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+
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INFLUENCE OF QUANTUM GRAPH PARAMETERSON THE ASYMPTOTICS OF THE NUMBER OF RESONANCES
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2024
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Anna G. Belolipetskaia
I. Yu. Popov
|
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+
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Magnetic Schrödinger operator on the flat Möbius strip
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2024
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I. Yu. Popov
|
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+
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Fibonacci Model Unitary Subgroup Structure
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2023
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P.A. Gilev
Vladislav Katasonov
I. Yu. Popov
|
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+
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On transparent vertex boundary conditions for quantum graphs
|
2023
|
A. A. Lavrukhine
A. I. Popov
I. Yu. Popov
|
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+
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NON-WEYL RESONANCE ASYMPTOTICS FOR QUANTUM GRAPH WITH THE DIRAC OPERATOR ON EDGES
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2023
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Anna G. Belolipetskaia
I. Yu. Popov
|
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+
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Spectrum of the Laplacian on a Domain with the Boundary and Barrier, Composed of Small Resonators
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2022
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Alexander S. Bagmutov
I. Yu. Popov
|
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+
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Hofstadter butterflies for square and honeycomb periodic arrays of quantum dots with Aharonov-Bohm solenoids
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2022
|
E.N. Grishanov
O.S. Gryazeva
I. Yu. Popov
|
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+
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Resonances in Two-Dimensional Quantum Waveguides Separated by a Semitransparent Barrier with a Small Window
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2021
|
A.M. Vorobiev
I. Yu. Popov
|
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+
PDF
Chat
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Dirac operator with different potentials on edges of quantum graph: resonance asymptotics
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2021
|
Anna G. Belolipetskaia
I. Yu. Popov
|
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+
PDF
Chat
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Simulation of detection and scattering of sound waves by the lateral line of a fish
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2021
|
V. M. Adamyan
I. Yu. Popov
I.V. Blinova
Vladimir Zavalniuk
|
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+
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3D Helmholtz resonator with two close point-like windows: Regularisation for Dirichlet case
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2021
|
Anna Belolipetskaya
A. A. Boitsev
Silvestro Fassari
I. Yu. Popov
|
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+
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On the electron transmission control by a direction of magnetic field
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2021
|
I. Yu. Popov
I.V. Blinova
Elvina A. Shamionova
M O Smolkina
|
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+
PDF
Chat
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On the choice of parameters for a model of small window
|
2021
|
A.S. Melikhova
Maria Faleeva
I. Yu. Popov
|
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+
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Scattering, Spectrum and Resonance States Completeness for a Quantum Graph with Rashba Hamiltonian
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2021
|
I.V. Blinova
I. Yu. Popov
M O Smolkina
|
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+
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On the Spectrum Discreteness for the Magnetic Schrödinger Operator on Quantum Graphs
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2021
|
I. Yu. Popov
Anna G. Belolipetskaia
|
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+
PDF
Chat
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Resonance asymptotics for a pair quantum waveguides with common semitransparent perforated wall
|
2020
|
A.M. Vorobiev
Ekaterina Trifanova
I. Yu. Popov
|
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+
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On the behaviour of the two-dimensional Hamiltonian $-\,{\rm{\Delta }}+\lambda [\delta (\vec{x}+{\vec{x}}_{0})+\delta (\vec{x}-{\vec{x}}_{0})]$ as the distance between the two centres vanishes
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2020
|
Silvestro Fassari
I. Yu. Popov
Fabio Rinaldi
|
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+
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A model of a boundary composed of the Helmholtz resonators
|
2020
|
I. Yu. Popov
I.V. Blinova
Антон Юрьевич Попов
|
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+
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Point-like perturbation of Rashba Hamiltonian
|
2020
|
A. A. Boitsev
Johannes F. Brasche
I. Yu. Popov
|
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+
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Quantum graph in a magnetic field and resonance states completeness
|
2020
|
I. Yu. Popov
I.V. Blinova
|
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+
PDF
Chat
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On the spectrum and scattering for metric graph with fourth order operator
|
2020
|
I.V. Blinova
Yana M. Van-Yun-Syan
I. Yu. Popov
|
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+
PDF
Chat
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Numerical analysis of multi-particle states in coupled nano-layers in electric field
|
2020
|
I. Yu. Popov
Alexander Bagmutov
Ivan Melikhov
Hatem Najar
|
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+
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Superior Hardness and Stiffness of Diamond Nanoparticles
|
2020
|
Alexander Quandt
I. Yu. Popov
David Tománek
|
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+
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Point-like perturbation for Lamé operator
|
2019
|
I.V. Blinova
A. A. Boitsev
I. Yu. Popov
André Froehly
Hagen Neidhardt
|
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+
PDF
Chat
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On the metric graph model for flows in tubular nanostructures
|
2019
|
M.O. Smolkina
I. Yu. Popov
I.V. Blinova
Emmanouil Milakis
|
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+
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Resonance states completeness for relativistic particle on a sphere with two semi-infinite lines attached
|
2019
|
I.V. Blinova
I. Yu. Popov
Антон Юрьевич Попов
|
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+
PDF
Chat
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System completeness of resonance states for graphs with different geometry
|
2019
|
I.V. Blinova
Ya.M. Van-Yun-Syan
I. Yu. Popov
|
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+
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Spectral analysis of the Dirac operator on Y-type chain quantum graph
|
2019
|
I.V. Blinova
Angelika Finyutina
I. Yu. Popov
|
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+
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Time-dependent metric graph: Wave dynamics
|
2019
|
Антон Юрьевич Попов
I. Yu. Popov
Dmitri S. Nikiforov
I.V. Blinova
|
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+
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Scattering of elastic waves by point-like obstacle in two-dimensional case
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2019
|
I. Yu. Popov
I.V. Blinova
A. A. Boitsev
André Froehly
Hagen Neidhardt
|
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+
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Schrödinger and Dirac dynamics on time-dependent quantum graph
|
2018
|
D S Nikiforov
I.V. Blinova
I. Yu. Popov
|
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+
PDF
Chat
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Boundary Triplets, Tensor Products and Point Contacts to Reservoirs
|
2018
|
A. A. Boitsev
Johannes F. Brasche
M. M. Malamud
Hagen Neidhardt
I. Yu. Popov
|
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+
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Spectral Properties of Graphene with Periodic Array of Defects in a Magnetic Field
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2018
|
E.N. Grishanov
I. Yu. Popov
|
|
+
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Incompleteness of resonance states for quantum ring with two semi-infinite edges
|
2018
|
Dmitrii Gerasimov
I. Yu. Popov
I.V. Blinova
Антон Юрьевич Попов
|
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+
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Classical and quantum wave dynamics on time-dependent geometric graph
|
2018
|
I. Yu. Popov
Dmitri S. Nikiforov
|
|
+
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Quantum graph with the Dirac operator and resonance states completeness
|
2018
|
I.V. Blinova
I. Yu. Popov
|
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+
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Quantum Dot with Attached Wires: Resonant States Completeness
|
2017
|
I. Yu. Popov
Антон Юрьевич Попов
|
|
+
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On the spectrum of the Dirac operator for bent periodic chain of spheres connected through 1D wires
|
2017
|
A.S. Melikhova
I. Yu. Popov
|
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+
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Completeness of resonance states for quantum graph with two semi-infinite edges
|
2017
|
Dmitrii Gerasimov
I. Yu. Popov
|
|
+
PDF
Chat
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Bound state for dielectric waveguide with high contrast inset in the core
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2017
|
Maria Faleeva
I. Yu. Popov
|
|
+
PDF
Chat
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On the discrete spectrum of the Dirac operator on bent chain quantum graph
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2017
|
Michail Belov
I. Yu. Popov
I.V. Blinova
|
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+
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Resonance state completeness problem for quantum graph
|
2017
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Антон Юрьевич Попов
I. Yu. Popov
Dmitry A. Gerasimov
|
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+
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Harnack's Inequality for Stokes Graph
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2016
|
Maria O. Kovaleva
I. Yu. Popov
|
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+
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Bound state for dielectric waveguide with locally perturbed core
|
2016
|
Maria Faleeva
I. Yu. Popov
|
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+
PDF
Chat
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Dirac operator coupled to bosons
|
2016
|
A. A. Boitsev
Hagen Neidhardt
I. Yu. Popov
|
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+
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Dirac operator on the sphere with attached wires
|
2016
|
E.N. Grishanov
D.A. Eremin
Д. А. Иванов
I. Yu. Popov
|
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+
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BENCHMARK SOLUTIONS FOR STOKES EQUATIONS WITH VARIABLE VISCOSITY IN CYLINDRICAL AND SPHERICAL COORDINATES
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2016
|
Ilya V. Makeev
I. Yu. Popov
I.V. Blinova
|
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+
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Spectral problem for solvable model of bent nano peapod
|
2015
|
A.S. Melikhova
I. Yu. Popov
|
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+
PDF
Chat
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Discrete spectrum for quantum graph with local disturbance of the periodicity
|
2015
|
I. Yu. Popov
I.V. Blinova
Антон Юрьевич Попов
|
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+
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On the spectrum discreteness of the quantum graph Hamiltonian with δ-coupling
|
2015
|
M O Smolkina
I. Yu. Popov
|
|
+
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On Molchanov's Condition for the Spectrum Discreteness of a Quantum Graph Hamiltonian with δ-Coupling
|
2015
|
Maria O. Kovaleva
I. Yu. Popov
|
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+
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Graph model for the Stokes flow
|
2014
|
Maria O. Kovaleva
I. Yu. Popov
|
|
+
PDF
Chat
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Point contacts and boundary triples
|
2014
|
Vladimir Lotoreichik
Hagen Neidhardt
I. Yu. Popov
|
|
+
PDF
Chat
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Bent and branched chains of nanoresonators
|
2014
|
A.S. Melikhova
I. Yu. Popov
|
|
+
PDF
Chat
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The discrete spectrum of the multiparticle Hamiltonian in the framework of the Hartree-Fock approximation
|
2014
|
Ivan Melikhov
I. Yu. Popov
|
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+
PDF
Chat
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Chain of point-like potentials in ℛ3and infiniteness of the number of bound states
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2014
|
A. A. Boitsev
I. Yu. Popov
O V Sokolov
|
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+
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Electron energy spectrum for a bent chain of nanospheres
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2014
|
D.A. Eremin
Dmitry Ivanov
I. Yu. Popov
|
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+
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Numerical approach to the Stokes problem with high contrasts in viscosity
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2014
|
I. S. Lobanov
I. Yu. Popov
Антон Юрьевич Попов
Taras Gerya
|
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+
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Point contacts and boundary triples
|
2014
|
Vladimir Lotoreichik
Hagen Neidhardt
I. Yu. Popov
|
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+
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On the existence of point spectrum for branching strips quantum graph
|
2014
|
I. Yu. Popov
A. N. Skorynina
I.V. Blinova
|
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+
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Point contacts and boundary triples
|
2014
|
Vladimir Lotoreichik
Hagen Neidhardt
I. Yu. Popov
|
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+
PDF
Chat
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Model of Point-Like Window for Electromagnetic Helmholtz Resonator
|
2013
|
I. Yu. Popov
|
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+
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Spectral problem for branching chain quantum graph
|
2013
|
I. Yu. Popov
Petr Smirnov
|
|
+
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Hartree-Fock approximation for the problem of particle storage in deformed nanolayer
|
2013
|
Ivan Melikhov
I. Yu. Popov
|
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+
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Model of tunnelling through periodic array of quantum dots in a magnetic field
|
2012
|
I. Yu. Popov
S. A. Osipov
|
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+
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Two interacting particles in deformed nanolayer: discrete spectrum and particle storage
|
2012
|
С. И. Попов
Maxim Gavrilov
I. Yu. Popov
|
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+
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Operator extensions theory model for electromagnetic field–electron interaction
|
2012
|
I. Yu. Popov
|
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+
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Localized two-particle states in deformed nanolayers
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2012
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С. И. Попов
Maxim Gavrilov
I. Yu. Popov
|
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+
PDF
Chat
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Regular Potential Approximation for $\delta$-Perturbation Supported by Curve of the Laplace-Beltrami Operator on the Sphere
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2012
|
D.A. Eremin
Дмитрий Александрович Иванов
I. Yu. Popov
|
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+
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A remark on Schatten–von Neumann properties of resolvent differences of generalized Robin Laplacians on bounded domains
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2010
|
Jussi Behrndt
Matthias Langer
I. S. Lobanov
Vladimir Lotoreichik
I. Yu. Popov
|
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+
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Lower bound on the spectrum of the two-dimensional Schrödinger operator with a δ-perturbation on a curve
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2010
|
I. S. Lobanov
Vladimir Lotoreichik
I. Yu. Popov
|
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+
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A remark on Schatten-von Neumann properties of resolvent differences of generalized Robin Laplacians on bounded domains
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2009
|
Jussi Behrndt
Matthias Langer
I. S. Lobanov
Vladimir Lotoreichik
I. Yu. Popov
|
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+
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Asymptotics of resonances for curved coupled waveguides
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2009
|
Ekaterina Trifanova
I. Yu. Popov
|
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+
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Counting eigenvalues of Schrödinger operator with δ-potential supported by loop
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2009
|
Vladimir Lotoreichik
I. S. Lobanov
I. Yu. Popov
Jussi Behrndt
|
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+
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Lower bound on the spectrum of the Schrödinger operator in the plane with delta-potential supported by a curve
|
2009
|
I. S. Lobanov
Vladimir Lotoreichik
I. Yu. Popov
|
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+
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Approximation of a point perturbation on a Riemannian manifold
|
2009
|
V. A. Geyler
Д. А. Иванов
I. Yu. Popov
|
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+
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A remark on Schatten-von Neumann properties of resolvent differences of generalized Robin Laplacians on bounded domains
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2009
|
Jussi Behrndt
Matthias Langer
I. S. Lobanov
Vladimir Lotoreichik
I. Yu. Popov
|
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+
PDF
Chat
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Two particle scattering on pencil of rays
|
2008
|
I. S. Lobanov
I. Yu. Popov
|
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+
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Quantum graph of Sierpinski gasket type: Computational experiment
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2007
|
I.V. Blinova
I. Yu. Popov
Mark Moiseevich Sandler
|
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+
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Vladimir A. Geyler
|
2007
|
Sergio Albeverio
J. Brüning
S. Yu. Dobrokhotov
Pavel Exner
V. Koshmanenko
Konstantin Pankrashkin
B. S. Pavlov
I. Yu. Popov
P. Šťovı́ček
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+
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Wave scattering in layers with rigid boundaries and lateral coupling through small windows
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2007
|
L.V. Gortinskaya
I. Yu. Popov
|
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+
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Electron in a multilayered magnetic structure: resonance asymptotics
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2006
|
I. Yu. Popov
E.S. Tesovskaya
|
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+
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The extension theory and diffraction problems
|
2005
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I. Yu. Popov
|
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+
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Violation of Symmetry in the System of Three Laterally Coupled Quantum Waveguides, and Resonance Asymptotics
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2005
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I. Yu. Popov
С. В. Фролов
|
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+
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Spectral asymptotics for layered magnetic structures
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2005
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L.V. Gortinskaya
I. Yu. Popov
E.S. Tesovskaya
|
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+
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Three laterally coupled quantum waveguides: breaking of symmetry and resonance asymptotics
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2003
|
I. Yu. Popov
С. В. Фролов
|
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+
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"Bottom crystal" and possibility of water wave attenuation
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2003
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I. Yu. Popov
|
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+
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Asymptotics of Bound States, Bands and Resonances for Waveguides and Layers Coupled Through Small Windows
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2003
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I. Yu. Popov
|
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+
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Laterally coupled waveguides with Neumann boundary condition: formal asymptotic expansions
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2003
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L.V. Gortinskaya
I. Yu. Popov
E.S. Tesovskaya
|
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+
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Quantum waveguides laterally coupled by a periodic system of small windows: Bandgap evaluation
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2002
|
Ольга Петрівна Мельничук
I. Yu. Popov
|
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+
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Scattering on a Compact Domain with Few Semi-Infinite Wires Attached: Resonance Case
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2002
|
A. Mikhailova
B. S. Pavlov
I. Yu. Popov
T. V. Rudakova
A. M. Yafyasov
|
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+
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Asymptotics of bound states and bands for laterally coupled waveguides and layers
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2002
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I. Yu. Popov
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+
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None
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2002
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I. Yu. Popov
|
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+
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Asymptotics of bound states and bands for laterally coupled three-dimensional waveguides
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2001
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I. Yu. Popov
|
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+
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The lower-boundary asymptotics of continuous spectrum for quantum layers laterally coupled by a periodic system of small windows
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2001
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I. Yu. Popov
|
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+
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Asymptotics of bound states and bands for waveguides coupled through small windows
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2001
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I. Yu. Popov
|
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+
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Resonances for laterally coupled quantum waveguides
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2000
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С. В. Фролов
I. Yu. Popov
|
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+
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Asymptotics of resonances and bound states for laterally coupled curved quantum waveguides
|
2000
|
I. Yu. Popov
|
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+
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Asymptotic behavior of the resonance for two-dimensional waveguides coupled via a hole
|
2000
|
I. Yu. Popov
С. В. Фролов
|
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+
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Fractal spectrum of periodic quantum systems in a magnetic field
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2000
|
V. A. Geyler
I. Yu. Popov
A. V. Popov
A.A. Ovechkina
|
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+
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Asymptotics of bound state for laterally coupled waveguides
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1999
|
I. Yu. Popov
|
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+
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Two physical applications of the Laplace operator perturbed on a null set
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1999
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D. A. Zubok
I. Yu. Popov
|
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+
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Short-range potential and a model of operator extension theory for resonators with semitransparent boundary
|
1999
|
I. Yu. Popov
|
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+
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Localization in a system of bound Aaronov-Bohm rings
|
1999
|
I. Yu. Popov
V. A. Geǐler
A. V. Popov
|
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+
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Model of scattering by a perturbed thin cylinder
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1999
|
D. A. Zubok
I. Yu. Popov
|
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+
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Waveguides coupled via apertures: Asymptotic form of the eigenvalue
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1999
|
I. Yu. Popov
|
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+
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On a hyperstokeslet
|
1998
|
I. Yu. Popov
|
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+
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Solvable model of a double quantum electron layer in a magnetic field
|
1998
|
V. A. Geyler
I. Yu. Popov
|
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+
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On the point and continuous spectra for coupled quantum waveguides and resonators
|
1997
|
I. Yu. Popov
|
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+
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Eigenvalues imbedded in the band spectrum for a periodic array of quantum dots
|
1997
|
V. A. Geyler
I. Yu. Popov
|
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+
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Operator extension theory models for periodic array of quantum dots and double quantum layer in a magnetic field
|
1996
|
I. Yu. Popov
|
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+
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Eigenvalues and bands imbedded in the continuous spectrum for a system of resonators and a waveguide: solvable model
|
1996
|
I. Yu. Popov
S. L. Popova
|
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+
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Spectral properties of a charged particle in antidot array: A limiting case of quantum billiard
|
1996
|
V. A. Geyler
B. S. Pavlov
I. Yu. Popov
|
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+
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Eigenvalues in the continuous spectrum for a waveguide-cavity system: explicitly solvable model
|
1996
|
I. Yu. Popov
S. L. Popova
|
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+
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Hydrotron: Creep and slip
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1996
|
Yu V Gugel
I. Yu. Popov
S. L. Popova
|
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+
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Flows in two-dimensional non-autonomous phases in polycrystalline systems
|
1996
|
В. В. Гусаров
I. Yu. Popov
|
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+
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Solvable model for the transmission of sound through a screen with narrow slit in the presence of a low-Mach-number bias flow
|
1996
|
I. Yu. Popov
|
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+
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Periodic array of quantum dots in a magnetic field: Irrational flux; honeycomb lattice
|
1995
|
V. A. Geyler
I. Yu. Popov
|
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+
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Indefinite metric and scattering by a domain with a small hole
|
1995
|
Alexander Kiselev
I. Yu. Popov
|
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+
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The operator extension theory, semitransparent surface and short range potential
|
1995
|
I. Yu. Popov
|
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+
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Hydrodynamic stability and perturbation of the Schr�dinger operator
|
1995
|
I. Yu. Popov
|
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+
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Dynamic structure formation during high-temperature deformation of polycrystalline oxides
|
1995
|
В. В. Гусаров
I. Yu. Popov
|
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+
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Stratified flow in an electric field, the Schrödinger equation, and the operator extension theory model
|
1995
|
I. Yu. Popov
|
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+
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The spectrum of a magneto-Bloch electron in a periodic array of quantum dots: Explicitly solvable model
|
1994
|
V. A. Geyler
I. Yu. Popov
|
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+
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Model of a quantum point as a cavity with semitransparent boundary
|
1994
|
I. Yu. Popov
|
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+
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Operator extensions theory and eddies in creeping flow
|
1993
|
I. Yu. Popov
|
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+
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THE HELMHOLTZ RESONATOR AND THE THEORY OF OPERATOR EXTENSIONS IN A SPACE WITH INDEFINITE METRIC
|
1993
|
I. Yu. Popov
|
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+
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EXTENSION THEORY AND LOCALIZATION OF RESONANCES FOR DOMAINS OF TRAP TYPE
|
1992
|
I. Yu. Popov
|
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+
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A model of zero width slits for an orifice in a semitransparent boundary
|
1992
|
I. Yu. Popov
|
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+
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Higher moments in a model of zero-width slits
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1991
|
Alexander Kiselev
I. Yu. Popov
|
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+
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Zero-width slit and the Dirichlet condition
|
1987
|
I. Yu. Popov
|