I. Popov

发表

EXTENSION THEORY AND LOCALIZATION OF RESONANCES FOR DOMAINS OF TRAP TYPE

I. Popov, 1992 .

The discrete spectrum of the multiparticle Hamiltonian in the framework of the Hartree-Fock approximation

I. Popov, I. Melikhov, 2014 .

Simulation of detection and scattering of sound waves by the lateral line of a fish

I. Popov, V. Adamyan, I. Blinova, 2020, Chinese Physics B.

Resonance state completeness problem for quantum graph

I. Popov, A. Popov, D. A. Gerasimov, 2017 .

Periodic chain of resonators: gap control and geometry of the system

A. S. Melikhova, I. Popov, I. Blinova, 2016 .

Model of quantum dot and resonant states for the Helmholtz resonator

I. Popov, A. Vorobiev, 2015 .

Chain of point-like potentials in ℛ3 and infiniteness of the number of bound states

O. V. Sokolov, I. Popov, A. Boitsev, 2014 .

On the Spectrum Discreteness for the Magnetic Schrödinger Operator on Quantum Graphs

I. Popov, A. G. Belolipetskaia, 2021 .

A time-dependent metric graph with a fourth-order operator on the edges

I. Popov, I. Blinova, A.S. Gnedash, 2021, Theoretical and Applied Mechanics.

On Quantitative Determination of the Degree of Independence of Qubit Transformation by a Quantum Gate or Channel

I. Popov, I. Zezula, M. Faleeva, 2018 .

The electron transmission properties in a non-planar system of two chained rings

I. Popov, I. Blinova, M. O. Smolkina, 2021, Journal of Physics: Conference Series.

Periodic chain of disks in a magnetic field: bulk states and edge states

I. Popov, D. Ivanov, E. Grishanov, 2015 .

Practical analytical solutions for benchmarking of 2-D and 3-D geodynamic Stokes problems with variable viscosity

I. Popov, T. Gerya, A. Popov, 2013 .

Two particle scattering on pencil of rays

I. Popov, I. Lobanov, 2008 .

Resonances in Two-Dimensional Quantum Waveguides Separated by a Semitransparent Barrier with a Small Window

I. Popov, A. M. Vorobiev, 2021, Technical Physics Letters.

ON THE POSSIBILITY OF USING OPTICAL Y-SPLITTER IN QUANTUM RANDOM NUMBER GENERATION SYSTEMS BASED ON FLUCTUATIONS OF VACUUM

A. E. Ivanova, I. Popov, A. Gleim, 2015 .

Metric graph version of the FitzHugh–Nagumo model

I. Popov, A. Popov, E. Fedorov, 2019, Nanosystems: Physics, Chemistry, Mathematics.

Window-coupled nanolayers: window shape influence on one-particle and two-particle eigenstates

I. Popov, A. S. Bagmutov, 2020, Nanosystems: Physics, Chemistry, Mathematics.

Two-scale model of hydrothermal synthesis of nanotubes

S. Chivilikhin, I. Popov, V. Gusarov, 2014 .

Formation and evolution of nanoscroll ensembles based on layered-structure compounds

A. Svitenkov, S. Chivilikhin, I. Popov, 2009 .

Charge pumping in nanotube filled with electrolyte

S. Chivilikhin, I. Popov, V. Gusarov, 2018, Chinese Journal of Physics.

Multi-qubit teleportation algorithm and teleportation manager

I. Popov, I. Blinova, I. Yu. Popov, 2011 .

Scattering of elastic waves by point-like obstacle in two-dimensional case

H. Neidhardt, I. Popov, I. Blinova, 2019, CENTRAL EUROPEAN SYMPOSIUM ON THERMOPHYSICS 2019 (CEST).

Spectral analysis of the Dirac operator on Y-type chain quantum graph

I. Popov, I. Blinova, Angelika Finyutina, 2019, CENTRAL EUROPEAN SYMPOSIUM ON THERMOPHYSICS 2019 (CEST).

On the spectrum of the Dirac operator for bent periodic chain of spheres connected through 1D wires

A. S. Melikhova, I. Popov, 2017, 2017 Days on Diffraction (DD).

Waveguide modes and adhesion conditions for flow in a nanochannel

S. Chivilikhin, I. Popov, V. Gusarov, 2010 .

Nanocones rolling in hydro-thermal medium and flows in conical domains

I. Popov, I. Blinova, K. N. Kyzyurova, 2010 .

Point-like perturbation for Lamé operator

H. Neidhardt, I. Popov, I. Blinova, 2020, Complex Variables and Elliptic Equations.

Operator extensions theory model for electromagnetic field–electron interaction

I. Popov, 2012 .

The effect of Rashba spin-orbit interaction on persistent current in a chain of two Holstein-Hubbard rings

I. Popov, A. Chatterjee, M. O. Smolkina, 2019, Journal of Physics: Conference Series.

Model of tunnelling through quantum dot and spin–orbit interaction

I. Popov, A. Boitsev, E. Grishanov, 2019, Pramana.

A model of a boundary composed of the Helmholtz resonators

I. Popov, I. Blinova, A. Popov, 2020 .

Violation of Symmetry in the System of Three Laterally Coupled Quantum Waveguides, and Resonance Asymptotics

I. Popov, S. Frolov, 2005 .

Three laterally coupled quantum waveguides: breaking of symmetry and resonance asymptotics

I. Popov, S. Frolov, 2003 .

Asymptotics of Bound States, Bands and Resonances for Waveguides and Layers Coupled Through Small Windows

I. Popov, 2003 .

Quantum waveguides laterally coupled by a periodic system of small windows: Bandgap evaluation

I. Popov, O. P. Mel’nichuk, 2002 .

Waveguides coupled via apertures: Asymptotic form of the eigenvalue

I. Popov, 1999 .

Asymptotics of bound state for laterally coupled waveguides

I. Popov, 1999 .

Bound state for dielectric waveguide with high contrast inset in the core

I. Popov, M. Faleeva, 2017 .

Bound state for dielectric waveguide with locally perturbed core

I. Popov, M. Faleeva, 2016, 2016 Days on Diffraction (DD).

Spectral problem for branching chain quantum graph

I. Popov, P. I. Smirnov, 2013 .

Asymptotics of resonances for curved coupled waveguides

I. Popov, E. Trifanova, 2009, Proceedings of the International Conference Days on Diffraction 2009.

The lower-boundary asymptotics of continuous spectrum for quantum layers laterally coupled by a periodic system of small windows

I. Popov, 2001 .

Resonances for laterally coupled quantum waveguides

I. Popov, S. Frolov, 2000 .

Classical and quantum wave dynamics on time-dependent geometric graph

I. Popov, D. S. Nikiforov, 2018 .

System completeness of resonance states for graphs with different geometry

I. Popov, I. Blinova, Yana M. Van-Yun-Syan, 2019, Scientific and Technical Journal of Information Technologies, Mechanics and Optics.

Resonant tunneling in zero-dimensional systems: Explicitly solvable model

I. Popov, V. Geyler, 1994 .

Stokes flow driven by a Stokeslet in a cone

I. Popov, I. Blinova, Ksenia N. Kyz’yurova, 2014, Acta Mechanica.

WEYL FUNCTION FOR SUM OF OPERATORS TENSOR PRODUCTS

H. Neidhardt, I. Popov, A. Boitsev, 2013 .

Spectral properties of a charged particle in antidot array: A limiting case of quantum billiard

I. Popov, B. Pavlov, V. Geyler, 1996 .

Benchmark solutions for two-component flows in microchannels

I. Popov, I. V. Makeev, R. Abiev, 2019, CENTRAL EUROPEAN SYMPOSIUM ON THERMOPHYSICS 2019 (CEST).

“Almost quasistationary” approximation for the problem of solidification front stability

I. Popov, V. Gusarov, I. Blinova, 2009 .

On the metric graph model for flows in tubular nanostructures

I. Popov, I. Blinova, M. O. Smolkina, 2019, Nanosystems: Physics, Chemistry, Mathematics.

Quantum switch based on coupled waveguides

I. Popov, B. Pavlov, S. Frolov, 2001 .

Asymptotics of bound states and bands for waveguides coupled through small windows

Igor Yu. Popov, I. Popov, 2001, Appl. Math. Lett..

Resonance asymptotics for a pair quantum waveguides with common semitransparent perforated wall

I. Popov, A. Vorobiev, E. Trifanova, 2020, Nanosystems: Physics, Chemistry, Mathematics.

Stokes flow driven by a Stokeslet in a cone

I. Popov, I. Blinova, Ksenia N. Kyz’yurova, 2014 .

Dynamics of nanotube twisting in a viscous fluid

S. Chivilikhin, I. Popov, V. Gusarov, 2007 .

Simulation of the formation of nanorolls

A. S. Konovalov, S. Chivilikhin, I. Popov, 2007 .

Algorithm of molecular computing on the base of membranes

Dmitri S. Nikiforov, I Yu Popov, I. Popov, 2014 .

Boundary Triplets, Tensor Products and Point Contacts to Reservoirs

H. Neidhardt, I. Popov, A. Boitsev, 2017, Annales Henri Poincaré.

Modelling of nanobubbles at the liquid-solid interface in water and oil

S. Chivilikhin, I. Popov, I. V. Vorontsov, 2021, Meccanica.

A model of a quantum waveguide multiplexer

I. Popov, A. Vorobiev, Tatiana S. Yurova, 2020, Physics of Complex Systems.

Ballistic transport in nanostructures: Explicity solvable models

I. Popov, V. Geiler, 1996 .

Regular Potential Approximation for $\delta$-Perturbation Supported by Curve of the Laplace-Beltrami Operator on the Sphere

I. Popov, D. Ivanov, D. A. Eremin, 2012 .

Hydrodynamic stability and perturbation of the Schrödinger operator

I. Popov, 1995 .

Photonic crystal with negative index material layers

I. Popov, K. Pravdin, 2014 .

Transmission coefficient for ballistic transport through quantum resonator

I. Popov, V. Geyler, S. L. Popova, 1997 .

Indefinite metric and scattering by a domain with a small hole

A. Kiselev, I. Popov, 1995 .

Flow on the surface of sloped rotating cylinder

S. Chivilikhin, I. Popov, I. Melikhov, 2020, Zeitschrift für angewandte Mathematik und Physik.

Liquid flow in nanotubes

S. Chivilikhin, I. Popov, V. Gusarov, 2012 .

Statistical derivation of modified hydrodynamic equations for nanotube flows

I. Popov, 2011 .

Model of fluid flow in nanotube: classical and quantum features

S. Chivilikhin, I. Popov, V. Gusarov, 2010 .

On the possibility of magnetoresistance governed by light

I. Popov, 2013 .

ON THE POSSIBILITY OF MAGNETORESISTANCE

I. Popov, 2013 .

On the electron transmission control by a direction of magnetic field

I. Popov, I. Blinova, M. O. Smolkina, 2021, International Journal of Numerical Modelling: Electronic Networks, Devices and Fields.

Wave dynamics on timedepending graph with Aharonov–Bohm ring

I. Popov, E. Grishanov, D. A. Eremin, 2018, Nanosystems: Physics, Chemistry, Mathematics.

Photon generation in resonator with time dependent boundary conditions

I. Popov, I. Lobanov, A. Trifanov, 2021, Nanosystems: Physics, Chemistry, Mathematics.

Soliton-induced flow in carbon nanotubes

S. Chivilikhin, I. Popov, V. Gusarov, 2013 .

Steady Stokes flow between confocal semi-ellipses

I. Popov, I. V. Makeev, 2016 .

Soliton in a nanotube wall and stokes flow in the nanotube

S. Chivilikhin, I. Popov, V. Gusarov, 2010 .

Operator extensions theory and eddies in creeping flow

I. Popov, 1993 .

Stokeslet and the Operator Extensions Theory

I. Popov, 1996 .

A benchmark solution for 2D Stokes flow over cavity

I. Popov, I. V. Makeev, 2014 .

Flows in two-dimensional non-autonomous phases in polycrystalline systems

I. Popov, V. Gusarov, 1996 .

Discrete spectrum for quantum graph with local disturbance of the periodicity

I. Popov, I. Blinova, A. Popov, 2015 .

Electron energy spectrum for a bent chain of nanospheres

I. Popov, D. Ivanov, D. A. Eremin, 2014 .

Possible construction of a quantum multiplexer

I. Popov, B. Pavlov, V. Geyler, 2000 .

The spectrum of a magneto-Bloch electron in a periodic array of quantum dots: Explicitly solvable model

I. Popov, V. Geyler, 1994 .

Model of Point-Like Window for Electromagnetic Helmholtz Resonator

I. Popov, 2013 .

On Quantitative Determination of the Degree of Independence of Qubit Transformation by a Quantum Gate or Channel

I. Popov, M. Faleeva, I. Žežula, 2018, Optics and Spectroscopy.

Multi-Particle Bound States in Window-Coupled 2D Quantum Waveguides

I. Popov, I. Melikhov, 2015 .

Bound electron states in a system of coupled quantum waveguides in a transverse electric field

I. Popov, D. Matveev, 2009 .

Band structure of one-dimensional photonic crystal containing two negative index materials

I. Popov, K. Pravdin, 2016 .

Layered system with metamaterials

I. Popov, K. Pravdin, 2015 .

On the discrete spectrum of the Dirac operator on bent chain quantum graph

I. Popov, I. Blinova, M. Belov, 2017 .

Spectral problem for solvable model of bent nano peapod

A. S. Melikhova, I. Popov, 2017 .

Short-range potential and a model of operator extension theory for resonators with semitransparent boundary

I. Popov, 1999 .

The operator extension theory, semitransparent surface and short range potential

I. Popov, 1995, Mathematical Proceedings of the Cambridge Philosophical Society.

On Molchanov's Condition for the Spectrum Discreteness of a Quantum Graph Hamiltonian with δ-Coupling

I. Popov, M. Kovaleva, 2015 .

Quantum graph of Sierpinski gasket type: Computational experiment

I. Popov, I. Blinova, M. Sandler, 2007 .

Approximation of a point perturbation on a Riemannian manifold

D. Ivanov, I. Popov, V. Geyler, 2009 .

A remark on Schatten-von Neumann properties of resolvent differences of generalized Robin Laplacians on bounded domains

M. Langer, I. Popov, J. Behrndt, 2009, 0911.2443.

Incompleteness of resonance states for quantum ring with two semi-infinite edges

I. Popov, I. Blinova, A. Popov, 2019 .

Completeness of resonance states for quantum graph with two semi-infinite edges

I. Popov, D. Gerasimov, 2018 .

Resonance states completeness for relativistic particle on a sphere with two semi-infinite lines attached

I. Popov, I. Blinova, A. Popov, 2020 .

A model of electron transport through a boson cavity

H. Neidhardt, I. Popov, A. Boitsev, 2018 .

Three qubit operation in the five level optical medium

I. Popov, G. Miroshnichenko, A. Trifanov, 2009, Proceedings of the International Conference Days on Diffraction 2009.

Coupled dielectric waveguides with photonic crystal properties

I. Popov, A. Trifanov, E. Trifanova, 2010 .

Possible implementation of CNOT and CCNOT gates

I. Popov, G. Miroshnichenko, A. Trifanov, 2009 .

Fractal spectrum of periodic quantum systems in a magnetic field

A. V. Popov, I. Popov, V. Geyler, 2000 .

Solvable model for the transmission of sound through a screen with narrow slit in the presence of a low-Mach-number bias flow

I. Popov, 1996 .

Stratified flow in an electric field, the Schrödinger equation, and the operator extension theory model

I. Popov, 1995 .

Asymptotics of resonances and bound states for laterally coupled curved quantum waveguides

I. Popov, 2000 .

Asymptotics of bound states and bands for laterally coupled waveguides and layers

I. Popov, 2002 .

Hartree-Fock approximation for the problem of particle storage in deformed nanolayer

I. Popov, I. Melikhov, 2013 .