Pereskokov Alexandr Vadimovich

Publications in Math-Net.Ru

1. Asymptotics of hypergeometric coherent states and eigenfunctions of the hydrogen atom in a magnetic field. Determination of self-consistent energy levels
   
   TMF, 222:3 (2025),  531–550
2. Asymptotics of the spectrum of a Hartree-type operator with a screened Coulomb self-action potential near the upper boundaries of spectral clusters
   
   TMF, 209:3 (2021),  543–560
3. Asymptotics of the Spectrum of the Hydrogen Atom in Orthogonal Electric and Magnetic Fields near the Lower Boundaries of Spectral Clusters
   
   Mat. Zametki, 107:5 (2020),  734–751
4. Semiclassical asymptotic spectrum of the two-dimensional Hartree operator near a local maximum of the eigenvalues in a spectral cluste
   
   TMF, 205:3 (2020),  467–483
5. Asymptotics of the spectrum of a two-dimensional Hartree-type operator with a Coulomb self-action potential near the lower boundaries of spectral clusters
   
   TMF, 199:3 (2019),  445–459
6. Semiclassical Asymptotics of the Spectrum near the Lower Boundary of Spectral Clusters for a Hartree-Type Operator
   
   Mat. Zametki, 101:6 (2017),  894–910
7. Semiclassical asymptotic approximation of the two-dimensional Hartree operator spectrum near the upper boundaries of spectral clusters
   
   TMF, 187:1 (2016),  74–87
8. Asymptotics of the Hartree operator spectrum near the upper boundaries of spectral clusters: Asymptotic solutions localized near a circle
   
   TMF, 183:1 (2015),  78–89
9. Semiclassical asymptotic spectrum of a Hartree-type operator near the upper boundary of spectral clusters
   
   TMF, 178:1 (2014),  88–106
10. Asymptotics of the spectrum and quantum averages of a perturbed resonant oscillator near the boundaries of spectral clusters
    
    Izv. RAN. Ser. Mat., 77:1 (2013),  165–210
11. Asymptotics of the spectrum of the hydrogen atom in a magnetic field near the lower boundaries of spectral clusters
    
    Tr. Mosk. Mat. Obs., 73:2 (2012),  277–325
12. Asymptotics of the Spectrum and Quantum Averages near the Boundaries of Spectral Clusters for Perturbed Two-Dimensional Oscillators
    
    Mat. Zametki, 92:4 (2012),  583–596
13. Asymptotic solutions for Hartree equations and logarithmic obstructions for higher corrections of semiclassical approximation
    
    Trudy Inst. Mat. i Mekh. UrO RAN, 9:1 (2003),  102–106
14. Asymptotic Solutions of Two-Dimensional Hartree-Type Equations Localized in the Neighborhood of Line Segments
    
    TMF, 131:3 (2002),  389–406
15. Asymptotic solutions of Hartree equations concentrated near low-dimensional submanifolds. II. Localization in planar discs
    
    Izv. RAN. Ser. Mat., 65:6 (2001),  57–98
16. Asymptotic solutions of Hartree equations concentrated near low-dimensional submanifolds. I. The model with logarithmic singularity
    
    Izv. RAN. Ser. Mat., 65:5 (2001),  33–72
17. Turning points, phase shifts, and quantization rules in ordinary differential equations with a local rapidly decreasing nonlinearity
    
    Tr. Mosk. Mat. Obs., 56 (1995),  107–176
18. On connection formulas for the second Painleve transcendent. Proof of the Miles conjecture, and a quantization rule
    
    Izv. RAN. Ser. Mat., 57:3 (1993),  92–151
19. Logarithmic corrections in a quantization rule. The polaron spectrum
    
    TMF, 97:1 (1993),  78–93
20. One-dimensional equations of a self-consistent field with cubic nonlinearity in quasiclassical approximation
    
    Mat. Zametki, 52:2 (1992),  66–82
21. Quantization rule for self-consistent field equations with local rapidly decreasing nonlinearity
    
    TMF, 79:2 (1989),  198–208
22. Quantization rule for the nonlinear Schrödinger equation in an exterior field
    
    Mat. Zametki, 44:1 (1988),  149–152
23. Resonance frequencies of valves in optic media with spatial dispersion
    
    Dokl. Akad. Nauk SSSR, 281:5 (1985),  1085–1088