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Issue Title
 
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
"... interactions is considered. The corresponding Schrödinger operator (energy operator) h" depending ..."
 
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 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
"... We consider the three-particle discrete Schrödinger operator H; (K); K 2 T3, associated ..."
 
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 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 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 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 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 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 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 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 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 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 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 9, No 2 (2018) Approximation of eigenvalues of Schrodinger operators¨ Abstract  PDF (Eng)  similar documents
J. F. Brasche, R. Fulsche
"... resolvent convergence of the associated self-adjoint operators and thus, in turn, convergence of discrete ..."
 
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 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 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 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 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
 
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 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 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 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 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
"... f (x, y) for perturbation with partial integral operators in the spaces L2 [0, 1]2 is studied ..."
 
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 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 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 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 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 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 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 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
"... of the two-particle Schrödinger operator hμ(k), k∈T3, μ∈R associated to the Hamiltonian h, are studied ..."
 
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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 ..."
 
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