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Issue Title
 
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 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
"... potentials. We investigate the point spectrum of the three-particle discrete Schrödinger operator H(K), K ∈ T ..."
 
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 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 two-particle Schrödinger operator h_(k); k 2 Td (where _ > 0, Td is a d-dimensional torus ..."
 
Vol 13, No 6 (2022) Spin Boltzmann machine Abstract  PDF (Eng)  similar documents
I. S. Lobanov
 
Vol 14, No 4 (2023) A model of charged particle on the flat Mobius strip in a magnetic field Abstract  PDF (Eng)  similar documents
I. Y. Popov
"... The spectral problem for the Schrodinger operator with a magnetic field on the flat M ¨ obius ..."
 
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 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 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
"... the operator H(K) has a finite number of negative eigenvalues if the associated Friedrichs model has a zero ..."
 
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
"... ) = xayβ f (x, y) for perturbation with partial integral operators in the spaces L2 [0, 1]2 is studied ..."
 
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 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
"... We consider a family of 2 × 2 operator matrices Aµ(k), k ∈ T3 := (−π, π]3, µ > 0, acting ..."
 
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
"... We consider the two-particle Schrodinger operator¨ H(k), (k∈T3 ≡ (−π,π]3 is the total ..."
 
Vol 9, No 2 (2018) N wells at a circle. Splitting of lower eigenvalues Abstract  PDF (Eng)  similar documents
T. F. Pankratova
"... A stationary Schrodinger operator on¨ R2 with a potential V having N nondegenerate minima which ..."
 
Vol 15, No 2 (2024) Mathematical model of weakly coupled spherical resonator chains under the influence of external magnetic field Abstract  PDF (Eng)  similar documents
A. S. Melikhova, A. I. Popov, I. V. Blinova, I. Y. Popov
"... The Schrödinger operators with constant magnetic field in a bent chain and Y-type chain of coupled ..."
 
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 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
"... расширений симметрических операторов.  ..."
 
Vol 2, No 2 (2011) Quantum ring with wire: a model of two-particles problem Abstract  similar documents
D. A. Eremin, I. Yu. Popov
"... Построены операторы, описывающие поведение двух частиц с 𝛿−взаимодействием на прямой и в кольце ..."
 
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
"... We consider a two-particle Schrodinger operator H on the d−dimensional diamond lattice. We find ..."
 
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 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 13, No 6 (2022) Master equation for correlators of normal-ordered field mode operators Abstract  PDF (Eng)  similar documents
A. D. Vatutin, G. P. Miroshnichenko, A. I. Trifanov
"... the normal form of the averaged normal-ordered operators. We give an example of using this equation ..."
 
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 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 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 7, No 2 (2016): Special Issue Dirac operator coupled to bosons Abstract  PDF (Eng)  similar documents
A. A. Boitsev, H. Neidhardt, I. Y. Popov
"... . The electrons are relativistic and are described by a Dirac operator on a bounded interval while the bosons ..."
 
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 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 15, No 5 (2024) Inverse source problem for the subdiffusion equation with edge-dependent order of time-fractional derivative on the metric star graph Abstract  PDF (Eng)  similar documents
Zarifboy A Sobirov, Ariukhan A. Turemuratova
"... . The direct and inverse problems are transformed into operator equations to derive solutions. The uniqueness ..."
 
Vol 15, No 2 (2024) Photon antibunching in sixth harmonic generation Abstract  PDF (Eng)  similar documents
Rupesh Singh, Dilip Kumar Giri
 
Vol 15, No 1 (2024) Non-compact perturbation of the spectrum of multipliers given by a special form Abstract  PDF (Eng)  similar documents
R. R. Kucharov, T. M. Tuxtamurodova
"... ) for perturbation with non-compact partially integral operators is studied. In addition, the existence of resonance ..."
 
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 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
"... We consider a 2×2 operator matrix Aµ, µ > 0 related with the lattice systems describing two ..."
 
Vol 14, No 6 (2023) Hidden polarization in open quantum systems Abstract  PDF (Eng)  similar documents
A. D. Vatutin, G. P. Miroshnichenko, A. I. Trifanov
"... in an alternative form, which preserves the normal-ordered representation of the averaged normal-ordered operators ..."
 
Vol 6, No 4 (2015) On construction of evolutionary operator for rectangular linear optical multiport Abstract  PDF (Eng)  similar documents
M. M. Lipovich, I. S. Lobanov
"... techniques. It was also shown that any discrete unitary operator acting on N optical modes can be implemented ..."
 
Vol 10, No 6 (2019) Exact calculation of the trace of the Birman–Schwinger operator of the one-dimensional harmonic oscillator perturbed by an attractive Gaussian potential Abstract  PDF (Eng)  similar documents
S. Fassari, F. Rinaldi
"... harmonic oscillator, we explicitly calculate the trace of the Birman–Schwinger operator of the one ..."
 
Vol 12, No 4 (2021) Dirac operator with different potentials on edges of quantum graph: resonance asymptotics Abstract  PDF (Eng)  similar documents
A. G. Belolipetskaia, I. Y. Popov
"... Asymptotics of resonances for the Dirac operator with different potentials on edges of a quantum ..."
 
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 12, No 1 (2021) Discrete spectrum Analysis using Laplace transform and Volterra equations (DALV-method) Abstract  PDF (Eng)  similar documents
V. V. Kuidin, V. V. Zalipaev, D. R. Gulevich
 
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
"... lattice. We investigate the number and location of the eigenvalues of Hμ,λ. The existence of eigenvalues ..."
 
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 5 (2023) Verification of continuum-based model of carbon materials Abstract  PDF (Eng)  similar documents
K. B. Tsiberkin
"... on the transition from lattice operators to field operators. The present study verifies the given model evaluating ..."
 
Vol 12, No 2 (2021) On the choice of parameters for a model of small window Abstract  PDF (Eng)  similar documents
A. S. Melikhova, M. P. Faleeva, I. Y. Popov
"... nanolayers and for fitting the model based on the operator extensions theory. ..."
 
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 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 11, No 4 (2020) Positive fixed points of Lyapunov operator Abstract  PDF (Eng)  similar documents
R. N. Ganikhodjaev, R. R. Kucharov, K. A. Aralova
 
Vol 8, No 2 (2017) Coupling of definitizable operators in Kreın spaces Abstract  PDF (Eng)  similar documents
V. Derkach, C. Trunk
"... Indefinite Sturm–Liouville operators defined on R are often considered as a coupling of two ..."
 
Vol 14, No 1 (2023) Exact irregular solutions to radial Schrödinger equation for the case of hydrogen-like atoms Abstract  PDF (Eng)  similar documents
C. Parkash, W. C. Parke, P. Singh
"... замкнутых форм регулярных и нерегулярных решений кулоновского уравнения Шредингера для электрона ..."
 
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
"... We consider the family of 3 х 3 operator matrices H(K), K ϵ Td := (-π; π]d arising in the spectral ..."
 
Vol 7, No 5 (2016) Dynamical inverse problem for the discrete Schrödinger operator Abstract  PDF (Eng)  similar documents
A. S. Mikhaylov, V. S. Mikhaylov
"... We consider the inverse problem for the dynamical system with discrete Schrödinger operator ..."
 
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
"... of the operator having the form S = A⊗IT + IA⊗T where the operator A is symmetric and the operator T is bounded ..."
 
Vol 8, No 5 (2017) Lyapunov operator L with degenerate kernel and Gibbs measures Abstract  PDF (Eng)  similar documents
Yu. Kh. Eshkabilov, F. H. Haydarov
"... In this paper, we studied the fixed points of the Lyapunov operator with degenerate kernel ..."
 
Vol 7, No 2 (2016): Special Issue Boundary triples for Schrӧdinger operators with singular interactions on hypersurfaces Abstract  PDF (Eng)  similar documents
J. Behrndt, M. Langer, V. Lotoreichik
"... The self-adjoint Schr¨odinger operator Aδ,α with a δ-interaction of constant strength α supported ..."
 
Vol 2, No 4 (2011) Threshold eigenfunctions and threshold resonances of some relativistic operators Abstract  PDF (Eng)  similar documents
Y. Saitō, T. Umeda
"... resonances of magnetic Dirac operators and Pauli operators. Emphasis is placed on a proof of the non ..."
 
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 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 12, No 5 (2021) Bound states for Laplacian perturbed by varying potential supportedby line in R3 Abstract  PDF (Eng)  similar documents
A. S. Bagmutov
 
Vol 10, No 2 (2019) Inverse dynamic problem for the wave equation with periodic boundary conditions Abstract  PDF (Eng)  similar documents
A. S. Mikhaylov, V. S. Mikhaylov
"... value problem. As inverse data we use a response operator (dynamic Dirichlet-to-Neumann map). Using ..."
 
Vol 9, No 6 (2018) Scattering on a chain of zero-range potentials with internal structure in the stochastic magnetic field Abstract  PDF (Eng)  similar documents
A. E. Ryzhkov
"... in the stochastic magnetic field is investigated. Model operator is constructed using the perturbation theory ..."
 
Vol 4, No 2 (2013) Note on 2D Schrödinger operators with δ-interactions on angles and crossing lines Abstract  PDF (Eng)  similar documents
V. Lotoreichik
"... ] for the spectrum of the 2D Schrödinger operator with a δ-interaction supported on a planar angle. Using the same ..."
 
Vol 4, No 4 (2013): Special Issue. INTERNATIONAL CONFERENCE "MATHEMATICAL CHALLENGE OF QUANTUM TRANSPORT IN NANOSYSTEMS - 2013. PIERRE DUCLOS WORKSHOP" Diffusion and laplacian transport for absorbing domains Abstract  PDF (Eng)  similar documents
I. Baydoun, V. A. Zagrebnov
 
Vol 8, No 2 (2017) The behaviour of the three-dimensional Hamiltonian −∆ + λ [δ(x + x0) + δ(x − x0)] as the distance between the two centres vanishes Abstract  PDF (Eng)  similar documents
S. Albeverio, S. Fassari, F. Rinaldi
 
Vol 8, No 2 (2017) Waveguides with fast oscillating boundary Abstract  PDF (Eng)  similar documents
G. Cardone
"... We consider an elliptic operator in a planar waveguide with a fast oscillating boundary where we ..."
 
Vol 3, No 1 (2012) Bound states in birefringent crystals doped with two-level atoms Abstract  similar documents
M. B. Belonenko, A. S. Sasov, A. V Alpatov
"... atoms. Using the kinetic equation for the mean values of pseudospin operators, and decay in the random ..."
 
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
 
Vol 8, No 3 (2017) On a problem for the loaded degenerating mixed type equation involving integral-differential operators Abstract  PDF (Eng)  similar documents
B. I. Islomov, O. Kh. Abdullayev, N. K. Ochilova
 
Vol 3, No 3 (2012) Spectral problem for the chains of weakly coupled conglobate resonators Abstract  similar documents
A. S. Anikevich
"... by using of the theory of self-adjoint extensions of symmetric operators, Bloch's theory and approach ..."
 
Vol 13, No 4 (2022) Comparison of Gaussian and vortex beams in free-space QKD with phase encoding in turbulent atmosphere Abstract  PDF (Eng)  similar documents
I. A. Adam, D. A. Yashin, D. A. Kargina, B. A. Nasedkin
 
Vol 13, No 1 (2022) Asymptotic analysis of a planar waveguide perturbed by a non periodic perforation Abstract  PDF (Eng)  similar documents
G. Cardone, T. Durante
"... We consider a general second order elliptic operator in a planar waveguide perforated by small ..."
 
Vol 15, No 1 (2024) Existence and uniqueness theorem for a weak solution of fractional parabolic problem by the Rothe method Abstract  PDF (Eng)  similar documents
Y. Bekakra, A. Bouziani
"... problem of a time fractional equation involving the Caputo fractional derivative with an integral operator ..."
 
Vol 8, No 2 (2017) On convergence rate estimates for approximations of solution operators for linear non-autonomous evolution equations Abstract  PDF (Eng)  similar documents
H. Neidhardt, A. Stephan, V. A. Zagrebnov
"... operators for linear non-autonomous Cauchy problem. The Trotter product formula approximation is proved ..."
 
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 12, No 1 (2021) Domain wall evolution at nanowires in terms of 3D LLG equation initial-boundary problem Abstract  PDF (Eng)  similar documents
S. Leble
"... , the conventional orthonormal Bessel basis, combined with projecting operators technique applied to subspaces ..."
 
Vol 6, No 4 (2015) Exact classical stochastic representations of the many-body quantum dynamics Abstract  PDF (Eng)  similar documents
E. A. Polyakov, P. N. Vorontsov-Velyaminov
"... to the expansions of the density operator over a certain overcomplete operator basis. Our conclusions are supported ..."
 
Vol 5, No 3 (2014) Essential and discrete spectrum of a three-particle lattice Hamiltonian with non-local potentials Abstract  PDF (Eng)  similar documents
T. H. Rasulov, Z. D. Rasulova
"... We consider a model operator (Hamiltonian) H associated with a system of three particles on a d ..."
 
Vol 7, No 5 (2016) Translation-invariant Gibbs measures for a model with logarithmic potential on a Cayley tree Abstract  PDF (Eng)  similar documents
Yu. Kh. Eshkabilov, Sh. P. Bobonazarov, R. I. Teshaboev
 
Vol 6, No 5 (2015) On positive solutions of the homogeneous Hammerstein integral equation Abstract  PDF (Eng)  similar documents
Yu. Kh. Eshkabilov, F. H. Haydarov
"... In this paper the existence and uniqueness of positive fixed points operator for a nonlinear ..."
 
Vol 7, No 2 (2016): Special Issue Spectral properties of a symmetric three-dimensional quantum dot with a pair of identical attractive δ-impurities symmetrically situated around the origin Abstract  PDF (Eng)  similar documents
S. Albeverio, S. Fassari, F. Rinaldi
 
Vol 9, No 2 (2018) Inverse dynamic problems for canonical systems and de Branges spaces Abstract  PDF (Eng)  similar documents
A. S. Mikhaylov, V. S. Mikhaylov
 
Vol 12, No 4 (2021) Analog of the Darboux problem for a loaded integro-differential equation involving the Caputo fractional derivative Abstract  PDF (Eng)  similar documents
U. Baltaeva, Y. Alikulov, I. I. Baltaeva, A. Ashirova
"... -differential equation with Caputo operator by method of integral equations. The problem is equivalently reduced ..."
 
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 7, No 5 (2016) Spectral properties of a symmetric three-dimensional quantum dot with a pair of identical attractive δ-impurities symmetrically situated around the origin II Abstract  PDF (Eng)  similar documents
S. Albeverio, S. Fassari, F. Rinaldi
 
Vol 12, No 1 (2021) Bifurcating standing waves for effective equations in gapped honeycomb structures Abstract  PDF (Eng)  similar documents
W. Borrelli, R. Carlone
"... уравнений Шредингера, и доказываем существование стоячих волн, ответвляющихся от одного края полосы ..."
 
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 7, No 2 (2016): Special Issue Laplacians with singular perturbations supported on hypersurfaces Abstract  PDF (Eng)  similar documents
A. Mantile, A. Posilicano
"... where the reference operator coincides with the free selfadjoint Laplacian in Rn, providing in this way ..."
 
Vol 14, No 2 (2023) Optical high harmonic generation in a quantum graph Abstract  PDF (Eng)  similar documents
S. Z. Rakhmanov, I. B. Tursunov, K. Sh. Matyokubov, D. U. Matrasulov
"... численно решения нестационарного уравнения Шредингера на квантовом графе, вычислено основные характеристики ..."
 
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 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 16, No 3 (2025) Effect of electron-phonon interaction on the first excited energy level of a Gaussian GaAs quantum dot Abstract  PDF (Eng)  similar documents
S. Mukhopadhyay, Ch. Vidyullatha, P. Saini, Z. Malik
"... -Шредингера второго порядка. Аналитическое выражение для поляронной поправки первого возбужденного состояния ..."
 
Vol 16, No 3 (2025) Sub-Poissonian light in fluctuating thermal-loss bosonic channels Abstract  PDF (Eng)  similar documents
I. Stepanov, R. Goncharov, A. D. Kiselev
"... состояний кота Шредингера. ..."
 
Vol 13, No 1 (2022) Comments on the Chernoff estimate Abstract  PDF (Eng)  similar documents
V. A. Zagrebnov
"... estimate in the strong operator topology and the operator-norm estimate for quasi-sectorial contractions ..."
 
Vol 7, No 5 (2016) Cauchy problem for some fourth-order nonstrictly hyperbolic equations Abstract  PDF (Eng)  similar documents
V. I. Korzyuk, N. V. Vinh
"... , and the equation operator is composed of first-order linear operators. ..."
 
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 6, No 3 (2015) Topological damping of Aharonov-Bohm effect: quantum graphs and vertex conditions Abstract  PDF (Eng)  similar documents
O. Kurasov, A. Serio
"... The magnetic Schr¨ odinger operator was studied on a figure 8-shaped graph. It is shown ..."
 
Vol 6, No 2 (2015) Uncertainty relation between angle and orbital angular momentum: interference effect in electron vortex beams Abstract  PDF (Eng)  similar documents
Sh. Tanimura
"... is not represented by a quantum mechanical self-adjoint operator. Instead of the angle variable operator, we ..."
 
Vol 7, No 5 (2016) Computer simulation of periodic nanostructures Abstract  PDF (Eng)  similar documents
E. N. Grishanov, I. Y. Popov
"... background of the model is based on the theory of self-adjoint extensions of symmetric operators. ..."
 
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 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 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 6, No 5 (2015) Waveguide bands for a system of macromolecules Abstract  PDF (Eng)  similar documents
V. M. Adamyan, I. V. Blinova, A. I. Popov, I. Yu. Popov
"... -adjoint extensions of symmetric operators. Possible applications also discussed.  ..."
 
Vol 6, No 1 (2015) On the Stokes flow computation algorithm based on woodbury formula Abstract  PDF (Eng)  similar documents
A. I. Popov, I. S. Lobanov, I. Yu. Popov, T. V. Gerya
"... of the discrete Stokes operator is made in analytic form for the case of constant viscosity. ..."
 
Vol 8, No 1 (2017) On a non-separable quantum many-particle system on the half-line Abstract  PDF (Eng)  similar documents
J. Kerner, T. Mühlenbruch
"... a well-defined self-adjoint operator (the Hamiltonian for our system) and elaborate on its spectral ..."
 
Vol 9, No 2 (2018) A model of electron transport through a boson cavity Abstract  PDF (Eng)  similar documents
A. A. Boitsev, J. Brasche, H. Neidhardt, I. Y. Popov
"... extensions of symmetric operators. Using the boundary triplets approach, the gamma-field and the Weyl ..."
 
Vol 8, No 2 (2017) Model of tunnelling through double quantum layer in a magnetic field Abstract  PDF (Eng)  similar documents
D. L. Meynster, I. Y. Popov, A I. Popov
"... magnetic field are constructed. The theory of self-adjoint extensions of symmetric operators is used ..."
 
Vol 8, No 2 (2017) Unique continuation principles and their absence for Schrodinger eigenfunctions on combinatorial and quantum graphs and in continuum space Abstract  PDF (Eng)  similar documents
N. Peyerimhoff, M. Taufer, I. Veselic
"... (IDS) of Schrodinger operators with random potentials. For discrete Schr odinger equations ..."
 
Vol 1, No 1 (2010) Resonance one-body scattering on a junction Abstract  PDF (Eng)  similar documents
G. Martin, A. M. Yafyasov, B. S. Pavlov
"... by the spectral properties of the relevant Schrodinger operator on the vertex domain. Typically, ¨ 1-D features ..."
 
Vol 10, No 4 (2019) Quantum image transmission based on linear elements Abstract  PDF (Eng)  similar documents
P. A. Gilev, I. Y. Popov
"... by replacing the non-linear optical elements with a conventional quantum entanglement operator. The obtained ..."
 
Vol 7, No 5 (2016) Control and inverse problems for networks of vibrating strings with attached masses Abstract  PDF (Eng)  similar documents
F. Al-Musallam, S. Avdonin, N. Avdonina, J. Edward
"... and the Steklov-Poincare operator for the dynamic wave equation on the tree. The general result is obtained ..."
 
Vol 8, No 2 (2017) Error analysis in circuits building at the quantum computing platform IBM Quantum Experience Abstract  PDF (Eng)  similar documents
E. O. Samsonov
"... qubit, used in ‘IBM Quantum Experience’, after an interaction with a quantum operator. ..."
 
Vol 8, No 4 (2017) Quantum measurement of photon distribution statistics for intra-cavity EM field monitored by dumping atom-pointer Abstract  PDF (Eng)  similar documents
A. I. Trifanov, E. S. Trifanova
"... in the model. In this paper, we use the super-operators approach to intra-cavity mode evolution conditioned ..."
 
Vol 9, No 4 (2018) Wave dynamics on time-depending graph with Aharonov-Bohm ring Abstract  PDF (Eng)  similar documents
D. A. Eremin, E. N. Grishanov, D. S. Nikiforov, I. Y. Popov
"... of eigenfunctions of the unperturbed self-adjoint operator for the stationary graph. The coefficients ..."
 
Vol 7, No 5 (2016) Resonance scattering across the superlattice barrier and the dimensional quantization Abstract  PDF (Eng)  similar documents
B. Pavlov, A. Yafyasov
"... with solvable models of periodic lattice; Lagrangian version of the operator extension algorithm; solvable ..."
 
Vol 8, No 2 (2017) Zigzag chain model and its spectrum Abstract  PDF (Eng)  similar documents
A. S. Melikhova
"... with a constant intensity. The model is based on the theory of self-adjoint extensions of symmetrical operators ..."
 
Vol 4, No 6 (2013) Semiclassical analysis of tunneling through a smooth potential barrier and localized states in graphene monolayer with mass gap Abstract  PDF (Eng)  similar documents
V. V. Zalipaev, C. M. Linton
"... barrier in graphene resembles scattering through a double barrier for the 1D Schrödinger operator, i ..."
 
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