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Issue Title
 
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 BirmanSchwinger operator of the one ..."
 
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 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) 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 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 12, No 5 (2021) Bound states for Laplacian perturbed by varying potential supportedby line in R3 Abstract  PDF (Eng)  similar documents
A. S. Bagmutov
"... an upper bound on the number of bound states, using Birman-Schwinger method. ..."
 
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 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
"... Hamiltonian of the three-dimensional isotropic harmonic oscillator perturbed by either a single attractive δ ..."
 
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 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 15, No 2 (2024) Photon antibunching in sixth harmonic generation Abstract  PDF (Eng)  similar documents
Rupesh Singh, Dilip Kumar Giri
"... We studied photon antibunching in the pump and the harmonic modes of the sixth harmonic generation ..."
 
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
"... prove the BirmanSchwinger principle for A2 with respect to S1(_). We investigate an important ..."
 
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 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 11, No 2 (2020) Particle transport in a network of quantum harmonic oscillators Abstract  PDF (Eng)  similar documents
J. R. Yusupov, Kh. Sh. Matyokubov, K. K. Sabirov
"... oscillators by solving the stationary Schrodinger¨ equation on metric graphs in the presence of harmonic ..."
 
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 one dimension (harmonic or conic oscillator with a central nonlocal δ0-interaction) or three ..."
 
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 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 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 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 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 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
"... We consider the inverse dynamic problem for the wave equation with a potential on an interval (0 ..."
 
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
"... Scattering problem on an infinite chain of zero-range potentials with internal structure ..."
 
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
"... ) as well as to the three-dimensional model involving impurities given by potentials whose range may even ..."
 
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 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 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 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
"... on the propagating Gaussian beam. In turn, a number of works have shown that vortex beams are more stable ..."
 
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 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 13, No 6 (2022) Spin Boltzmann machine Abstract  PDF (Eng)  similar documents
I. S. Lobanov
 
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 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 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 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
"... interacting via some attractive potential is considered. Conditions for the existence of eigenvalues ..."
 
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 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 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 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 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 Light scattering of Laguerre-Gaussian beams: near-field structures and symmetries Abstract  PDF (Eng)  similar documents
A. D. Kiselev, D. O. Plutenko
"... spherical particles illuminated by a Laguerre-Gaussian (LG) light beam. The optical field in the near-field ..."
 
Vol 8, No 3 (2017) Interaction of fast and slow varying electromagnetic waves propagating in paraelectric or ferroelectric material Abstract  PDF (Eng)  similar documents
A. I. Maimistov
"... Once, a referee asked how one can write an oscillator model for a ferroelectric and the total ..."
 
Vol 13, No 3 (2022) The Gaussian impurity effect on the electronic and magnetic properties of an electron con ned in a lateral quantum dot Abstract  PDF (Eng)  similar documents
A. Shaer, M. K. Elsaid
"... of eigenfunctions of the harmonic oscillator in x and y coordinates. The effects of Gaussian impurity parameters ..."
 
Vol 11, No 6 (2020) On quantum bit coding by Gaussian beam modes for the quantum key distribution Abstract  PDF (Eng)  similar documents
M. P. Faleeva, I. Y. Popov
 
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
"... High ordered harmonic generation in a quantum graph is studied by considering quantum star graph ..."
 
Vol 14, No 1 (2023) A study of confined Stark effect, hydrostatic pressure and temperature on nonlinear optical properties in 1D GaxAl1−xAs/GaAs/GaxAl1−xAs quantum dots under a finite square well potential Abstract  PDF (Eng)  similar documents
R. Chaurasiya, S. Dahiya, R. Sharma
"... and refractive index in a 1D GaxAl1−xAs/GaAs/GaxAl1−xAs quantum dots under a finite square well potential using ..."
 
Vol 11, No 3 (2020) High harmonic generation by an atom confined in nanoscale cavity Abstract  PDF (Eng)  similar documents
S. Z. Rakhmanov, O. V. Karpova, F. S. Khashimova, B. Kh. Eshchanov
"... We consider optical high harmonic generation in a hydrogen-like atom confined in a spherical ..."
 
Vol 8, No 1 (2017) Absorbing boundary conditions for Schrӧdinger equation in a time-dependent interval Abstract  PDF (Eng)  similar documents
O. Karpova, K. Sabirov, D. Otajanov, A. Ruzmetov, A. A. Saidov
"... We consider the reflection-transmission of the Gaussian wave packet through the moving wall ..."
 
Vol 7, No 6 (2016) Minimum energy path calculations with Gaussian process regression Abstract  PDF (Eng)  similar documents
O-P. Koistinen, E. Maras, H. Jonsson
"... computational effort. Gaussian process regression is used here to reduce significantly the number of energy ..."
 
Vol 8, No 1 (2017) Simulation of DIBL effect in 25 nm SOI-FinFET with the different body shapes Abstract  PDF (Eng)  similar documents
A. E. Atamuratov, A. Abdikarimov, M. Khalilloev, Z. A. Atamuratova, R. Rahmanov, A. Garcia-Loureiro, A. Yusupov
 
Vol 10, No 4 (2019) On a possibility to develop a full-potential orbital-free modeling approach Abstract  PDF (Eng)  similar documents
V. G. Zavodinsky, O. A. Gorkusha
"... We studied a principal opportunity to develop a full–potential orbital–free method for modeling ..."
 
Vol 8, No 1 (2017) Adiabatic cycles in quantum systems with contact interactions Abstract  PDF (Eng)  similar documents
A. Tanaka, T. Cheon
"... An adiabatic cycle involving the-function potential is shown to excite Bose particles confined ..."
 
Vol 14, No 4 (2023) On spin flip for electron scattering by several delta-potentials for 1D Hamiltonian with spin-orbit interaction Abstract  PDF (Eng)  similar documents
I. V. Blinova, E. N. Grishanov, A. I. Popov, I. Y. Popov, M. O. Smolkina
"... . It is assumed that there are point-like potentials on the line. The scattering problem is solved ..."
 
Vol 8, No 1 (2017) Accelerated dynamics in adiabatically-tunable asymmetric double-well potential Abstract  PDF (Eng)  similar documents
I. Setiawan, B. E. Gunara, J. S. Kosasih, K. Nakamura
"... with a parameter-dependent asymmetric double-well potential which has no scale invariance, and obtain ..."
 
Vol 9, No 2 (2018) Cyclic-periodic ZRP structures. Scattering problem for generalized Bloch functions and conductivity Abstract  PDF (Eng)  similar documents
S. Leble
"... is formulated. The results are used for formulating the zero range potential (ZRP) conditions for arbitrary ..."
 
Vol 13, No 3 (2022) Influence of dissipative tunneling on the photodielectric effect associated with the excitation of impurity complexes A+ + e in a quasi-zero-dimensional structure Abstract  PDF (Eng)  similar documents
V. D. Krevchik, A. V. Razumov, M. B. Semenov, A. V. Levashov, A. V. Shorokhov
"... in a quasi-zero-dimensional structure, has been studied in the zero-radius potential model in the one ..."
 
Vol 10, No 1 (2019) Hund’s rule in open-shell states of two-electron systems: From free through confined and screened atoms, to quantum dots Abstract  PDF (Eng)  similar documents
Jacob Katriel, H. E. Montgomery, Jr., A. Sarsa, E. Buend´ıa, F. J. Galvez, K. D. Sen
"... -electron atom we consider the two-electron quantum dot confined by either a harmonic potential ..."
 
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