Persons: Levin, Sergei Borisovich

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Levin, Sergei Borisovich

Statistics Math-Net.Ru
Total publications:	19
Scientific articles:	19
Presentations:	2

Number of views:
This page:	459
Abstract pages:	4573
Full texts:	1267
References:	817

https://www.mathnet.ru/eng/person20789

List of publications on Google Scholar

List of publications on ZentralBlatt

https://mathscinet.ams.org/mathscinet/MRAuthorID/344521

	Publications in Math-Net.Ru	Citations
	2024
1.	A. M. Budylin, S. B. Levin, “Interaction of $N$ charged particles in the frame of the modified $\mathrm{ВВК}$ approximation: $(N-1)$-particle cluster and a distant particle”, Algebra i Analiz, 36:6 (2024), 1–15
2.	A. M. Budylin, S. B. Levin, T. S. Yurova, “Asymptotics of the solution of the Dirichlet problem for the Laplace equation in a strip with thin branches”, Mat. Zametki, 116:3 (2024), 355–371 ; Math. Notes, 116:3 (2024), 432–445
	2023
3.	A. M. Budylin, S. B. Levin, “Solution of the Quantum Three-Body Problem in a Neighborhood of Three-Particle Forward Scattering Direction”, Mat. Zametki, 113:3 (2023), 332–346 ; Math. Notes, 113:3 (2023), 327–338
4.	S. Yu. Dobrokhotov, S. B. Levin, A. A. Tolchennikov, “Keplerian orbits and global asymptotic solution in the form of an Airy function for the scattering problem on a repulsive Coulomb potential”, Uspekhi Mat. Nauk, 78:4(472) (2023), 205–206 ; Russian Math. Surveys, 78:4 (2023), 788–790
5.	A. M. Budylin, S. B. Levin, “On the main term of the asymptotics of the problem of few charged particles in the presence of bound states”, Zap. Nauchn. Sem. POMI, 521 (2023), 59–78
	2021
6.	S. B. Levin, “Clarification of the distorted six-dimensional plane wave type solution asymptotics of the quantum scattering problem of three charged particles”, Zap. Nauchn. Sem. POMI, 506 (2021), 89–97
	2020
7.	S. B. Levin, “Diffraction Approach in the Scattering Problem for Three Charged Quantum Particles”, Mat. Zametki, 108:3 (2020), 469–473 ; Math. Notes, 108:3 (2020), 457–461	3
8.	A. M. Budylin, S. B. Levin, “The scattering problem of three one-dimensional quantum particles. The case of pair Coulomb potentials of repulsion at large distances”, Zap. Nauchn. Sem. POMI, 493 (2020), 88–101	1
	2019
9.	I. V. Baibulov, A. M. Budylin, S. B. Levin, “The scattering problem of three one-dimensional short-range quantum particles involving bound states in pair subsystems. The coordinate asymptotics of the resolvent kernel and absolutely continuous spectrum eigenfunctions”, Zap. Nauchn. Sem. POMI, 483 (2019), 5–18	1
	2018
10.	I. V. Baibulov, A. M. Budylin, S. B. Levin, “The absolutely continuous spectrum eigenfunctions asymptotics of the three one-dimensional quantum particles scattering problem”, Zap. Nauchn. Sem. POMI, 471 (2018), 15–37 ; J. Math. Sci. (N. Y.), 243:5 (2019), 640–655	2
	2017
11.	A. M. Budylin, Ya. U. Koptelov, S. B. Levin, “Some aspects of the scattering problem for the system of three charged particles”, Zap. Nauchn. Sem. POMI, 461 (2017), 65–94 ; J. Math. Sci. (N. Y.), 238:5 (2019), 601–620	3
12.	I. V. Baybulov, A. M. Budylin, S. B. Levin, “Few one-dimensional quantum particles scattering problem. The structure and asymptotics of the resolvent kernel limit values”, Zap. Nauchn. Sem. POMI, 461 (2017), 14–51 ; J. Math. Sci. (N. Y.), 238:5 (2019), 566–590	8
	2016
13.	S. B. Levin, “On continuous spectrum eigenfunctions asymptotic behaviour at infinity in configuration space for the system of three three-dimensional like-charged quantum particles”, Zap. Nauchn. Sem. POMI, 451 (2016), 79–115 ; J. Math. Sci. (N. Y.), 226:6 (2017), 744–767	8
	2015
14.	A. M. Budylin, S. B. Levin, “To the question of Schröedinger operator kernel resolvent asymptotics construction in the three one-dimensional quantum particles scattering problem interacting by finite repulsive pair potentials”, Zap. Nauchn. Sem. POMI, 438 (2015), 95–103 ; J. Math. Sci. (N. Y.), 224:1 (2017), 63–68	1
15.	A. M. Budylin, S. B. Levin, “The equation of convolution on a large finite interval with the symbol which has zeros of nonintegral powers”, Zap. Nauchn. Sem. POMI, 438 (2015), 83–94 ; J. Math. Sci. (N. Y.), 224:1 (2017), 54–62	1
	2013
16.	V. M. Babich, A. M. Budylin, L. A. Dmitrieva, A. I. Komech, S. B. Levin, M. V. Perel', E. A. Rybakina, V. V. Sukhanov, A. A. Fedotov, “On the mathematical work of Vladimir Savel'evich Buslaev”, Algebra i Analiz, 25:2 (2013), 3–36 ; St. Petersburg Math. J., 25:2 (2014), 151–174
	2012
17.	V. S. Buslaev, S. B. Levin, “A System of Three Three-Dimensional Charged Quantum Particles: Asymptotic Behavior of the Eigenfunctions of the Continuous Spectrum at Infinity”, Funktsional. Anal. i Prilozhen., 46:2 (2012), 83–88 ; Funct. Anal. Appl., 46:2 (2012), 147–151	13
	2010
18.	V. S. Buslaev, S. B. Levin, “Asymptotic behavior of eigenfunctions of the three-particle Schrödinger operator. II. Charged one-dimensional particles”, Algebra i Analiz, 22:3 (2010), 60–79 ; St. Petersburg Math. J., 22:3 (2011), 379–392	15
	1999
19.	Yu. A. Kuperin, S. B. Levin, “Extension theory approach to scattering and annihilation in the $\bar pd$ system”, TMF, 118:1 (1999), 74–94 ; Theoret. and Math. Phys., 118:1 (1999), 60–76	1

Presentations in Math-Net.Ru

Effective asymptotics of the solution of the scattering problem for the Schrödinger equation with a repulsive Coulomb potential and Keplerian trajectories
S. Yu. Dobrokhotov, S. B. Levin, A. A. Tolchennikov
Scientific seminar on the differential and functional differential equations
September 20, 2022 12:00

Кеплеровы траектории и эффективная асимптотика решения задачи рассеяния для уравнения Шредингера с отталкивающим кулоновским потенциалом
S. Yu. Dobrokhotov, S. B. Levin, A. A. Tolchennikov
Seminar of the Department of Geometry and Topology "Geometry, Topology and Mathematical Physics", Steklov Mathematical Institute of RAS (Novikov Seminar)
June 8, 2022 14:00

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