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Popov, Viktor Nikolaevich
(1937–1994)
Statistics Math-Net.Ru
Total publications: 54
Scientific articles: 54

Number of views:
This page:2740
Abstract pages:10942
Full texts:5080
References:652
Birth date: 27.10.1937

https://www.mathnet.ru/eng/person21460
List of publications on Google Scholar
List of publications on ZentralBlatt
https://mathscinet.ams.org/mathscinet/MRAuthorID/226387

Publications in Math-Net.Ru Citations
1998
1. C. Ya. Gertsenshtein, V. N. Popov, “Calculation of Turbulent Convection with Continuous Spatial Spectrum in a Horizontal Layer of Solution”, Trudy Mat. Inst. Steklova, 223 (1998),  166–170  mathnet  zmath; Proc. Steklov Inst. Math., 223 (1998), 163–167
1997
2. S. Ya. Gertsenshtein, V. N. Popov, “The mechanics of three bodies with different charges”, Dokl. Akad. Nauk, 353:2 (1997),  190–192  mathnet  mathscinet  zmath; Dokl. Math., 42:3 (1997), 152–154
3. V. S. Kapitonov, K. L. Malyshev, V. N. Popov, P. A. Sevastianov, “The effective action and the collective modes spectrum in the antiferromagnetic phase of the three–band repulsive Hubbard model”, Zap. Nauchn. Sem. POMI, 245 (1997),  216–230  mathnet  mathscinet  zmath; J. Math. Sci. (New York), 99:2 (2000), 2147–2155 1
1995
4. K. L. Malyshev, V. N. Popov, “On superconductivity in the three-band two-dimensional repulsive Hubbard model”, TMF, 105:1 (1995),  149–162  mathnet  mathscinet  zmath; Theoret. and Math. Phys., 105:1 (1995), 1307–1318  isi 3
5. V. N. Popov, P. A. Sevastianov, “Ñollective excitations in the superconductive phase of the one-band Hubbard model”, TMF, 102:3 (1995),  457–462  mathnet  zmath; Theoret. and Math. Phys., 102:3 (1995), 331–335  isi 1
6. V. N. Popov, P. A. Sevastianov, “Effective action and collective bose-excitations in the $t$-$J$-model”, Zap. Nauchn. Sem. POMI, 224 (1995),  300–309  mathnet  mathscinet  zmath; J. Math. Sci. (New York), 88:2 (1998), 306–312
1994
7. K. N. Il'inskii, V. N. Popov, “Method of anomalous Green's functions: Antiferromagnetism in the Hubbard model on a triangular lattice”, TMF, 101:2 (1994),  294–303  mathnet; Theoret. and Math. Phys., 101:2 (1994), 1361–1367  isi
8. V. N. Popov, “Magnetic and superconductive states in the repulsive Hubbard model”, Zap. Nauchn. Sem. POMI, 215 (1994),  264–284  mathnet  mathscinet  zmath; J. Math. Sci. (New York), 85:1 (1997), 1727–1740
9. V. N. Popov, P. A. Sevastianov, “Collective excitations in the ferro- and antiferromagnetic states of the two-dimensional repulsive Hubbard model”, Zap. Nauchn. Sem. POMI, 209 (1994),  229–259  mathnet  zmath; J. Math. Sci., 83:1 (1997), 145–164 1
10. C. Malyshev, V. N. Popov, “Antiferromagnetic and superconductive states in the three-band two-dimensional repulsive Hubbard model”, Zap. Nauchn. Sem. POMI, 209 (1994),  194–228  mathnet  mathscinet  zmath; J. Math. Sci., 83:1 (1997), 123–144 2
1992
11. C. Malyshev, V. N. Popov, “Superconductive states in the two-dimensional repulsive Hubbard model”, Zap. Nauchn. Sem. POMI, 199 (1992),  147–176  mathnet  mathscinet  zmath; J. Math. Sci., 77:2 (1995), 3112–3132 1
1991
12. V. N. Popov, V. S. Yarunin, “Photon phase operator”, TMF, 89:3 (1991),  395–401  mathnet  mathscinet; Theoret. and Math. Phys., 89:3 (1991), 1292–1297  isi 8
13. V. N. Popov, “Antiferromagnetism, ferromagnetism and superconductivity in the Hubbard model with repulsion”, Zap. Nauchn. Sem. LOMI, 189 (1991),  153–180  mathnet  mathscinet  zmath; J. Soviet Math., 62:5 (1992), 3036–3052
1990
14. V. I. Vozyakov, V. N. Popov, “The functional approach to the theory of quantum crystallization”, Trudy Mat. Inst. Steklov., 184 (1990),  196–232  mathnet  mathscinet 2
15. V. S. Kapitonov, V. N. Popov, “The functional approach to the theory of Coulomb crystals”, Trudy Mat. Inst. Steklov., 184 (1990),  170–195  mathnet  mathscinet
16. V. N. Popov, S. A. Fedotov, “The diagram technique for ferromagnetic systems with spin 1/2”, Trudy Mat. Inst. Steklov., 184 (1990),  159–169  mathnet  mathscinet
17. V. N. Popov, “The theory of model Hamiltonians and the functional integration method”, Trudy Mat. Inst. Steklov., 184 (1990),  105–129  mathnet  mathscinet  zmath; Proc. Steklov Inst. Math., 184 (1991), 117–145
1989
18. V. N. Popov, “Quantum crystallization of a nonideal Bose gas”, Trudy Mat. Inst. Steklov., 191 (1989),  55–61  mathnet  mathscinet  zmath; Proc. Steklov Inst. Math., 191 (1992), 59–66 1
1988
19. Yu. F. Anisimov, V. N. Popov, “Crystal-fluid in metallic hydrogen”, Zap. Nauchn. Sem. LOMI, 169 (1988),  12–17  mathnet
1986
20. V. N. Popov, “On the possible violation of the scaling law for phase transitions of Bose systems”, Zap. Nauchn. Sem. LOMI, 150 (1986),  87–103  mathnet 2
21. V. I. Vozyakov, V. N. Popov, “Functional approach to the theory of quantum Fermi crystals”, Zap. Nauchn. Sem. LOMI, 150 (1986),  7–16  mathnet
1985
22. V. I. Vozyakov, V. N. Popov, “Functional approach to the theory of quantum crystals”, Zap. Nauchn. Sem. LOMI, 145 (1985),  46–61  mathnet  mathscinet
23. Yu. F. Anisimov, V. N. Popov, “Crystall icstructure of metallic hydrogen”, Zap. Nauchn. Sem. LOMI, 145 (1985),  22–33  mathnet  mathscinet
1983
24. P. N. Brusov, V. N. Popov, “Collective excitations in the superfluid $A$ and $B$ phases of $\operatorname{He}^3$ in an electric field”, TMF, 57:2 (1983),  249–256  mathnet; Theoret. and Math. Phys., 57:2 (1983), 1118–1123  isi 1
25. V. N. Popov, V. S. Yarunin, “Coherent dynamics of three coupled oscillators”, TMF, 57:1 (1983),  115–120  mathnet; Theoret. and Math. Phys., 57:1 (1983), 1027–1030  isi 3
26. V. A. Podolskii, V. N. Popov, “Stability of the phonon branch of Bose spectrum of the superfluid Fermi system at large momenta”, Zap. Nauchn. Sem. LOMI, 131 (1983),  114–117  mathnet
27. V. I. Vozyakov, V. N. Popov, “Functional approach to the investigation of collective exitations in uniform Fermi systems at $T=0$”, Zap. Nauchn. Sem. LOMI, 131 (1983),  28–33  mathnet
28. V. A. Andrianov, V. S. Kapitonov, V. N. Popov, “Functional approach to the derivation of the effective interaction between electrons in the theory of simple metals”, Zap. Nauchn. Sem. LOMI, 131 (1983),  3–13  mathnet
1982
29. P. N. Brusov, V. N. Popov, “Bose spectrum of superfluid systems of the $\text{He}^3$–$\text{He}^4$ type”, TMF, 53:3 (1982),  444–455  mathnet; Theoret. and Math. Phys., 53:3 (1982), 1235–1243  isi 2
30. V. N. Popov, S. A. Fedotov, “Behavior of the partition function of Dicke type models in the limit of a large number of atoms”, TMF, 51:1 (1982),  73–85  mathnet  mathscinet; Theoret. and Math. Phys., 51:1 (1982), 363–371  isi 22
31. P. N. Brusov, Y. D. Gutl'anskii, V. N. Popov, “On the influence of electric field on the energy spectrum and on the hydrodynamics of the superfluld Helium”, Zap. Nauchn. Sem. LOMI, 120 (1982),  25–31  mathnet  mathscinet
32. G. K. Bidzhelova, V. N. Popov, “Application of functional integrals to the theory of heavy atoms”, Zap. Nauchn. Sem. LOMI, 120 (1982),  12–20  mathnet  mathscinet
33. V. A. Andrianov, V. S. Kapitonov, V. N. Popov, “Functional approach to the theory of the metal surface structure”, Zap. Nauchn. Sem. LOMI, 120 (1982),  3–11  mathnet  mathscinet
1981
34. N. E. Bogdanova, V. N. Popov, “Two-dimensional field theory with several condensed phases”, TMF, 46:3 (1981),  325–334  mathnet; Theoret. and Math. Phys., 46:3 (1981), 212–218  isi 3
35. V. N. Popov, M. M. Skriganov, “Remark on the spectrum structure of the two-dimensional Schrödinger operator with the periodic potential”, Zap. Nauchn. Sem. LOMI, 109 (1981),  131–133  mathnet  mathscinet  zmath; J. Soviet Math., 24:2 (1984), 239–240 6
36. V. N. Popov, “Functional integral method for the BCS-type models”, Zap. Nauchn. Sem. LOMI, 101 (1981),  128–150  mathnet  mathscinet; J. Soviet Math., 23:4 (1983), 2453–2465 4
37. V. S. Kapitonov, V. N. Popov, “Functional integral approuch to the theory of crystals”, Zap. Nauchn. Sem. LOMI, 101 (1981),  77–89  mathnet  mathscinet; J. Soviet Math., 23:4 (1983), 2421–2428 2
38. V. Alonso, V. N. Popov, “On coexistence of superfluidity and ferromagnetism”, Zap. Nauchn. Sem. LOMI, 101 (1981),  3–10  mathnet; J. Soviet Math., 23:4 (1983), 2373–2378
1979
39. V. N. Popov, “Asymptotic formula for the sum of sums of the elements of continued fractions for the numbers $a/p$”, Zap. Nauchn. Sem. LOMI, 91 (1979),  81–93  mathnet  mathscinet  zmath; J. Soviet Math., 17:5 (1981), 2137–2147 4
1978
40. V. N. Popov, “A method for calculating the long-range behavior of the spin correlator in a two-dimensionalising model”, Zap. Nauchn. Sem. LOMI, 77 (1978),  188–213  mathnet  mathscinet  zmath; J. Soviet Math., 22:5 (1983), 1666–1684
41. P. P. Kulish, V. N. Popov, “Infrared asymptotics of the Green's function of massive particles in a charge-symmetric model”, Zap. Nauchn. Sem. LOMI, 77 (1978),  124–133  mathnet  mathscinet; J. Soviet Math., 22:5 (1983), 1620–1627 7
1977
42. V. N. Popov, “Theory of one-dimensional Bose gas with point interaction”, TMF, 30:3 (1977),  346–352  mathnet  mathscinet; Theoret. and Math. Phys., 30:3 (1977), 222–226 31
1976
43. V. A. Andrianov, V. N. Popov, “Hydrodynamic action and Bose spectrum of superfluid Fermi systems”, TMF, 28:3 (1976),  340–351  mathnet; Theoret. and Math. Phys., 28:3 (1976), 829–837 18
44. V. S. Kapitonov, V. N. Popov, “Hydrodynamic action for a plasma”, TMF, 26:2 (1976),  246–255  mathnet; Theoret. and Math. Phys., 26:2 (1976), 164–170 4
1975
45. V. N. Popov, “The number of integer points under a parabola”, Mat. Zametki, 18:5 (1975),  699–704  mathnet  mathscinet  zmath; Math. Notes, 18:5 (1975), 1007–1010 5
46. V. N. Popov, “Some applications of Feynman integrals to the theory of Bose systems”, Trudy Mat. Inst. Steklov., 136 (1975),  379–389  mathnet
1973
47. V. N. Popov, A. A. Kiselev, “Diagram technique in the general perturbation theory”, Dokl. Akad. Nauk SSSR, 213:1 (1973),  70–73  mathnet
48. L. D. Faddeev, V. N. Popov, “Covariant quantization of the gravitational field”, UFN, 111:3 (1973),  427–450  mathnet; Phys. Usp., 16:6 (1974), 777–788 173
1972
49. V. N. Popov, “On the theory of the superfluidity of two- and one-dimensional bose systems”, TMF, 11:3 (1972),  354–365  mathnet; Theoret. and Math. Phys., 11:3 (1972), 565–573 184
50. V. N. Popov, “Hydrodynamic Hamiltonian for a nonideal Bose gas”, TMF, 11:2 (1972),  236–247  mathnet; Theoret. and Math. Phys., 11:2 (1972), 478–486 32
1971
51. V. N. Popov, “Application of functional integration to the derivation of the low-frequency asymptotic behaviour of Green's functions and kinetic equations for a nonideal Bose gas”, TMF, 6:1 (1971),  90–108  mathnet; Theoret. and Math. Phys., 6:1 (1971), 65–77 10
1969
52. V. N. Popov, V. A. Stepanov, “The error information in the translator TA-1M”, Zh. Vychisl. Mat. Mat. Fiz., 9:2 (1969),  482–485  mathnet; U.S.S.R. Comput. Math. Math. Phys., 9:2 (1969), 317–323
1964
53. A. D. Gorbunov, V. N. Popov, “On methods of Adams type for the approximate solution of the Cauchy problem for ordinary differential equations with time lag”, Zh. Vychisl. Mat. Mat. Fiz., 4:supplement to № 4 (1964),  135–148  mathnet  mathscinet  zmath
54. V. N. Popov, V. A. Stepanov, N. A. Travnikova, A. G. Stisheva, “A programming program”, Zh. Vychisl. Mat. Mat. Fiz., 4:1 (1964),  78–95  mathnet  mathscinet; U.S.S.R. Comput. Math. Math. Phys., 4:1 (1964), 105–128 4

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