Popov Viktor Nikolaevich

Publications in Math-Net.Ru

1. Calculation of Turbulent Convection with Continuous Spatial Spectrum in a Horizontal Layer of Solution
   
   Trudy Mat. Inst. Steklova, 223 (1998),  166–170
2. The mechanics of three bodies with different charges
   
   Dokl. Akad. Nauk, 353:2 (1997),  190–192
3. 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
4. On superconductivity in the three-band two-dimensional repulsive Hubbard model
   
   TMF, 105:1 (1995),  149–162
5. Сollective excitations in the superconductive phase of the one-band Hubbard model
   
   TMF, 102:3 (1995),  457–462
6. Effective action and collective bose-excitations in the $t$-$J$-model
   
   Zap. Nauchn. Sem. POMI, 224 (1995),  300–309
7. Method of anomalous Green's functions: Antiferromagnetism in the Hubbard model on a triangular lattice
   
   TMF, 101:2 (1994),  294–303
8. Magnetic and superconductive states in the repulsive Hubbard model
   
   Zap. Nauchn. Sem. POMI, 215 (1994),  264–284
9. Collective excitations in the ferro- and antiferromagnetic states of the two-dimensional repulsive Hubbard model
   
   Zap. Nauchn. Sem. POMI, 209 (1994),  229–259
10. Antiferromagnetic and superconductive states in the three-band two-dimensional repulsive Hubbard model
    
    Zap. Nauchn. Sem. POMI, 209 (1994),  194–228
11. Superconductive states in the two-dimensional repulsive Hubbard model
    
    Zap. Nauchn. Sem. POMI, 199 (1992),  147–176
12. Photon phase operator
    
    TMF, 89:3 (1991),  395–401
13. Antiferromagnetism, ferromagnetism and superconductivity in the Hubbard model with repulsion
    
    Zap. Nauchn. Sem. LOMI, 189 (1991),  153–180
14. The functional approach to the theory of quantum crystallization
    
    Trudy Mat. Inst. Steklov., 184 (1990),  196–232
15. The functional approach to the theory of Coulomb crystals
    
    Trudy Mat. Inst. Steklov., 184 (1990),  170–195
16. The diagram technique for ferromagnetic systems with spin 1/2
    
    Trudy Mat. Inst. Steklov., 184 (1990),  159–169
17. The theory of model Hamiltonians and the functional integration method
    
    Trudy Mat. Inst. Steklov., 184 (1990),  105–129
18. Quantum crystallization of a nonideal Bose gas
    
    Trudy Mat. Inst. Steklov., 191 (1989),  55–61
19. Crystal-fluid in metallic hydrogen
    
    Zap. Nauchn. Sem. LOMI, 169 (1988),  12–17
20. On the possible violation of the scaling law for phase transitions of Bose systems
    
    Zap. Nauchn. Sem. LOMI, 150 (1986),  87–103
21. Functional approach to the theory of quantum Fermi crystals
    
    Zap. Nauchn. Sem. LOMI, 150 (1986),  7–16
22. Functional approach to the theory of quantum crystals
    
    Zap. Nauchn. Sem. LOMI, 145 (1985),  46–61
23. Crystall icstructure of metallic hydrogen
    
    Zap. Nauchn. Sem. LOMI, 145 (1985),  22–33
24. Collective excitations in the superfluid $A$ and $B$ phases of $\operatorname{He}^3$ in an electric field
    
    TMF, 57:2 (1983),  249–256
25. Coherent dynamics of three coupled oscillators
    
    TMF, 57:1 (1983),  115–120
26. Stability of the phonon branch of Bose spectrum of the superfluid Fermi system at large momenta
    
    Zap. Nauchn. Sem. LOMI, 131 (1983),  114–117
27. Functional approach to the investigation of collective exitations in uniform Fermi systems at $T=0$
    
    Zap. Nauchn. Sem. LOMI, 131 (1983),  28–33
28. 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
29. Bose spectrum of superfluid systems of the $\text{He}^3$–$\text{He}^4$ type
    
    TMF, 53:3 (1982),  444–455
30. Behavior of the partition function of Dicke type models in the limit of a large number of atoms
    
    TMF, 51:1 (1982),  73–85
31. 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
32. Application of functional integrals to the theory of heavy atoms
    
    Zap. Nauchn. Sem. LOMI, 120 (1982),  12–20
33. Functional approach to the theory of the metal surface structure
    
    Zap. Nauchn. Sem. LOMI, 120 (1982),  3–11
34. Two-dimensional field theory with several condensed phases
    
    TMF, 46:3 (1981),  325–334
35. Remark on the spectrum structure of the two-dimensional Schrödinger operator with the periodic potential
    
    Zap. Nauchn. Sem. LOMI, 109 (1981),  131–133
36. Functional integral method for the BCS-type models
    
    Zap. Nauchn. Sem. LOMI, 101 (1981),  128–150
37. Functional integral approuch to the theory of crystals
    
    Zap. Nauchn. Sem. LOMI, 101 (1981),  77–89
38. On coexistence of superfluidity and ferromagnetism
    
    Zap. Nauchn. Sem. LOMI, 101 (1981),  3–10
39. 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
40. 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
41. Infrared asymptotics of the Green's function of massive particles in a charge-symmetric model
    
    Zap. Nauchn. Sem. LOMI, 77 (1978),  124–133
42. Theory of one-dimensional Bose gas with point interaction
    
    TMF, 30:3 (1977),  346–352
43. Hydrodynamic action and Bose spectrum of superfluid Fermi systems
    
    TMF, 28:3 (1976),  340–351
44. Hydrodynamic action for a plasma
    
    TMF, 26:2 (1976),  246–255
45. The number of integer points under a parabola
    
    Mat. Zametki, 18:5 (1975),  699–704
46. Some applications of Feynman integrals to the theory of Bose systems
    
    Trudy Mat. Inst. Steklov., 136 (1975),  379–389
47. Diagram technique in the general perturbation theory
    
    Dokl. Akad. Nauk SSSR, 213:1 (1973),  70–73
48. Covariant quantization of the gravitational field
    
    UFN, 111:3 (1973),  427–450
49. On the theory of the superfluidity of two- and one-dimensional bose systems
    
    TMF, 11:3 (1972),  354–365
50. Hydrodynamic Hamiltonian for a nonideal Bose gas
    
    TMF, 11:2 (1972),  236–247
51. 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
52. The error information in the translator TA-1M
    
    Zh. Vychisl. Mat. Mat. Fiz., 9:2 (1969),  482–485
53. 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
54. A programming program
    
    Zh. Vychisl. Mat. Mat. Fiz., 4:1 (1964),  78–95