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Kapshai, Valerii Nikolaevich
Statistics Math-Net.Ru
Total publications: 44
Scientific articles: 44

Number of views:
This page:543
Abstract pages:6449
Full texts:2587
References:912

https://www.mathnet.ru/eng/person21418
List of publications on Google Scholar
List of publications on ZentralBlatt
https://mathscinet.ams.org/mathscinet/MRAuthorID/192627

Publications in Math-Net.Ru Citations
2023
1. Yu. A. Grishechkin, A. V. Buzhan, V. N. Kapshai, “Approximate analytical solution of the one-dimensional quasipotential equation with the potential $(\rho^2+\rho_0^2)^{-1}$ in the relativistic configurational representation”, PFMT, 2023, no. 3(56),  12–15  mathnet
2. V. N. Kapshai, A. A. Grishechkina, “Solution of relativistic partial equations for scattering $d$-states”, PFMT, 2023, no. 1(54),  25–30  mathnet
2022
3. A. I. Talkachov, A. A. Shamyna, V. N. Kapshai, “Analysis of energy characteristics of the second-harmonic generation in long cylindrical dielectric particles”, PFMT, 2022, no. 4(53),  53–63  mathnet
4. V. N. Kapshai, E. D. Golovin, A. A. Shamyna, “Generation of sum-frequency waves in the surface layer of a spherical particle”, PFMT, 2022, no. 3(52),  22–27  mathnet 1
5. Yu. A. Grishechkin, V. N. Kapshai, “Approximate analytical solution of the Logunov–Tavkhelidze equation with a linear potential in the relativistic configurational representation”, PFMT, 2022, no. 2(51),  22–25  mathnet  mathscinet
6. Yu. A. Grishechkin, V. N. Kapshai, “Approximate analytic solution of the Logunov–Tavkhelidze equation for a one-dimensional oscillator potential in the relativistic configuration representation”, TMF, 211:3 (2022),  455–468  mathnet  mathscinet; Theoret. and Math. Phys., 211:3 (2022), 826–837  scopus 1
2021
7. A. I. Tolkachev, A. A. Shamyna, V. N. Kapshai, “Second harmonic–sum frequency generation in a thin spherical layer. IV. Optimization analysis”, Optics and Spectroscopy, 129:12 (2021),  1568–1582  mathnet  elib 2
8. A. A. Shamyna, V. N. Kapshai, A. I. Tolkachev, “Second harmonic–sum frequency generation in a thin spherical layer. III. Properties of the solution”, Optics and Spectroscopy, 129:12 (2021),  1559–1567  mathnet  elib
9. A. I. Tolkachev, V. N. Kapshai, A. A. Shamyna, “Second harmonic–sum frequency generation in a thin spherical layer. II. Analysis of directivity patterns”, Optics and Spectroscopy, 129:12 (2021),  1547–1558  mathnet  elib
10. V. N. Kapshai, A. I. Tolkachev, A. A. Shamyna, “Second harmonic–sum frequency generation in a thin spherical layer. I. An analytical solution”, Optics and Spectroscopy, 129:12 (2021),  1537–1546  mathnet  elib 1
11. V. N. Kapshai, A. A. Grishechkina, “Relativistic partial Green's functions of scattering states characterized by orbital quantum number $l=1$”, PFMT, 2021, no. 3(48),  7–13  mathnet 1
12. Yu. A. Grishechkin, V. N. Kapshai, “Some solutions of the dispersion equation for a moving biisotropic medium”, PFMT, 2021, no. 2(47),  35–38  mathnet
2020
13. A. I. Talkachov, V. N. Kapshai, A. A. Shamyna, “Reflection of a normally incident electromagnetic wave from a periodic biisotropic structure on a substrate”, PFMT, 2020, no. 2(43),  28–38  mathnet
2019
14. A. A. Shamyna, V. N. Kapshai, “Second-harmonic generation from a thin cylindrical layer: III. No-generation conditions”, Optics and Spectroscopy, 126:6 (2019),  740–747  mathnet  elib; Optics and Spectroscopy, 126:6 (2019), 661–670 4
15. V. N. Kapshai, A. A. Shamyna, “Second-harmonic generation from a thin cylindrical layer: II. Analysis of the solution”, Optics and Spectroscopy, 126:6 (2019),  732–739  mathnet  elib; Optics and Spectroscopy, 126:6 (2019), 653–660 4
16. A. A. Shamyna, V. N. Kapshai, “Second-harmonic generation from a thin cylindrical layer: I. Analytical solution”, Optics and Spectroscopy, 126:6 (2019),  724–731  mathnet  elib; Optics and Spectroscopy, 126:6 (2019), 645–652 5
17. Yu. A. Grishechkin, A. V. Pavlenko, V. N. Kapshai, “On an approximate analytical method for solving the Schrödinger equation with the Gaussian potential”, PFMT, 2019, no. 4(41),  7–10  mathnet 1
2018
18. A. A. Shamyna, V. N. Kapshai, “Sum-frequency generation from a thin spherical layer: II. Analysis of solution”, Optics and Spectroscopy, 125:1 (2018),  71–78  mathnet  elib; Optics and Spectroscopy, 125:1 (2018), 74–81 6
19. V. N. Kapshai, A. A. Shamyna, “Sum-frequency generation from a thin spherical layer: I. Analytical solution”, Optics and Spectroscopy, 124:6 (2018),  795–803  mathnet  elib; Optics and Spectroscopy, 124:6 (2018), 826–833 9
20. A. A. Shamyna, V. N. Kapshai, “Ïîïðàâêà ê ñòàòüå “Ãåíåðàöèÿ ñóììàðíîé ÷àñòîòû îò òîíêîãî öèëèíäðè÷åñêîãî ñëîÿ” (òîì 124. N 1. 2017. C. 105–121)”, Optics and Spectroscopy, 124:5 (2018),  718  mathnet  elib
21. A. A. Shamyna, V. N. Kapshai, “Sum-frequency generation from a thin cylindrical layer”, Optics and Spectroscopy, 124:1 (2018),  105–121  mathnet  elib; Optics and Spectroscopy, 124:1 (2018), 103–120 10
22. V. N. Kapshai, S. I. Fialka, “Relativistic scattering cross sections of a two-particle system in the case of interaction potentials containing a “barrier””, PFMT, 2018, no. 1(34),  29–32  mathnet
2017
23. Yu. A. Grishechkin, V. N. Kapshai, M. S. Danilchenko, “Relativistic bound $s$-states problem for superposition of two potentials «$\delta$-sphere» type”, PFMT, 2017, no. 2(31),  15–19  mathnet
2015
24. V. N. Kapshai, Yu. A. Grishechkin, “Relativistic scattering $s$-states problem for superposition of two potentials «$\delta$-sphere» type”, PFMT, 2015, no. 2(23),  7–12  mathnet 4
25. V. N. Kapshai, M. S. Danilchenko, Yu. A. Grishechkin, “Covariant equations and resonance states of two-particle systems with $\delta$-function potentials”, PFMT, 2015, no. 1(22),  11–15  mathnet
2014
26. Yu. A. Grishechkin, M. S. Danilchenko, V. N. Kapshai, “Complex scaling method for two-particle equations in the momentum representation and resonance states”, PFMT, 2014, no. 3(20),  21–25  mathnet 1
27. Yu. A. Grishechkin, V. N. Kapshai, “Relativistic scattering problem for two-particle systems with one-boson exchange potentials”, PFMT, 2014, no. 2(19),  13–18  mathnet
2013
28. Yu. A. Grishechkin, V. N. Kapshai, “Relativistic bound state problem for two-particle systems with energy dependent one boson exchange potential”, PFMT, 2013, no. 1(14),  24–26  mathnet
2012
29. V. N. Kapshai, A. A. Shamyna, “Transmission of plane electromagnetic waves trough a multilayer biisotropic structure”, PFMT, 2012, no. 4(13),  10–14  mathnet 1
2011
30. V. N. Kapshai, K. P. Shilyaeva, Yu. A. Grishechkin, “Resonance states of relativistic systems and covariant two-particle equations”, PFMT, 2011, no. 4(9),  33–37  mathnet
31. V. N. Kapshai, A. A. Shamyna, V. V. Kondratjuk, “Resonance structure of the scattering and extinction cross sections in the Mie problem for biisotropic sphere”, PFMT, 2011, no. 4(9),  28–32  mathnet 2
32. V. N. Kapshai, L. D. Korsun, “The stationary perturbation theory in case of a potential-series”, PFMT, 2011, no. 1(6),  29–35  mathnet
2010
33. V. N. Kapshai, K. P. Shilyaeva, “Identification of the influence of resonances on the cross section using Fredholm integral equation”, PFMT, 2010, no. 4(5),  10–17  mathnet 2
34. V. N. Kapshai, V. V. Kondratjuk, “Scattering of electromagnetic waves on biisotropic sphere in biisotropic medium”, PFMT, 2010, no. 3(4),  7–21  mathnet 5
1994
35. E. A. Dei, V. N. Kapshai, N. B. Skachkov, “Three-dimensional covariant one-time equations for a system of $n$ spinor particles”, TMF, 101:1 (1994),  69–84  mathnet  mathscinet  zmath; Theoret. and Math. Phys., 101:1 (1994), 1207–1217  isi
1990
36. E. A. Dei, V. N. Kapshai, N. B. Skachkov, “Exact solutions of a class of quasipotential equations for a superposition of one-boson exchange quasipotentials”, TMF, 82:2 (1990),  188–198  mathnet  mathscinet; Theoret. and Math. Phys., 82:2 (1990), 130–138  isi 2
1986
37. V. N. Kapshai, V. I. Savrin, N. B. Skachkov, “Dependence of the quasipotential on the total energy of a two-particle system”, TMF, 69:3 (1986),  400–410  mathnet; Theoret. and Math. Phys., 69:3 (1986), 1226–1233  isi 15
38. E. A. Dei, V. N. Kapshai, N. B. Skachkov, “Exact solution of quasipotential equations of general form with chromodynamic interaction”, TMF, 69:1 (1986),  55–68  mathnet  mathscinet; Theoret. and Math. Phys., 69:1 (1986), 997–1006  isi 6
1983
39. V. N. Kapshai, S. P. Kuleshov, N. B. Skachkov, “On a class of exact solutions of quasipotential equations”, TMF, 55:3 (1983),  349–360  mathnet  mathscinet; Theoret. and Math. Phys., 55:3 (1983), 545–553  isi 6
40. V. N. Kapshai, N. B. Skachkov, “Exact solutions of quasipotential equations for the Coulomb potential and a linear confining potential”, TMF, 55:2 (1983),  236–245  mathnet; Theoret. and Math. Phys., 55:2 (1983), 471–477  isi 10
41. V. N. Kapshai, N. B. Skachkov, “Covariant two-particle wave functions for model quasipotentials that admit exact solutions. II. Solutions in the relativistic configuration representation”, TMF, 55:1 (1983),  26–38  mathnet  mathscinet; Theoret. and Math. Phys., 55:1 (1983), 330–338  isi 10
42. V. N. Kapshai, N. B. Skachkov, “Covariant two-particle wave functions for model quasipotentials that admit exact solutions. I. Solutions in momentum space”, TMF, 54:3 (1983),  406–415  mathnet  mathscinet; Theoret. and Math. Phys., 54:3 (1983), 265–271  isi 6
1982
43. V. N. Kapshai, A. D. Linkevich, V. I. Savrin, N. B. Skachkov, “Structure functions of pseudoscalar mesons in a composite model with chromodynamic interaction”, TMF, 53:3 (1982),  388–398  mathnet; Theoret. and Math. Phys., 53:3 (1982), 1196–1203  isi 2
44. V. N. Kapshai, N. B. Skachkov, “Exact solution of covariant two-particle one-time equation with superposition of one-boson exchange quasipotentials”, TMF, 53:1 (1982),  32–42  mathnet  mathscinet; Theoret. and Math. Phys., 53:1 (1982), 963–970  isi 6

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