Levin Sergei Borisovich

Publications in Math-Net.Ru

1. Global uniform asymptotics in the form of Airy functions for the problem of scattering on a repulsive Coulomb potential, and Keplerian trajectories
   
   Mat. Sb., 216:8 (2025),  112–128
2. On the scattering problem of three one-dimensional short-range quantum particles in the presence of bound states in pair subsystems
   
   Zap. Nauchn. Sem. POMI, 541 (2025),  51–75
3. 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
4. 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
5. Model of an effective separable potential in the problem of three one-dimensional quantum particles
   
   Zap. Nauchn. Sem. POMI, 533 (2024),  15–43
6. Solution of the Quantum Three-Body Problem in a Neighborhood of Three-Particle Forward Scattering Direction
   
   Mat. Zametki, 113:3 (2023),  332–346
7. 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
8. 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
9. 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
10. Diffraction Approach in the Scattering Problem for Three Charged Quantum Particles
    
    Mat. Zametki, 108:3 (2020),  469–473
11. 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
12. 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
13. The absolutely continuous spectrum eigenfunctions asymptotics of the three one-dimensional quantum particles scattering problem
    
    Zap. Nauchn. Sem. POMI, 471 (2018),  15–37
14. Some aspects of the scattering problem for the system of three charged particles
    
    Zap. Nauchn. Sem. POMI, 461 (2017),  65–94
15. 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
16. 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
17. 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
18. 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
19. On the mathematical work of Vladimir Savel'evich Buslaev
    
    Algebra i Analiz, 25:2 (2013),  3–36
20. 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
21. Asymptotic behavior of eigenfunctions of the three-particle Schrödinger operator. II. Charged one-dimensional particles
    
    Algebra i Analiz, 22:3 (2010),  60–79
22. Extension theory approach to scattering and annihilation in the $\bar pd$ system
    
    TMF, 118:1 (1999),  74–94