Yafaev Dmitrii Rauel'evich

Publications in Math-Net.Ru

1. Universal relations in asymptotic formulas for orthogonal polynomials
   
   Funktsional. Anal. i Prilozhen., 55:2 (2021),  77–99
2. Second-Order Differential Operators in the Limit Circle Case
   
   SIGMA, 17 (2021), 077, 13 pp.
3. A new representation of Hankel operators and its spectral consequences
   
   Algebra i Analiz, 30:3 (2018),  286–310
4. Passage through a potential barrier and multiple wells
   
   Algebra i Analiz, 29:2 (2017),  242–273
5. Spectral and scattering theory for perturbations of the Carleman operator
   
   Algebra i Analiz, 25:2 (2013),  251–278
6. On the mathematical works of M. Sh. Birman
   
   Algebra i Analiz, 23:1 (2011),  5–60
7. The semiclassical limit of eigenfunctions of the Schrödinger equation and the Bohr–Sommerfeld quantization condition, revisited
   
   Algebra i Analiz, 22:6 (2010),  270–291
8. A Commutator Method for the Diagonalization of Hankel Operators
   
   Funktsional. Anal. i Prilozhen., 44:4 (2010),  65–79
9. The Schrödinger Operator: Perturbation Determinants, the Spectral Shift Function, Trace Identities, and All That
   
   Funktsional. Anal. i Prilozhen., 41:3 (2007),  60–83
10. Scattering on magnetic fields
    
    Algebra i Analiz, 17:5 (2005),  244–272
11. A class of pseudodifferential operators with oscillating symbols
    
    Algebra i Analiz, 11:2 (1999),  218–256
12. New scattering channels in a two-body system with slowly decreasing interaction
    
    Algebra i Analiz, 8:1 (1996),  211–236
13. The scattering matrix for a perturbation of a periodic Schrödinger operator by decreasing potential
    
    Algebra i Analiz, 6:3 (1994),  17–39
14. Spectral properties of the scattering matrix
    
    Algebra i Analiz, 4:6 (1992),  1–27
15. The spectral shift function. The papers of M. G. Krein and their further development
    
    Algebra i Analiz, 4:5 (1992),  1–44
16. Asymptotic of the limit phases in a problem of potential scattering
    
    Funktsional. Anal. i Prilozhen., 24:4 (1990),  94–95
17. Spectral properties of an abstract scattering matrix
    
    Trudy Mat. Inst. Steklov., 188 (1990),  125–149
18. Spectral properties of the scattering matrix
    
    Funktsional. Anal. i Prilozhen., 23:3 (1989),  88–89
19. On the trace-class method in potential scattering theory
    
    Zap. Nauchn. Sem. LOMI, 171 (1989),  12–35
20. Quasiclassical asymptotics of the scattering cross-section for the Schrödinger equation
    
    Izv. Akad. Nauk SSSR Ser. Mat., 52:1 (1988),  139–163
21. Eikonal approximation for the Schrödinger equation
    
    Trudy Mat. Inst. Steklov., 179 (1988),  226–240
22. Quasiclassical asymptotics of the scattering amplitude and cross section
    
    Dokl. Akad. Nauk SSSR, 292:2 (1987),  334–337
23. Eikonal approximation for fast-decreasing potentials. I
    
    Zap. Nauchn. Sem. LOMI, 163 (1987),  166–185
24. Scattering theory in a pair of spaces
    
    Funktsional. Anal. i Prilozhen., 20:2 (1986),  94–95
25. Phase analysis in the problem of scattering by a radial potential
    
    Zap. Nauchn. Sem. LOMI, 147 (1985),  155–178
26. On resonant scattering by a negative potential
    
    Zap. Nauchn. Sem. LOMI, 138 (1984),  184–193
27. Remarks on the spectral theory for the Schrodinger operator of multiparticle type
    
    Zap. Nauchn. Sem. LOMI, 133 (1984),  277–298
28. The virial theorem and conditions for wave operators to be unitary in scattering by a nonstationary potential
    
    Trudy Mat. Inst. Steklov., 159 (1983),  210–217
29. The evolution operator for time-dependent potentials of zero radius
    
    Trudy Mat. Inst. Steklov., 159 (1983),  167–174
30. Dissipation at low energies for slowly decreasing potentials
    
    Dokl. Akad. Nauk SSSR, 263:3 (1982),  586–590
31. Spectral properties of the Schrödinger operator with a potential having a slow falloff
    
    Funktsional. Anal. i Prilozhen., 16:4 (1982),  47–54
32. Scattering subspaces and asymptotic completeness for the time-dependent Schrödinger equation
    
    Mat. Sb. (N.S.), 118(160):2(6) (1982),  262–279
33. Asymptotic behavior of the limiting phase shifts in the case of scattering by a potential without spherical symmetry
    
    TMF, 51:1 (1982),  44–53
34. Nonstationary scattering theory for elliptic differential operators
    
    Zap. Nauchn. Sem. LOMI, 115 (1982),  285–300
35. Faster-than-power decrease in time of solutions of the Schrödinger equation
    
    Dokl. Akad. Nauk SSSR, 258:4 (1981),  850–853
36. Counterexample to a uniqueness theorem foranalytic operator functions
    
    Zap. Nauchn. Sem. LOMI, 113 (1981),  261–263
37. Asymptotics of the spectrum of the scattering matrix
    
    Zap. Nauchn. Sem. LOMI, 110 (1981),  3–29
38. Asymptotics of the spectrum of the $S$-matrix in potential scattering
    
    Dokl. Akad. Nauk SSSR, 255:5 (1980),  1085–1087
39. Asymptotic completeness for the multidimensional time-dependent Schrödinger equation
    
    Dokl. Akad. Nauk SSSR, 251:4 (1980),  812–816
40. Conditions for the unitarity of wave operators under a scattering by a nonstationary potential
    
    Funktsional. Anal. i Prilozhen., 14:4 (1980),  91–92
41. On the asymptotic behavior of solutions of the time-dependent Schrödinger equation
    
    Mat. Sb. (N.S.), 111(153):2 (1980),  187–208
42. A trace formula in Friedrichs' multichannel model
    
    Trudy Mat. Inst. Steklov., 147 (1980),  194–201
43. Spectral theory and scattering for the d'Alembert operator with vector potential
    
    Trudy Mat. Inst. Steklov., 147 (1980),  5–13
44. Wave operators for the Schrödinger equation
    
    TMF, 45:2 (1980),  224–234
45. “Eigenfunctions” of the nonstationary Schrödinger equation
    
    TMF, 43:2 (1980),  228–239
46. On the violation of unitarity in time-dependent potential scattering
    
    Dokl. Akad. Nauk SSSR, 243:5 (1978),  1150–1153
47. On the singular spectrum in a system of three particles
    
    Mat. Sb. (N.S.), 106(148):4(8) (1978),  622–640
48. Theory of multichannel scattering in two spaces
    
    TMF, 37:1 (1978),  48–57
49. Potential scattering taking account of spatial anisotropy
    
    Dokl. Akad. Nauk SSSR, 235:4 (1977),  749–752
50. Theory of potential scattering, taking into account spatial anisotropy
    
    Zap. Nauchn. Sem. LOMI, 73 (1977),  35–51
51. Traces on surfaces for function classes with dominant mixed derivatives
    
    Zap. Nauchn. Sem. LOMI, 69 (1977),  106–123
52. On the point spectrum in the quantum-mechanical many-body problem
    
    Izv. Akad. Nauk SSSR Ser. Mat., 40:4 (1976),  908–948
53. On the number of discrete levels in the quantum problem of three particles
    
    TMF, 27:1 (1976),  55–66
54. On the finiteness of the discrete spectrum of the three-particle Schrödinger operator
    
    TMF, 25:2 (1975),  185–195
55. On the virtual state of Schrödinger equation
    
    Zap. Nauchn. Sem. LOMI, 51 (1975),  203–216
56. A remark concerning the theory of scattering for a perturbed polyharmonic operator
    
    Mat. Zametki, 15:3 (1974),  445–454
57. On the theory of the discrete spectrum of the three-particle Schrödinger operator
    
    Mat. Sb. (N.S.), 94(136):4(8) (1974),  567–593
58. The discrete spectrum of the three-particle Schrödinger operator
    
    Dokl. Akad. Nauk SSSR, 206:1 (1972),  68–70
59. The point spectrum in the quantum-mechanical problem of many particles
    
    Funktsional. Anal. i Prilozhen., 6:4 (1972),  103–104
60. Trace formulas for charged particles in nonrelativistic quantum mechanics
    
    TMF, 11:1 (1972),  78–92
61. Negative spectrum of the Schrödinger operational equation
    
    Mat. Zametki, 7:6 (1970),  753–763


62. Mikhail Zakharovich Solomyak (obituary)
    
    Uspekhi Mat. Nauk, 72:5(437) (2017),  181–186
63. Mikhail Shlemovich Birman (obituary)
    
    Uspekhi Mat. Nauk, 65:3(393) (2010),  185–190
64. Mikhail Shlemovich Birman (on the Occasion of his 75th Birthday)
    
    Algebra i Analiz, 16:1 (2004),  5–14
65. Mikhail Shlyomovich Birman (on his 70th birthday)
    
    Uspekhi Mat. Nauk, 55:1(331) (2000),  204–207
66. Schrödinger Operators with Application to Quantum Mechanics and Global Geometry. H. L. Cycon, R. G. Froese, W. Kirsch, B. Simon. Berlin etc.: Springer, 1987. 319 p.
    
    Algebra i Analiz, 1:3 (1989),  227–232
67. Mikhail Shlëmovich Birman (on his sixtieth birthday)
    
    Uspekhi Mat. Nauk, 43:3(261) (1988),  201–202