations
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