Spectral Theory in Mathematical Physics

460 works

A nonlocal boundary-value problem with conormal derivative for a mixed-type equation with two inner degeneration lines and various orders of degeneracy
M. S. Salakhitdinov, B. I. Islomov
ArticleDifferential Equations and Boundary ProblemsRussian Mathematics201110 citations
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Spectral properties of a two-particle Hamiltonian on a lattice
M. I. Muminov, A. M. Khurramov
ArticleSpectral Theory in Mathematical PhysicsTheoretical and Mathematical Physics201310 citations
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The essential and discrete spectrum of a model operator associated to a system of three identical quantum particles
Sergio Albeverio, S. N. Lakaev, Ramiza Kh. Djumanova
ArticleSpectral Theory in Mathematical PhysicsReports on Mathematical Physics200910 citations
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Analysis of the spectrum of a 2x2 operator matrix. Discrete spectrum asymptotics
Tulkin H. Rasulov, Elyor B. Dilmurodov
ArticleMatrix Theory and AlgorithmsNanosystems Physics Chemistry Mathematics202010 citations
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On Spectrum of the Discrete Bilaplacian with Zero-Range Perturbation
Shokhrukh Yu. Kholmatov, Mardon Pardabaev
ArticleSpectral Theory in Mathematical PhysicsLobachevskii Journal of Mathematics202110 citations
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Invariant Subspaces of the Shrödinger Operator with a Finite Support Potential
J. I. Abdullaev, A. M. Toshturdiev
ArticleSpectral Theory in Mathematical PhysicsLobachevskii Journal of Mathematics202210 citations
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On the Inverse Problem for a Quadratic Pencil of Sturm-Liouville Operators with Periodic Potential
B. A. Babadzhanov, А. Б. Хасанов, A. B. Yakhshimuratov
ArticleSpectral Theory in Mathematical PhysicsDifferential Equations200510 citations
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The infiniteness of the number of eigenvalues in the gap in the essential spectrum for the three-particle Schrödinger operator on a lattice
M. I. Muminov
ArticleSpectral Theory in Mathematical PhysicsTheoretical and Mathematical Physics200910 citations
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On the structure of the essential spectrum of a model many-body Hamiltonian
Tulkin H. Rasulov
ArticleCold Atom Physics and Bose-Einstein CondensatesMathematical Notes200810 citations
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Perturbation Theory for the Two-Particle Schrodinger Operator on a One-Dimensional Lattice
J. I. Abdullaev
ArticleSpectral Theory in Mathematical PhysicsTheoretical and Mathematical Physics200510 citations
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The Number of Eigenvalues of the Three-Particle Schrödinger Operator on Three Dimensional Lattice
A. M. Khalkhuzhaev, J. I. Abdullaev, J. Kh. Boymurodov
ArticleSpectral Theory in Mathematical PhysicsLobachevskii Journal of Mathematics20229 citations
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The Efimov Effect and an Extended Szegö–Kac Limit Theorem
Sergio Albeverio, Saidachmat N. Lakaev, Konstantin A. Makarov
ArticleSpectral Theory in Mathematical PhysicsLetters in Mathematical Physics19989 citations
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Finiteness of the number of eigenvalues of the two-particle Schrödinger operator on a lattice
J. I. Abdullaev, Isroil A. Ikromov
ArticleSpectral Theory in Mathematical PhysicsTheoretical and Mathematical Physics20079 citations
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Commutator estimates in <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:msup><mml:mi>W</mml:mi><mml:mo>⁎</mml:mo></mml:msup></mml:math>-algebras
A. F. Ber, Fedor Sukochev
ArticleAdvanced Operator Algebra ResearchJournal of Functional Analysis20119 citations
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On The Discrete Spectra of Schrödinger-Type Operators on one Dimensional Lattices
S. N. Lakaev, A. T. Boltaev, Firdavsjon M. Almuratov
ArticleSpectral Theory in Mathematical PhysicsLobachevskii Journal of Mathematics20229 citations
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Essential and discrete spectra of the three-particle Schrödinger operator on a lattice
Yu. Kh. Èshkabilov, R.R. Kucharov
ArticleSpectral Theory in Mathematical PhysicsTheoretical and Mathematical Physics20128 citations
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Dirac particles in transparent quantum graphs: Tunable transport of relativistic quasiparticles in branched structures
Jambul Yusupov, K.K. Sabirov, Q. U. Asadov +2
ArticleTopological Materials and PhenomenaPhysical review. E20208 citations
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Spectrum of a Model Operator in the Perturbation Theory of the Essential Spectrum
G R Yodgorov, M. I. Muminov
ArticleCold Atom Physics and Bose-Einstein CondensatesTheoretical and Mathematical Physics20058 citations
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Bound states of a two-boson system on a two-dimensional lattice
Zh. I. Abdullaev, Komil Kuliev
ArticleSpectral Theory in Mathematical PhysicsTheoretical and Mathematical Physics20168 citations
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Discrete eigenvalues of a 2 × 2 operator matrix
Elyor B. Dilmurodov
ArticleSpectral Theory in Mathematical PhysicsAIP conference proceedings20238 citations
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Spectral properties of a Hamiltonian of a four-particle system on a lattice
M. I. Muminov, U. R. Shodiev
ArticleSpectral Theory in Mathematical PhysicsRussian Mathematics20107 citations
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Study of the essential spectrum of a matrix operator
Tulkin H. Rasulov
ArticleSpectral Theory in Mathematical PhysicsTheoretical and Mathematical Physics20107 citations
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On infinity of the discrete spectrum of operators in the Friedrichs model
Yu. Kh. Èshkabilov
ArticleSpectral Theory in Mathematical PhysicsSiberian Advances in Mathematics20127 citations
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Monotonicity of the eigenvalues of the two-particle Schrödinger operatoron a lattice
J. I. Abdullaev, A. M. Khalkhuzhaev, L.S. Usmonov
ArticleSpectral Theory in Mathematical PhysicsNanosystems Physics Chemistry Mathematics20217 citations
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Integration of the Modified Korteweg–de Vries–Liouville Equation in the Class of Periodic Infinite-Gap Functions
А. Б. Хасанов, U. O. Khudayorov
ArticleSpectral Theory in Mathematical PhysicsMathematical Notes20237 citations
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