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Popov Igor Yurievich

Publications in Math-Net.Ru

  1. Influence of quantum graph parameters on the asymptotics of the number of resonances

    Chelyab. Fiz.-Mat. Zh., 9:4 (2024),  682–688
  2. Barrier composed of perforated resonators and boundary conditions

    Eurasian Math. J., 15:3 (2024),  68–76
  3. Boundary composed of small Helmholtz resonators: asymptotic approach

    Nanosystems: Physics, Chemistry, Mathematics, 15:6 (2024),  736–741
  4. Quantum graph as a benchmark for persistent current

    Nanosystems: Physics, Chemistry, Mathematics, 15:4 (2024),  469–472
  5. Mathematical model of weakly coupled spherical resonator chains under the influence of external magnetic field

    Nanosystems: Physics, Chemistry, Mathematics, 15:2 (2024),  155–159
  6. Asymptotic expansions of resonances for waveguides coupled through converging windows

    Chelyab. Fiz.-Mat. Zh., 8:1 (2023),  72–82
  7. Resonances for a solvable model of ultrasound scattering by a cell membrane

    Pis'ma v Zh. Èksper. Teoret. Fiz., 118:2 (2023),  135–140
  8. A model of charged particle on the flat Möbius strip in a magnetic field

    Nanosystems: Physics, Chemistry, Mathematics, 14:4 (2023),  418–420
  9. On spin flip for electron scattering by several delta-potentials for 1D Hamiltonian with spin-orbit interaction

    Nanosystems: Physics, Chemistry, Mathematics, 14:4 (2023),  413–417
  10. On Keller–Rubinow model for Liesegang structure formation

    Nanosystems: Physics, Chemistry, Mathematics, 13:4 (2022),  365–371
  11. On the discrete spectrum of a quantum waveguide with Neumann windows in presence of exterior field

    Nanosystems: Physics, Chemistry, Mathematics, 13:2 (2022),  156–163
  12. Modeling the evolution of surface nanobubbles

    Nanosystems: Physics, Chemistry, Mathematics, 12:5 (2021),  603–611
  13. Dirac operator with different potentials on edges of quantum graph: resonance asymptotics

    Nanosystems: Physics, Chemistry, Mathematics, 12:4 (2021),  425–429
  14. On the choice of parameters for a model of small window

    Nanosystems: Physics, Chemistry, Mathematics, 12:2 (2021),  151–155
  15. Photon generation in resonator with time dependent boundary conditions

    Nanosystems: Physics, Chemistry, Mathematics, 12:1 (2021),  73–80
  16. Simulation of switchers for CNOT-gates based on optical waveguide interaction with coupled mode theory

    Zhurnal SVMO, 23:4 (2021),  433–443
  17. A time-dependent metric graph with a fourth-order operator on the edges

    Theor. Appl. Mech., 48:2 (2021),  187–200
  18. On quantum bit coding by Gaussian beam modes for the quantum key distribution

    Nanosystems: Physics, Chemistry, Mathematics, 11:6 (2020),  651–658
  19. Window-coupled nanolayers: window shape influence on one-particle and two-particle eigenstates

    Nanosystems: Physics, Chemistry, Mathematics, 11:6 (2020),  636–641
  20. Resonance asymptotics for a pair quantum waveguides with common semitransparent perforated wall

    Nanosystems: Physics, Chemistry, Mathematics, 11:6 (2020),  619–627
  21. Modelling of surface water waves concentrated near moving points

    Zap. Nauchn. Sem. POMI, 493 (2020),  29–39
  22. Metric graph version of the FitzHugh–Nagumo model

    Nanosystems: Physics, Chemistry, Mathematics, 10:6 (2019),  623–626
  23. Quantum image transmission based on linear elements

    Nanosystems: Physics, Chemistry, Mathematics, 10:4 (2019),  410–414
  24. A model of an electron in a quantum graph interacting with a two-level system

    Nanosystems: Physics, Chemistry, Mathematics, 10:2 (2019),  131–140
  25. Persistent current in a chain of two Holstein-Hubbard rings in the presence of Rashba spin-orbit interaction

    Nanosystems: Physics, Chemistry, Mathematics, 10:1 (2019),  50–62
  26. On the metric graph model for flows in tubular nanostructures

    Nanosystems: Physics, Chemistry, Mathematics, 10:1 (2019),  6–11
  27. Wave dynamics on time-depending graph with Aharonov–Bohm ring

    Nanosystems: Physics, Chemistry, Mathematics, 9:4 (2018),  457–463
  28. Asymptotic analysis of thin viscous plate model

    Nanosystems: Physics, Chemistry, Mathematics, 9:4 (2018),  447–456
  29. A model of electron transport through a boson cavity

    Nanosystems: Physics, Chemistry, Mathematics, 9:2 (2018),  171–178
  30. On quantitative determination of the degree of independence of qubit transformation by a quantum gate or channel

    Optics and Spectroscopy, 124:5 (2018),  686–690
  31. Variational model of scoliosis

    Theor. Appl. Mech., 45:2 (2018),  167–175
  32. Time dependent quantum graph with loop

    Nanosystems: Physics, Chemistry, Mathematics, 8:4 (2017),  420–425
  33. Model of tunnelling through double quantum layer in a magnetic field

    Nanosystems: Physics, Chemistry, Mathematics, 8:2 (2017),  194–201
  34. Computer simulation of periodic nanostructures

    Nanosystems: Physics, Chemistry, Mathematics, 7:5 (2016),  865–868
  35. A distinguished mathematical physicist Boris S. Pavlov

    Nanosystems: Physics, Chemistry, Mathematics, 7:5 (2016),  782–788
  36. Dirac operator coupled to bosons

    Nanosystems: Physics, Chemistry, Mathematics, 7:2 (2016),  332–339
  37. Steady Stokes flow between confocal semi-ellipses

    Nanosystems: Physics, Chemistry, Mathematics, 7:2 (2016),  324–331
  38. Analytical benchmark solutions for nanotube flows with variable viscosity

    Nanosystems: Physics, Chemistry, Mathematics, 6:5 (2015),  672–679
  39. Periodic chain of disks in a magnetic field: bulk states and edge states

    Nanosystems: Physics, Chemistry, Mathematics, 6:5 (2015),  637–643
  40. Waveguide bands for a system of macromolecules

    Nanosystems: Physics, Chemistry, Mathematics, 6:5 (2015),  611–617
  41. On the Stokes flow computation algorithm based on woodbury formula

    Nanosystems: Physics, Chemistry, Mathematics, 6:1 (2015),  140–145
  42. On the possibility of using optical Y-splitter in quantum random number generation systems based on fluctuations of vacuum

    Nanosystems: Physics, Chemistry, Mathematics, 6:1 (2015),  95–99
  43. Photonic crystal with negative index material layers

    Nanosystems: Physics, Chemistry, Mathematics, 5:5 (2014),  626–643
  44. Crystallite model for flow in nanotube caused by wall soliton

    Nanosystems: Physics, Chemistry, Mathematics, 5:3 (2014),  400–404
  45. Benchmark solutions for nanoflows

    Nanosystems: Physics, Chemistry, Mathematics, 5:3 (2014),  391–399
  46. On the possibility of magnetoresistance governed by light

    Nanosystems: Physics, Chemistry, Mathematics, 4:6 (2013),  795–799
  47. Weyl function for sum of operators tensor products

    Nanosystems: Physics, Chemistry, Mathematics, 4:6 (2013),  747–759
  48. Model of the interaction of point source electromagnetic fields with metamaterials

    Nanosystems: Physics, Chemistry, Mathematics, 4:4 (2013),  570–576
  49. Hartree-fock approximation for the problem of particle storage in deformed nanolayer

    Nanosystems: Physics, Chemistry, Mathematics, 4:4 (2013),  559–563
  50. Hamiltonian with zero-range potentials having infinite number of eigenvalues

    Nanosystems: Physics, Chemistry, Mathematics, 3:4 (2012),  9–19
  51. Variational estimations of the eigenvalues for 3D quantum waveguides in a transverse electric field

    Nanosystems: Physics, Chemistry, Mathematics, 3:3 (2012),  6–22
  52. Scattering by a junction of “zig-zag” and “armchair” nanoutubes

    Nanosystems: Physics, Chemistry, Mathematics, 3:2 (2012),  6–28
  53. Flows in nanostructures: hybrid classical-quantum models

    Nanosystems: Physics, Chemistry, Mathematics, 3:1 (2012),  7–26
  54. Planar flows in nanoscale regions

    Nanosystems: Physics, Chemistry, Mathematics, 2:3 (2011),  49–52
  55. Quantum ring with wire: a model of two-particles problem

    Nanosystems: Physics, Chemistry, Mathematics, 2:2 (2011),  15–31
  56. Soliton in a nanotube wall and Stokes flow in the nanotube

    Pisma v Zhurnal Tekhnicheskoi Fiziki, 36:18 (2010),  48–54
  57. Lower bound on the spectrum of the two-dimensional Schrödinger operator with a $\delta$-perturbation on a curve

    TMF, 162:3 (2010),  397–407
  58. Coupled dielectric waveguides with photonic crystal properties

    Zh. Vychisl. Mat. Mat. Fiz., 50:11 (2010),  1931–1937
  59. Approximation of a point perturbation on a Riemannian manifold

    TMF, 158:1 (2009),  49–57
  60. Electron in a multilayered magnetic structure: resonance asymptotics

    TMF, 146:3 (2006),  429–442
  61. Violation of symmetry in the system of three laterally coupled quantum waveguides and resonance asymptotics

    Zap. Nauchn. Sem. POMI, 300 (2003),  221–227
  62. Asymptotic Series for the Spectrum of the Schrödinger Operator for Layers Coupled Through Small Windows

    TMF, 131:3 (2002),  407–418
  63. Short-range potential and a model of the theory of extensions of operators for a resonator with a semitransparent boundary

    Mat. Zametki, 65:5 (1999),  703–711
  64. Two physical applications of the Laplace operator perturbed on a null set

    TMF, 119:2 (1999),  295–307
  65. Parallel Stokes flow in a ring-like structure

    Zh. Vychisl. Mat. Mat. Fiz., 39:7 (1999),  1196–1204
  66. Ýâîëþöèÿ êâàçè÷àïëûãèíñêîé ñðåäû è âîçìóùåíèå îïåðàòîðà Ëàïëàñà íà ìíîæåñòâå íóëåâîé ìåðû

    Mat. Model., 9:10 (1997),  21
  67. Ballistic transport in nanostructures: explicitly solvable models

    TMF, 107:1 (1996),  12–20
  68. A model of creeping fluid motion in domains connected by a small opening

    Mat. Model., 7:5 (1995),  81
  69. Indefinite metric and scattering by a domain with a small hole

    Mat. Zametki, 58:6 (1995),  837–850
  70. Stratified flow in electric field, Schrödinger equation and operator extension theory model

    TMF, 103:2 (1995),  246–255
  71. On operator treatment of a Stokeslet

    Sibirsk. Mat. Zh., 35:5 (1994),  1148–1153
  72. The Helmholtz resonator and the theory of operator extensions in a space with indefinite metric

    Mat. Sb., 183:3 (1992),  3–37
  73. A model of zero width slits for an orifice in a semitransparent boundary

    Sibirsk. Mat. Zh., 33:5 (1992),  121–126
  74. Higher moments in a model of zero-width slits

    TMF, 89:1 (1991),  11–17
  75. Acoustic model of zero-width slits and hydrodynamic boundary layer stability

    TMF, 86:3 (1991),  391–401
  76. Integral equations in a model of apertures of zero width

    Algebra i Analiz, 2:5 (1990),  189–196
  77. Justification of a model of zero-width slits for the Neumann problem

    Dokl. Akad. Nauk SSSR, 313:4 (1990),  806–811
  78. Extension theory and localization of resonances for domains of trap type

    Mat. Sb., 181:10 (1990),  1366–1390
  79. Justification of the model of cracks of zero width for the Dirichlet problem

    Sibirsk. Mat. Zh., 30:3 (1989),  103–108
  80. A slit of zero width and the Dirichlet condition

    Dokl. Akad. Nauk SSSR, 294:2 (1987),  330–334
  81. Selection of parameters for a model of cracks of zero width

    Zh. Vychisl. Mat. Mat. Fiz., 27:3 (1987),  466–470

© Steklov Math. Inst. of RAS, 2026