Persons: Popov, Igor Yurievich

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Popov, Igor Yurievich

Statistics Math-Net.Ru
Total publications:	80
Scientific articles:	80
Presentations:	1

Number of views:
This page:	4667
Abstract pages:	16638
Full texts:	6362
References:	1465

Professor

Doctor of physico-mathematical sciences (1996)

Speciality:

01.01.03 (Mathematical physics)

Birth date:

24.01.1955

E-mail:

Keywords:

scattering theory, spectral theory, quantum theory, mathematical modelling, fluid mechanics.

Subject:

A new class of explicitly solvable model based on the operator extensions theory is constructed and investigated. It is applied to problems of acoustics, quantum physics, nanoelectronics, fluid mechanics and biophysics. Spectral and transport properties of some low-dimensional quantum systems (including the case of presense a magnetic field) was studied. Constructions of some nanoelectronic devices based on quantum interference were suggested. Asymptotics of bound states, bands and resonances close to the threshold for the Dirichlet Laplacian in waveguides and layers coupled through small windows was obtained.

Biography

Graduated from Physical Faculty of Leningrad State University (LSU) in 1978 (department of mathematical physics). Ph. D. thesis was defended in1984. D.;Sci. thesis was defended in;1996. A list of my works contains more than 250;titles. I am Editor-in-Chief of journal "Nanosystems: Physics, Chemistry, Mathematics".

Main publications:

Popov I. Yu. The resonator with narrow slit and the model based on the operator extensions theory // J. Math. Phys., 1992, 33(11), 3794–3801.
Geyler V. A., Pavlov B. S., Popov I. Yu. Spectral properties of a charged particle in antidot array: A limiting case of quantum billiard // J. Math. Phys., 1996, 37(10), 5171–5194.
Gugel Yu. V., Popov I. Yu., Popova S. L. Hydrotron: creep and slip // Fluid Dynam. Res., 1996, 18(4), 199–210.
Popov I. Yu. Asymptotics of bound states and bands for laterally coupled waveguides and layers // J. Math. Phys., 2002, 43(1), 215–234.

https://www.mathnet.ru/eng/person17692

List of publications on Google Scholar

https://mathscinet.ams.org/mathscinet/MRAuthorID/194767

https://elibrary.ru/author_items.asp?spin=1833-3772

https://orcid.org/0000-0002-5251-5327

https://www.webofscience.com/wos/author/record/A-7604-2014

https://www.scopus.com/authid/detail.url?authorId=56277722500

	Publications in Math-Net.Ru	Citations
	2024
1.	A. G. Belolipetskaia, I. Yu. Popov, “Influence of quantum graph parameters on the asymptotics of the number of resonances”, Chelyab. Fiz.-Mat. Zh., 9:4 (2024), 682–688
2.	I. Y. Popov, E. S. Trifanova, A. S. Bagmutov, I. V. Blinova, “Barrier composed of perforated resonators and boundary conditions”, Eurasian Math. J., 15:3 (2024), 68–76
3.	Igor Yu. Popov, Ekaterina S. Trifanova, Alexander S. Bagmutov, Alexander A. Lytaev, “Boundary composed of small Helmholtz resonators: asymptotic approach”, Nanosystems: Physics, Chemistry, Mathematics, 15:6 (2024), 736–741
4.	Igor Yu. Popov, Anton I. Popov, Pavel A. Gilev, Ashok Chatterjee, “Quantum graph as a benchmark for persistent current”, Nanosystems: Physics, Chemistry, Mathematics, 15:4 (2024), 469–472
5.	Alina S. Melikhova, Anton I. Popov, Irina V. Blinova, Igor Yu. Popov, “Mathematical model of weakly coupled spherical resonator chains under the influence of external magnetic field”, Nanosystems: Physics, Chemistry, Mathematics, 15:2 (2024), 155–159
	2023
6.	E. S. Trifanova, A. S. Bagmutov, V. G. Katasonov, I. Yu. Popov, “Asymptotic expansions of resonances for waveguides coupled through converging windows”, Chelyab. Fiz.-Mat. Zh., 8:1 (2023), 72–82	1
7.	I. Yu. Popov, T. S. Yurova, “Resonances for a solvable model of ultrasound scattering by a cell membrane”, Pis'ma v Zh. Èksper. Teoret. Fiz., 118:2 (2023), 135–140 ; JETP Letters, 118:2 (2023), 146–151	1
8.	Igor Y. Popov, “A model of charged particle on the flat Möbius strip in a magnetic field”, Nanosystems: Physics, Chemistry, Mathematics, 14:4 (2023), 418–420
9.	Irina V. Blinova, Evgeny N. Grishanov, Anton I. Popov, Igor Y. Popov, Maria O. Smolkina, “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	1
	2022
10.	Timur N. Topaev, Anton I. Popov, Igor Yu. Popov, “On Keller–Rubinow model for Liesegang structure formation”, Nanosystems: Physics, Chemistry, Mathematics, 13:4 (2022), 365–371
11.	A. S. Bagmutov, H. Najar, I. F. Melikhov, I. Y. Popov, “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	1
	2021
12.	I. A. Nesterenko, I. Yu. Popov, “Modeling the evolution of surface nanobubbles”, Nanosystems: Physics, Chemistry, Mathematics, 12:5 (2021), 603–611
13.	A. G. Belolipetskaia, I. Yu. Popov, “Dirac operator with different potentials on edges of quantum graph: resonance asymptotics”, Nanosystems: Physics, Chemistry, Mathematics, 12:4 (2021), 425–429
14.	A. S. Melikhova, M. P. Faleeva, I. Yu. Popov, “On the choice of parameters for a model of small window”, Nanosystems: Physics, Chemistry, Mathematics, 12:2 (2021), 151–155	3
15.	I. S. Lobanov, A. I. Trifanov, E. S. Trifanova, I. Y. Popov, E. Fedorov, K. V. Pravdin, M. A. Moskalenko, “Photon generation in resonator with time dependent boundary conditions”, Nanosystems: Physics, Chemistry, Mathematics, 12:1 (2021), 73–80	1
16.	A. A. Lytaev, I. Yu. Popov, “Simulation of switchers for CNOT-gates based on optical waveguide interaction with coupled mode theory”, Zhurnal SVMO, 23:4 (2021), 433–443
17.	I. V. Blinova, A. S. Gnedash, I. Y. Popov, “A time-dependent metric graph with a fourth-order operator on the edges”, Theor. Appl. Mech., 48:2 (2021), 187–200
	2020
18.	M. P. Faleeva, I. Y. Popov, “On quantum bit coding by Gaussian beam modes for the quantum key distribution”, Nanosystems: Physics, Chemistry, Mathematics, 11:6 (2020), 651–658	3
19.	A. S. Bagmutov, I. Y. Popov, “Window-coupled nanolayers: window shape influence on one-particle and two-particle eigenstates”, Nanosystems: Physics, Chemistry, Mathematics, 11:6 (2020), 636–641
20.	A. M. Vorobiev, E. S. Trifanova, I. Y. Popov, “Resonance asymptotics for a pair quantum waveguides with common semitransparent perforated wall”, Nanosystems: Physics, Chemistry, Mathematics, 11:6 (2020), 619–627	1
21.	A. E. Baranov, A. I. Popov, I. Yu. Popov, “Modelling of surface water waves concentrated near moving points”, Zap. Nauchn. Sem. POMI, 493 (2020), 29–39
	2019
22.	E. G. Fedorov, A. I. Popov, I. Y. Popov, “Metric graph version of the FitzHugh–Nagumo model”, Nanosystems: Physics, Chemistry, Mathematics, 10:6 (2019), 623–626	1
23.	P. A. Gilev, I. Yu. Popov, “Quantum image transmission based on linear elements”, Nanosystems: Physics, Chemistry, Mathematics, 10:4 (2019), 410–414	1
24.	A. A. Boitsev, I. Yu. Popov, “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.	A. Chatterjee, M. O. Smolkina, I. Y. Popov, “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	5
26.	M. O. Smolkina, I. Yu. Popov, I. V. Blinova, E. Milakis, “On the metric graph model for flows in tubular nanostructures”, Nanosystems: Physics, Chemistry, Mathematics, 10:1 (2019), 6–11	1
	2018
27.	D. A. Eremin, E. N. Grishanov, D. S. Nikiforov, I. Y. Popov, “Wave dynamics on time-depending graph with Aharonov–Bohm ring”, Nanosystems: Physics, Chemistry, Mathematics, 9:4 (2018), 457–463	2
28.	I. F. Melikhov, I. Yu. Popov, “Asymptotic analysis of thin viscous plate model”, Nanosystems: Physics, Chemistry, Mathematics, 9:4 (2018), 447–456	4
29.	A. A. Boitsev, J. Brasche, H. Neidhardt, I. Y. Popov, “A model of electron transport through a boson cavity”, Nanosystems: Physics, Chemistry, Mathematics, 9:2 (2018), 171–178	3
30.	M. P. Faleeva, I. Yu. Popov, I. Žežula, “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 ; Optics and Spectroscopy, 124:5 (2018), 720–725	3
31.	Igor Popov, Nikita Lisitsa, Yuri Baloshin, Mikhail Dudin, Stepan Bober, “Variational model of scoliosis”, Theor. Appl. Mech., 45:2 (2018), 167–175	1
	2017
32.	D. A. Eremin, E. N. Grishanov, O. G. Kostrov, D. S. Nikiforov, I. Yu. Popov, “Time dependent quantum graph with loop”, Nanosystems: Physics, Chemistry, Mathematics, 8:4 (2017), 420–425	2
33.	D. L. Meynster, I. Yu. Popov, A. I. Popov, “Model of tunnelling through double quantum layer in a magnetic field”, Nanosystems: Physics, Chemistry, Mathematics, 8:2 (2017), 194–201
	2016
34.	E. N. Grishanov, I. Yu. Popov, “Computer simulation of periodic nanostructures”, Nanosystems: Physics, Chemistry, Mathematics, 7:5 (2016), 865–868	1
35.	I. Yu. Popov, P. A. Kurasov, S. N. Naboko, A. A. Kiselev, A. E. Ryzhkov, A. M. Yafyasov, G. P. Miroshnichenko, Yu. E. Karpeshina, V. I. Kruglov, T. F. Pankratova, A. I. Popov, “A distinguished mathematical physicist Boris S. Pavlov”, Nanosystems: Physics, Chemistry, Mathematics, 7:5 (2016), 782–788	6
36.	A. A. Boitsev, H. Neidhardt, I. Yu. Popov, “Dirac operator coupled to bosons”, Nanosystems: Physics, Chemistry, Mathematics, 7:2 (2016), 332–339	1
37.	I. V. Makeev, I. Yu. Popov, “Steady Stokes flow between confocal semi-ellipses”, Nanosystems: Physics, Chemistry, Mathematics, 7:2 (2016), 324–331
	2015
38.	I. V. Makeev, I. V. Blinova, I. Yu. Popov, “Analytical benchmark solutions for nanotube flows with variable viscosity”, Nanosystems: Physics, Chemistry, Mathematics, 6:5 (2015), 672–679
39.	E. N. Grishanov, D. A. Eremin, D. A. Ivanov, I. Yu. Popov, P. I. Smirnov, “Periodic chain of disks in a magnetic field: bulk states and edge states”, Nanosystems: Physics, Chemistry, Mathematics, 6:5 (2015), 637–643
40.	V. M. Adamyan, I. V. Blinova, A. I. Popov, I. Yu. Popov, “Waveguide bands for a system of macromolecules”, Nanosystems: Physics, Chemistry, Mathematics, 6:5 (2015), 611–617	2
41.	A. I. Popov, I. S. Lobanov, I. Yu. Popov, T. V. Gerya, “On the Stokes flow computation algorithm based on woodbury formula”, Nanosystems: Physics, Chemistry, Mathematics, 6:1 (2015), 140–145	3
42.	A. E. Ivanova, S. A. Chivilikhin, I. Yu. Popov, A. V. Gleim, “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
	2014
43.	K. V. Pravdin, I. Yu. Popov, “Photonic crystal with negative index material layers”, Nanosystems: Physics, Chemistry, Mathematics, 5:5 (2014), 626–643
44.	O. A. Rodygina, S. A. Chivilikhin, I. Yu. Popov, V. V. Gusarov, “Crystallite model for flow in nanotube caused by wall soliton”, Nanosystems: Physics, Chemistry, Mathematics, 5:3 (2014), 400–404
45.	A. I. Popov, I. S. Lobanov, I. Yu. Popov, T. V. Gerya, “Benchmark solutions for nanoflows”, Nanosystems: Physics, Chemistry, Mathematics, 5:3 (2014), 391–399
	2013
46.	I. Yu. Popov, “On the possibility of magnetoresistance governed by light”, Nanosystems: Physics, Chemistry, Mathematics, 4:6 (2013), 795–799
47.	A. A. Boitsev, H. Neidhardt, I. Yu. Popov, “Weyl function for sum of operators tensor products”, Nanosystems: Physics, Chemistry, Mathematics, 4:6 (2013), 747–759
48.	K. V. Pravdin, I. Yu. Popov, “Model of the interaction of point source electromagnetic fields with metamaterials”, Nanosystems: Physics, Chemistry, Mathematics, 4:4 (2013), 570–576
49.	I. F. Melikhov, I. Yu. Popov, “Hartree-fock approximation for the problem of particle storage in deformed nanolayer”, Nanosystems: Physics, Chemistry, Mathematics, 4:4 (2013), 559–563
	2012
50.	A. A. Boitsev, I. Yu. Popov, O. V. Sokolov, “Hamiltonian with zero-range potentials having infinite number of eigenvalues”, Nanosystems: Physics, Chemistry, Mathematics, 3:4 (2012), 9–19
51.	D. G. Matveev, I. Yu. Popov, “Variational estimations of the eigenvalues for 3D quantum waveguides in a transverse electric field”, Nanosystems: Physics, Chemistry, Mathematics, 3:3 (2012), 6–22
52.	I. S. Lobanov, I. Yu. Popov, “Scattering by a junction of “zig-zag” and “armchair” nanoutubes”, Nanosystems: Physics, Chemistry, Mathematics, 3:2 (2012), 6–28
53.	S. A. Chivilikhin, V. V. Gusarov, I. Yu. Popov, “Flows in nanostructures: hybrid classical-quantum models”, Nanosystems: Physics, Chemistry, Mathematics, 3:1 (2012), 7–26
	2011
54.	S. A. Chivilikhin, I. Yu. Popov, V. V. Gusarov, “Planar flows in nanoscale regions”, Nanosystems: Physics, Chemistry, Mathematics, 2:3 (2011), 49–52
55.	D. A. Eremin, I. Yu. Popov, “Quantum ring with wire: a model of two-particles problem”, Nanosystems: Physics, Chemistry, Mathematics, 2:2 (2011), 15–31
	2010
56.	I. S. Lobanov, V. Yu. Lotoreichik, I. Yu. Popov, “Lower bound on the spectrum of the two-dimensional Schrödinger operator with a $\delta$-perturbation on a curve”, TMF, 162:3 (2010), 397–407 ; Theoret. and Math. Phys., 162:3 (2010), 332–340	13
57.	I. Yu. Popov, A. I. Trifanov, E. S. Trifanova, “Coupled dielectric waveguides with photonic crystal properties”, Zh. Vychisl. Mat. Mat. Fiz., 50:11 (2010), 1931–1937 ; Comput. Math. Math. Phys., 50:11 (2010), 1830–1836	9
	2009
58.	V. A. Geiler, D. A. Ivanov, I. Yu. Popov, “Approximation of a point perturbation on a Riemannian manifold”, TMF, 158:1 (2009), 49–57 ; Theoret. and Math. Phys., 158:1 (2009), 40–47	4
	2006
59.	I. Yu. Popov, E. S. Tesovskaya, “Electron in a multilayered magnetic structure: resonance asymptotics”, TMF, 146:3 (2006), 429–442 ; Theoret. and Math. Phys., 146:3 (2006), 361–372	7
	2003
60.	I. Yu. Popov, S. V. Frolov, “Violation of symmetry in the system of three laterally coupled quantum waveguides and resonance asymptotics”, Zap. Nauchn. Sem. POMI, 300 (2003), 221–227 ; J. Math. Sci. (N. Y.), 128:2 (2005), 2807–2811
	2002
61.	I. Yu. Popov, “Asymptotic Series for the Spectrum of the Schrödinger Operator for Layers Coupled Through Small Windows”, TMF, 131:3 (2002), 407–418 ; Theoret. and Math. Phys., 131:3 (2002), 791–800	4
	1999
62.	I. Yu. Popov, “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 ; Math. Notes, 65:5 (1999), 590–597	1
63.	I. Yu. Popov, D. A. Zubok, “Two physical applications of the Laplace operator perturbed on a null set”, TMF, 119:2 (1999), 295–307 ; Theoret. and Math. Phys., 119:2 (1999), 629–639	8
64.	I. Yu. Popov, S. L. Popova, “Parallel Stokes flow in a ring-like structure”, Zh. Vychisl. Mat. Mat. Fiz., 39:7 (1999), 1196–1204 ; Comput. Math. Math. Phys., 39:7 (1999), 1154–1162
	1997
65.	I. Yu. Popov, “Эволюция квазичаплыгинской среды и возмущение оператора Лапласа на множестве нулевой меры”, Mat. Model., 9:10 (1997), 21
	1996
66.	V. A. Geiler, I. Yu. Popov, “Ballistic transport in nanostructures: explicitly solvable models”, TMF, 107:1 (1996), 12–20 ; Theoret. and Math. Phys., 107:1 (1996), 427–434	23
	1995
67.	I. Yu. Popov, “A model of creeping fluid motion in domains connected by a small opening”, Mat. Model., 7:5 (1995), 81
68.	A. A. Kiselev, I. Yu. Popov, “Indefinite metric and scattering by a domain with a small hole”, Mat. Zametki, 58:6 (1995), 837–850 ; Math. Notes, 58:6 (1995), 1276–1285	1
69.	I. Yu. Popov, “Stratified flow in electric field, Schrödinger equation and operator extension theory model”, TMF, 103:2 (1995), 246–255 ; Theoret. and Math. Phys., 103:2 (1995), 535–542	1
	1994
70.	I. Yu. Popov, “On operator treatment of a Stokeslet”, Sibirsk. Mat. Zh., 35:5 (1994), 1148–1153 ; Siberian Math. J., 35:5 (1994), 1022–1026	3
	1992
71.	I. Yu. Popov, “The Helmholtz resonator and the theory of operator extensions in a space with indefinite metric”, Mat. Sb., 183:3 (1992), 3–37 ; Russian Acad. Sci. Sb. Math., 75:2 (1993), 285–315	16
72.	I. Yu. Popov, “A model of zero width slits for an orifice in a semitransparent boundary”, Sibirsk. Mat. Zh., 33:5 (1992), 121–126 ; Siberian Math. J., 33:5 (1992), 856–861
	1991
73.	A. A. Kiselev, I. Yu. Popov, “Higher moments in a model of zero-width slits”, TMF, 89:1 (1991), 11–17 ; Theoret. and Math. Phys., 89:1 (1991), 1019–1024	4
74.	B. S. Pavlov, I. Yu. Popov, “Acoustic model of zero-width slits and hydrodynamic boundary layer stability”, TMF, 86:3 (1991), 391–401 ; Theoret. and Math. Phys., 86:3 (1991), 269–276	9
	1990
75.	I. Yu. Popov, “Integral equations in a model of apertures of zero width”, Algebra i Analiz, 2:5 (1990), 189–196 ; Leningrad Math. J., 2:5 (1991), 1111–1119
76.	I. Yu. Popov, “Justification of a model of zero-width slits for the Neumann problem”, Dokl. Akad. Nauk SSSR, 313:4 (1990), 806–811 ; Dokl. Math., 42:1 (1991), 91–96	1
77.	I. Yu. Popov, “Extension theory and localization of resonances for domains of trap type”, Mat. Sb., 181:10 (1990), 1366–1390 ; Math. USSR-Sb., 71:1 (1992), 209–234	35
	1989
78.	I.Yu.Popov, “Justification of the model of cracks of zero width for the Dirichlet problem”, Sibirsk. Mat. Zh., 30:3 (1989), 103–108 ; Siberian Math. J., 30:3 (1989), 428–432	1
	1987
79.	I. Yu. Popov, “A slit of zero width and the Dirichlet condition”, Dokl. Akad. Nauk SSSR, 294:2 (1987), 330–334
80.	M. M. Zimnev, I. Yu. Popov, “Selection of parameters for a model of cracks of zero width”, Zh. Vychisl. Mat. Mat. Fiz., 27:3 (1987), 466–470 ; U.S.S.R. Comput. Math. Math. Phys., 27:2 (1987), 99–102	3

Presentations in Math-Net.Ru

1.	О перепутанных состояниях и квантовых каналах I. Yu. Popov Probability and Approximation May 25, 2023 18:00

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