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Publications in Math-Net.Ru |
Citations |
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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 |
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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 |
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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 |
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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 |
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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 |
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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 |
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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 |
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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 |
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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 |
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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 |
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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 |
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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 |
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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 |
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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 |
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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 |
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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 |
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Presentations in Math-Net.Ru |
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