Popov Vladimir Stepanovich

Publications in Math-Net.Ru

1. Coulomb problem for a $Z>Z_{\rm cr}$ nucleus
   
   UFN, 185:8 (2015),  845–852
2. Current progress in developing the nonlinear ionization theory of atoms and ions
   
   UFN, 185:1 (2015),  3–34
3. Hydrogen atom in a strong magnetic field
   
   UFN, 184:3 (2014),  273–296
4. Ionization of atoms and ions by intense laser radiation
   
   Pis'ma v Zh. Èksper. Teoret. Fiz., 93:4 (2011),  256–268
5. On the keldysh ionization theory for ultrashort laser pulses
   
   Pis'ma v Zh. Èksper. Teoret. Fiz., 88:7 (2008),  495–499
6. On the inclusion of the Coulomb interaction in the theory of multiphoton ionization
   
   Pis'ma v Zh. Èksper. Teoret. Fiz., 85:5 (2007),  275–278
7. Feynman disentangling оf noncommuting operators and group representation theory
   
   UFN, 177:12 (2007),  1319–1340
8. On e⁺e⁻ pair production by colliding electromagnetic pulses
   
   Pis'ma v Zh. Èksper. Teoret. Fiz., 80:6 (2004),  434–438
9. On the relativistic theory of tunneling
   
   Pis'ma v Zh. Èksper. Teoret. Fiz., 79:6 (2004),  320–325
10. Tunnel and multiphoton ionization of atoms and ions in a strong laser field (Keldysh theory)
    
    UFN, 174:9 (2004),  921–951
11. Asymptotic behavior of the Gell-Mann-Low function in quantum field theory
    
    Pis'ma v Zh. Èksper. Teoret. Fiz., 77:9 (2003),  547–551
12. The Zeldovich effect in a superstrong magnetic field
    
    Pis'ma v Zh. Èksper. Teoret. Fiz., 77:2 (2003),  79–84
13. On the Zel'dovich regularization method in the theory of quasistationary states
    
    Pis'ma v Zh. Èksper. Teoret. Fiz., 75:5 (2002),  294–1
14. Schwinger mechanism of electron-positron pair production by the field of optical and X-ray lasers in vacuum
    
    Pis'ma v Zh. Èksper. Teoret. Fiz., 74:3 (2001),  151–156
15. Multiphoton ionization of atoms by an ultrashort laser pulse
    
    Pis'ma v Zh. Èksper. Teoret. Fiz., 73:1 (2001),  3–7
16. On the history of developing the theory of tunneling ionization in atoms and ions
    
    UFN, 169:7 (1999),  819–820
17. Two notes on the WKB method
    
    Dokl. Akad. Nauk, 347:4 (1996),  466–468
18. $1/n$-expansion and calculation of wave functions
    
    Dokl. Akad. Nauk SSSR, 303:5 (1988),  1102–1107
19. $1/n$-expansion for the Stark effect in a strong field
    
    Dokl. Akad. Nauk SSSR, 299:5 (1988),  1116–1120
20. The $1/n$ expansion in quantum mechanics
    
    TMF, 74:3 (1988),  399–411
21. $1/n$-Expansion in quantum mechanics
    
    Dokl. Akad. Nauk SSSR, 293:4 (1987),  851–855
22. Summation of perturbation series and the classical mechanics
    
    Dokl. Akad. Nauk SSSR, 289:5 (1986),  1095–1099
23. Coulomb corrections to low energy scattering
    
    Dokl. Akad. Nauk SSSR, 284:3 (1985),  586–591
24. Coulomb problem with short-range interaction: Exactly solvable model
    
    TMF, 65:2 (1985),  238–249
25. Rapidly converging perturbation theory
    
    Dokl. Akad. Nauk SSSR, 279:6 (1984),  1362–1367
26. On the rearrangement of atomic spectrum for $l\ne0$
    
    Dokl. Akad. Nauk SSSR, 279:2 (1984),  345–349
27. Summation of divergent series of perturbation theory for screened Coulomb potentials
    
    Dokl. Akad. Nauk SSSR, 279:1 (1984),  59–63
28. Summation of series of the perturbation theory for Yukawa potential
    
    Dokl. Akad. Nauk SSSR, 272:2 (1983),  335–340
29. S. Logarithmic perturbation theory for screened Coulomb potential
    
    Dokl. Akad. Nauk SSSR, 271:6 (1983),  1345–1348
30. Higher orders of the perturbation theory for the screened Coulomb potential
    
    Dokl. Akad. Nauk SSSR, 265:3 (1982),  597–601
31. On the summation of the perturbation theory series
    
    Dokl. Akad. Nauk SSSR, 264:2 (1982),  330–333
32. Logarithmic perturbation theory for excited levels
    
    Dokl. Akad. Nauk SSSR, 254:6 (1980),  1392–1396
33. Divergence of series in the perturbation theory for the Stark effect and its summation
    
    Dokl. Akad. Nauk SSSR, 250:1 (1980),  74–77
34. On the WCB method at $Z>137$
    
    Dokl. Akad. Nauk SSSR, 249:2 (1979),  329–333
35. Invariant operators for the classical groups
    
    TMF, 32:3 (1977),  344–347
36. New expressions for the invariant operators of the unitary groups
    
    TMF, 29:3 (1976),  357–369
37. Bound states near the limit of the lower continuum
    
    TMF, 27:2 (1976),  204–216
38. Bound states near the limit of the lower continuum (boson case)
    
    TMF, 27:1 (1976),  81–93
39. On the production of $e^+e^-$-pairs from the vacuum under the influence of an electric field
    
    TMF, 17:1 (1973),  34–46
40. Variational principle for critical charge
    
    TMF, 14:1 (1973),  18–26
41. Pair production in a field of heavy nuclei and in a gravitational field
    
    UFN, 105:4 (1971),  780–781
42. Electronic structure of superheavy atoms
    
    UFN, 105:3 (1971),  403–440
43. “Fall to the center” in quantum mechanics
    
    TMF, 4:1 (1970),  48–65
44. Method of generating functions for a quantum oscillator
    
    TMF, 3:3 (1970),  377–391
45. Group-theoretical aspects of the variable frequency oscillator problem
    
    TMF, 1:3 (1969),  360–374
46. “Latent” symmetry of Kepler's relativistic problem
    
    Dokl. Akad. Nauk SSSR, 181:2 (1968),  320–323
47. Casimir operators for semisimple Lie groups
    
    Izv. Akad. Nauk SSSR Ser. Mat., 32:6 (1968),  1368–1390
48. A generating function for Casimir operators
    
    Dokl. Akad. Nauk SSSR, 174:5 (1967),  1021–1023
49. Casimir operators for the classical groups
    
    Dokl. Akad. Nauk SSSR, 174:2 (1967),  287–290


50. “The host of heaven is far...” (my recollections of Ya B Zeldovich)
    
    UFN, 184:4 (2014),  451–456