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Issue Title
 
Vol 14, No 2 (2023) Existence of the eigenvalues of a tensor sum of the Friedrichs models with rank 2 per turbation Abstract  PDF (Eng)  similar documents
T. H. Rasulov, B. I. Bahronov
"... In the paper we consider a tensor sum Hμ,λ,μ,λ  > 0 of two Friedrichs models hμ,λ with rank two ..."
 
Vol 3, No 6 (2012) On infinite number of negative eigenvalues of the Friedrichs model Abstract  similar documents
Yu. Kh. Eshkabilov
"... Изучен дискретный спектр самосопряженных операторов в модели Фридрихса с положительным ..."
 
Vol 16, No 5 (2025) Asymptotic expansion of Fredholm determinant associated to a family of Friedrichs models arising in quantum mechanics Abstract  PDF (Eng)  similar documents
T. Rasulov, G. Umirkulova
"... In this paper, we consider a family of Friedrichs models that arise in quantum mechanics ..."
 
Vol 5, No 5 (2014) On the number of eigenvalues of the family of operator matrices Abstract  PDF (Eng)  similar documents
M. I. Muminov, T. H. Rasulov
"... to establish the existence of infinitely many eigenvalues of H(K) for all K ∈ Λ when the associated Friedrichs ..."
 
Vol 10, No 6 (2019) Threshold analysis for a family of 2 × 2 operator matrices Abstract  PDF (Eng)  similar documents
T. H. Rasulov, E. B. Dilmurodov
"... )) ( or z = 27/2 = max/k∈T3 σess(Aµ(k)) is a threshold eigenvalue or a virtual level of Aµ(k(i)) for some k ..."
 
Vol 9, No 2 (2018) Approximation of eigenvalues of Schrodinger operators¨ Abstract  PDF (Eng)  similar documents
J. F. Brasche, R. Fulsche
"... . An algorithm for the numerical computation of eigenvalues of generalized Schrodinger operators in¨ L2(R ..."
 
Vol 8, No 2 (2017) Quasi-semidefinite eigenvalue problem and applications Abstract  PDF (Eng)  similar documents
L. Grubisic, J. Tambaca
"... In this note, we study the eigenvalue problem for a class of block operator matrix pairs. Our ..."
 
Vol 6, No 1 (2015) On the Robin eigenvalues of the Laplacian in the exterior of a convex polygon Abstract  PDF (Eng)  similar documents
K. Pankrashkin
"... at @ , where is the outer unit normal. We show that, for any fixed m 2 N, the mth eigenvalue E m ( ) of H ..."
 
Vol 9, No 2 (2018) N wells at a circle. Splitting of lower eigenvalues Abstract  PDF (Eng)  similar documents
T. F. Pankratova
 
Vol 12, No 6 (2021) Monotonicity of the eigenvalues of the two-particle Schrӧdinger operator on a lattice Abstract  PDF (Eng)  similar documents
J. I. Abdullaev, A. M. Khalkhuzhaev, L. S. Usmonov
"... on the three-dimensional lattice Z3. It is proved that the number N(k) ≡ N(k(1),k(2),k(3)) of eigenvalues below ..."
 
Vol 4, No 6 (2013) Weyl function for sum of operators tensor products Abstract  PDF (Eng)  similar documents
A. A. Boitsev, H. Neidhardt, I. Yu. Popov
 
Vol 6, No 1 (2015) Tunneling in multidimensional wells Abstract  PDF (Eng)  similar documents
T. F. Pankratova
"... A full asymptotic series for low eigenvalues and eigenfunctions of a stationary Schr¨odinger ..."
 
Vol 4, No 4 (2013): Special Issue. INTERNATIONAL CONFERENCE "MATHEMATICAL CHALLENGE OF QUANTUM TRANSPORT IN NANOSYSTEMS - 2013. PIERRE DUCLOS WORKSHOP" Negative eigenvalues of the Y-type chain of weakly coupled ball resonators Abstract  PDF (Eng)  similar documents
A. S. Anikevich
"... at most one negative eigenvalue in the case of δ-coupling in contact points. ..."
 
Vol 4, No 4 (2013): Special Issue. INTERNATIONAL CONFERENCE "MATHEMATICAL CHALLENGE OF QUANTUM TRANSPORT IN NANOSYSTEMS - 2013. PIERRE DUCLOS WORKSHOP" On the asymptotics of the principal eigenvalue for a Robin problem with a large parameter in planar domain Abstract  PDF (Eng)  similar documents
K. Pankrashkin
"... , and let ѵ denote the inward unit normal vector on Σ. We study the principal eigenvalue E(β ..."
 
Vol 3, No 4 (2012) Hamiltonian with zero-range potentials having infinite number of eigenvalues Abstract  similar documents
A. A. Boitsev, I. Yu. Popov, O. V. Sokolov
 
Vol 3, No 3 (2012) Variational estimations of the eigenvalues for 3D quantum waveguides in a transverse electric field Abstract  PDF (Eng)  similar documents
D. G. Matveev, I. Yu. Popov
"... It is shown that an eigenvalue of the Laplacian exists below the continuous spectrum for a system ..."
 
Vol 14, No 3 (2023) On eigenvalues and virtual levels of a two-particle Hamiltonian on a d-dimensional lattice Abstract  PDF (Eng)  similar documents
M. I. Muminov, A. M. Khurramov, I. N. Bozorov
"... . The existence conditions of eigenvalues and virtual levels of h_(k); are investigated in detail with respect ..."
 
Vol 16, No 6 (2025) On the existence of the maximum number of isolated eigenvalues for a lattice Schrödinger operator Abstract  PDF (Eng)  similar documents
S. N. Lakaev, D. A. Latipova, M. O. Akhmadova
"... eigenvalues that lie either below the bottom or above the top of its essential spectrum, over all K ∈ T2. ..."
 
Vol 11, No 2 (2020) Analysis of the spectrum of a 2×2 operator matrix. Discrete spectrum asymptotics Abstract  PDF (Eng)  similar documents
T. H. Rasulov, E. B. Dilmurodov
"... of generalized Friedrichs models. It is established that the essential spectrum of Aµ consists the union ..."
 
Vol 11, No 3 (2020) Approximate analytical method for finding eigenvalues of Sturm-Liouville problem with generalized boundary condition of the third kind Abstract  PDF (Eng)  similar documents
V. D. Lukyanov, D. A. Bulekbaev, A. V. Morozov, L. V. Nosova
"... combination are polynomials of the boundary problem eigenvalue. A method of approximate analytical calculation ..."
 
Vol 9, No 2 (2018) Level crossings of eigenvalues of the Schrodinger Hamiltonian of the isotropic harmonic¨ oscillator perturbed by a central point interaction in different dimensions Abstract  PDF (Eng)  similar documents
S. Fassari, M. Gadella, M. L. Glasser, L. M. Nieto, F. matfa62@gmail.com
"... In this brief presentation, some striking differences between level crossings of eigenvalues ..."
 
Vol 15, No 1 (2024) Graph spectral analysis of nonane isomers Abstract  PDF (Eng)  similar documents
B. I. Andrew, A. Anuradha
"... parameters of all isomers of nonane C9H20 have been computed and its relationship with its eigenvalue-based ..."
 
Vol 14, No 4 (2023) Irreducible characters of the icosahedral group Abstract  PDF (Eng)  similar documents
S. Kanemitsu, J. Mehta, Y. Sun
 
Vol 7, No 5 (2016) On direct and inverse spectral problems for sloshing of a two-layer fluid in an open container Abstract  PDF (Eng)  similar documents
N. G. Kuznetsov
"... We study the direct and inverse eigenvalue problems for a pair of harmonic functions ..."
 
Vol 10, No 2 (2019) Numerical solution for the Schrodinger equation with potential in graphene structures Abstract  PDF (Eng)  similar documents
L. A. Nhat
"... This paper presents a different numerical solution to compute eigenvalues of the Schrodinger ..."
 
Vol 14, No 5 (2023) On the spectrum of the two-particle Schrödinger operator with point potential: one dimensional case Abstract  PDF (Eng)  similar documents
U. N. Kuljanov
"... of unique negative eigenvalue of the Schr¨odinger operator is proved. Further, this eigenvalue ..."
 
Vol 14, No 5 (2023) On the discrete spectrum of the Schrödinger operator using the 2+1 fermionic trimer on the lattice Abstract  PDF (Eng)  similar documents
A. M. Khalkhuzhaev, I. A. Khujamiyorov
"... ), then the operator H; (0) has no eigenvalues. If  2 ( 1; 2), then the operator H; (0) has a unique eigenvalue ..."
 
Vol 13, No 3 (2022) Conditions for the existence of bound states of a two-particle Hamiltonian on a three-dimensional lattice Abstract  PDF (Eng)  similar documents
M. I. Muminov, A. M. Khurramov, I. N. Bozorov
"... interacting via some attractive potential is considered. Conditions for the existence of eigenvalues ..."
 
Vol 14, No 3 (2023) The first Schur complement for a lattice spin-boson model with at most two photons Abstract  PDF (Eng)  similar documents
T. Rasulov, E. Dilmurodov
"... properties of S1(_) related to the number of eigenvalues of A2 for all dimensions d of the torus Td ..."
 
Vol 10, No 5 (2019) Analytic description of the essential spectrum of a family of 3x3 operator matrices Abstract  PDF (Eng)  similar documents
T. H. Rasulov, N. A. Tosheva
 
Vol 16, No 5 (2025) Nonlinear optimal control problem in a two-point boundary regime for a pseudoparabolic equation with Samarskii–Ionkin type conditions Abstract  PDF (Eng)  similar documents
T. K. Yuldashev, B. J. Kadirkulov, A. T. Ramazanova, Zh. Zh. Shermamatov
"... and eigenvalues, eigenfunctions and optimality conditions are found. Loaded nonlinear functional equations ..."
 
Vol 14, No 5 (2023) Boundary value problem for a degenerate equation with a Riemann–Liouville operator Abstract  PDF (Eng)  similar documents
B. Yu. Irgashev
 
Vol 8, No 3 (2017) Finiteness of discrete spectrum of the two-particle Schrodinger operator on diamond lattices Abstract  PDF (Eng)  similar documents
M. I. Muminov
"... a sufficiency condition of finiteness for discrete spectrum eigenvalues of H. ..."
 
Vol 13, No 1 (2022) A model of sheared nanoribbons Abstract  PDF (Eng)  similar documents
Ph. Briet
"... eigenvalue. In a second part we discuss the existence of discrete spectrum. ..."
 
Vol 12, No 2 (2021) Non-compact perturbations of the spectrum of multipliers given with functions Abstract  PDF (Eng)  similar documents
R. R. Kucharov, R. R. Khamraeva
"... . Precise description of the essential spectrum and the existence of simple eigenvalue is received. We prove ..."
 
Vol 16, No 5 (2025) Spectral analysis of two-particle Hamiltonians with short-range interactions Abstract  PDF (Eng)  similar documents
M. O. Akhmadova, M. A. Azizova
"... . To elucidate the mechanisms of eigenvalue birth and annihilation for Hea λµ(0), we define a critical operator ..."
 
Vol 4, No 4 (2013): Special Issue. INTERNATIONAL CONFERENCE "MATHEMATICAL CHALLENGE OF QUANTUM TRANSPORT IN NANOSYSTEMS - 2013. PIERRE DUCLOS WORKSHOP" Efimov’s effect for partial integral operators of Fredholm type Abstract  PDF (Eng)  similar documents
Yu. Kh. Eshkabilov, R. R. Kucharov
"... We study the existence of an infinite number of eigenvalues (the existence of Efimov’s effect ..."
 
Vol 13, No 3 (2022) Ladder operators approach to representation classi cation problem for Jordan-Schwinger image of su(2) algebra Abstract  PDF (Eng)  similar documents
G. V. Tushavin, E. V. Zaitseva, A. I. Trifanov
"... The eigenvalues of the complete commuting set of self-adjoint operators determine the classi ..."
 
Vol 10, No 2 (2019) A model of an electron in a quantum graph interacting with a two-level system Abstract  PDF (Eng)  similar documents
A. A. Boitsev, I. Y. Popov
"... . The operator describing the model has the form of sum of tensor products. Self-adjoint extensions ..."
 
Vol 15, No 3 (2024) Energy and spectral radius of Zagreb matrix of graph with applications Abstract  PDF (Eng)  similar documents
Sh. S. Shetty, K. A. Bhat
"... vertex, if the corresponding vertices are adjacent in Γ, and zero otherwise. The Zagreb eigenvalues of Γ ..."
 
Vol 6, No 2 (2015) Universality of the discrete spectrum asymptotics of the three-particle Schrödinger operator on a lattice Abstract  PDF (Eng)  similar documents
M. I. Muminov, T. H. Rasulov
"... the operator H(K) has infinitely many negative eigenvalues accumulating at zero. It is found that for every K ..."
 
Vol 7, No 5 (2016) Spectral properties of a two–particle hamiltonian on a d-dimensional lattice Abstract  PDF (Eng)  similar documents
M. I. Muminov, A. M. Khurramov
"... attractive potential is considered. The number of eigenvalues of the family h(k) is studied depending ..."
 
Vol 6, No 2 (2015) An introduction to the spectral asymptotics of a damped wave equation on metric graphs Abstract  PDF (Eng)  similar documents
J. Lipovsk´y
"... equation. We define the notion of a high frequency abscissa, a sequence of eigenvalues with imaginary parts ..."
 
Vol 13, No 3 (2022) Spectral gaps for star-like quantum graph and for two coupled rings Abstract  PDF (Eng)  similar documents
I. V. Blinova, A. I. Popov, A. A. Bosova
"... the second and the rst eigenvalues of the free Schro¨ dinger operator, is studied. The dependence of the gap ..."
 
Vol 15, No 4 (2024) The point spectrum of the three-particle Schr ¨odinger operator for a system comprising two identical bosons and one fermion on Z. Abstract  PDF (Eng)  similar documents
Z. I. Muminov, V. U. Aktamova
"... which possesses infinitely many eigenvalues depending on repulsive or attractive interactions, under ..."
 
Vol 6, No 3 (2015) Statistical mechanics of transport processes of fluids under confined conditions Abstract  PDF (Eng)  similar documents
V. Rudyak, A. Belkin
"... show that the transport equations in confined spaces should contain not only the stress tensor ..."
 
Vol 6, No 6 (2015) Parameterization of an interaction operator of optical modes in a single-mode optical fiber Abstract  PDF (Eng)  similar documents
G. P. Miroshnichenko
"... profile, rotation angle per unit length, elasto-optical tensor, and refraction coefficient. ..."
 
Vol 13, No 2 (2022) On the discrete spectrum of a quantum waveguide with Neumann windows in presence of exterior field Abstract  PDF (Eng)  similar documents
A. S. Bagmutov, H. . Najar, I. F. Melikhov, I. Y. Popov
"... that such system has eigenvalues below the lower bound of the essential spectrum for any F ≥ 0. Then we closer ..."
 
Vol 2, No 2 (2011) Stability of 2D triangular lattice under finite biaxial strain Abstract  PDF (Eng)  similar documents
E. A. Podolskaya, A. yu. Panchenko, A. M. Krivtsov
"... diagonal strain tensor is regarded. The lattice is considered infinite and consisting of particles which ..."
 
Vol 2, No 2 (2011) Localization of bending vibrations in the single-wall carbon nanotubes Abstract  PDF (Eng)  similar documents
V. V. Smirnov, D. S. Shepelev, L. I. Manevitch
"... tendency to localization of oscillation is the common property of the systems, the eigenvalue spectra ..."
 
Vol 4, No 2 (2013) Multi particle states calculations and particles storage in perturbed nanolayers Abstract  PDF (Eng)  similar documents
S. I. Popov
"... of nanolayers can lead to the appearanceof eigenvalues of the corresponding one-particle Hamiltonian. To study ..."
 
Vol 4, No 4 (2013): Special Issue. INTERNATIONAL CONFERENCE "MATHEMATICAL CHALLENGE OF QUANTUM TRANSPORT IN NANOSYSTEMS - 2013. PIERRE DUCLOS WORKSHOP" Hartree-Fock approximation for the problem of particle storage in deformed nanolayer Abstract  PDF (Eng)  similar documents
I. F. Melikhov, I. Yu. Popov
"... means that the corresponding Hamiltonian will have eigenvalues. To treat a multi-particle problem ..."
 
Vol 12, No 4 (2021) On Sombor energy of graphs Abstract  PDF (Eng)  similar documents
K. J. Gowtham, Narahari Narasimha Swamy
"... = 0.976. Further, we found some bounds and characterizations on the largest eigenvalue of S(G ..."
 
Vol 9, No 2 (2018) Cyclic-periodic ZRP structures. Scattering problem for generalized Bloch functions and conductivity Abstract  PDF (Eng)  similar documents
S. Leble
"... Hamiltonian with a system of a nanostructure ZRPs is found from the matrix eigenvalue problem. The scattering ..."
 
Vol 15, No 5 (2024) Eccentricity Laplacian energy of a graph Abstract  PDF (Eng)  similar documents
A. Harshitha, S. Nayak, S. D’Souza
"... are the eigenvalues of the eccentricity Laplacian matrix, then the eccentricity Laplacian energy of G is ELE(G) = Xn i ..."
 
Vol 2, No 4 (2011) Effect of electric field on the structure of the ferroelectric chevron smectics C* Abstract  similar documents
V. P. Romanov, S. V. Ulyanov, K. G. Chernyak
"... the principal values of the permittivity tensor. It was shown that in some cases the increase of the external ..."
 
Vol 6, No 1 (2015) A linearized model of quantum transport in the asymptotic regime of quantum wells Abstract  PDF (Eng)  similar documents
A. Mantile
"... to identify the resonances with the eigenvalues of a deformed operator. Then, the adiabatic evolution problem ..."
 
Vol 8, No 1 (2017) Equilibrium properties of 3-arm star-shaped polyions: an entropic sampling Monte Carlo study Abstract  PDF (Eng)  similar documents
I. A. Silanteva, A. A. Yurchenko, P. N. Vorontsov-Velyaminov, A. P. Lyubartsev
"... of the tensor of inertia and parameters characterizing the shape of the polyion. In this work, we focus on how ..."
 
Vol 16, No 3 (2025) Magnetic structure of domain walls in stressed cylindrical wires Abstract  PDF (Eng)  similar documents
K. A. Chichay, I. S. Lobanov, V. M. Uzdin
"... %. These results demonstrate that incorporating the full stress tensor is essential for accurate prediction of both ..."
 
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