Works cited by this work

48 works

Work: On the spectrum of Schrödinger-type operators on two dimensional lattices

Schrödinger Operators on Lattices.The Efimov Effect and Discrete Spectrum Asymptotics
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ArticleSpectral Theory in Mathematical PhysicsAnnales Henri Poincaré200482 citations
ABI
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
ABI
The Efimov effect. Discrete spectrum asymptotics
A. V. Sobolev
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ON THE THEORY OF THE DISCRETE SPECTRUM OF THE THREE-PARTICLE SCHRÖDINGER OPERATOR
D R Jafaev
Article197459 citations
ABI
Energy-momentum spectrum of some two-particle lattice Schrödinger Hamiltonians
Paulo A. Faria da Veiga, L. Ioriatti, Michael O’Carroll
Article200251 citations
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Repulsively bound atom pairs in an optical lattice
Klaus Winkler, Gregor Thalhammer, Florian Lang +6
Article200640 citations
ABI
The bound state of weakly coupled Schrödinger operators in one and two dimensions
Barry Simon
Article197630 citations
ABI
On the bound state of Schrödinger operators in one dimension
Martin Klaus
Article197730 citations
ABI
Coupling constant thresholds in nonrelativistic quantum mechanics. I. Short-range two-body case
Martin Klaus, Barry Simon
Article198027 citations
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Ultracold quantum gases in optical lattices
Immanuel Bloch
Article200527 citations
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Bose–Hubbard models with on-site and nearest-neighbor interactions: exactly solvable case
S. N. Lakaev, Shokhrukh Yu. Kholmatov, Shakhobiddin I Khamidov
Article202126 citations
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The cold atom Hubbard toolbox
D. Jaksch, P. Zoller
Article200425 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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Cold Bosonic Atoms in Optical Lattices
Dieter Jaksch, Christoph Bruder, J. I. Cirac +2
Article199822 citations
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Asymptotic behavior of an eigenvalue of the two-particle discrete Schrödinger operator
S. N. Lakaev, A. M. Khalkhuzhaev, Sh. S. Lakaev
ArticleSpectral Theory in Mathematical PhysicsTheoretical and Mathematical Physics201221 citations
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Untitled
Other20 citations
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Asymptotics of eigenvalues of two-particle Schrödinger operators on lattices with zero range interaction
S. N. Lakaev, Shohruh Yu Holmatov
ArticleSpectral Theory in Mathematical PhysicsJournal of Physics A Mathematical and Theoretical201120 citations
ABI
Bound states and resonances ofN-particle discrete Schrödinger operator
S. N. Lakaev
Article199218 citations
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Bound states of Schrödinger-type operators on one and two dimensional lattices
Shokhrukh Yu. Kholmatov, S. N. Lakaev, Firdavsjon M. Almuratov
ArticleSpectral Theory in Mathematical PhysicsJournal of Mathematical Analysis and Applications202115 citations
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Asymptotics of the eigenvalues of a discrete Schrödinger operator with zero-range potential
S. N. Lakaev, Shohruh Yu Holmatov
Article201211 citations
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Efimov Effect for a Three-Particle System with Two Identical Fermions
Giulia Basti, Alessandro Teta
Article20179 citations
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The low energy expansion in nonrelativistic scattering theory
Sergio Albeverio, Fritz Gesztesy, Raphaël Høegh-Krohn
Article19828 citations
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Three resonating fermions in flatland: proof of the super Efimov effect and the exact discrete spectrum asymptotics
D. K. Gridnev
Article20148 citations
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Formation of ultracold fermionic NaLi Feshbach molecules
Myoung-Sun Heo, Tout T. Wang, Caleb A. Christensen +5
Article20127 citations
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Notes on infinite determinants of hilbert space operators
Barry Simon
Article19777 citations
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