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Publications in Math-Net.Ru |
Citations |
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2020 |
1. |
S. N. Lakaev, S. Kh. Abdukhakimov, “Threshold effects in a two-fermion system on an optical lattice”, TMF, 203:2 (2020), 251–268 ; Theoret. and Math. Phys., 203:2 (2020), 648–663 |
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2019 |
2. |
S. N. Lakaev, A. T. Boltaev, “Threshold phenomena in the spectrum of the two-particle Schrödinger operator on a lattice”, TMF, 198:3 (2019), 418–432 ; Theoret. and Math. Phys., 198:3 (2019), 363–375 |
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3. |
S. N. Lakaev, M. Darus, S. T. Dustov, “Threshold phenomenon for a family of the generalized Friedrichs models with the perturbation of rank one”, Ufimsk. Mat. Zh., 11:4 (2019), 139–149 ; Ufa Math. J., 11:4 (2019), 140–150 |
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2016 |
4. |
S. N. Lakaev, A. R. Khalmukhamedov, A. M. Khalkhuzhaev, “Bound states of the Schrödinger operator of a system of three bosons on a lattice”, TMF, 188:1 (2016), 36–48 ; Theoret. and Math. Phys., 188:1 (2016), 994–1005 |
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2014 |
5. |
S. N. Lakaev, Sh. U. Alladustov, “Positivity of eigenvalues of the two-particle Schrödinger operator on a lattice”, TMF, 178:3 (2014), 390–402 ; Theoret. and Math. Phys., 178:3 (2014), 336–346 |
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2012 |
6. |
S. N. Lakaev, Sh. Yu. Kholmatov, “Asymptotics of the eigenvalues of a discrete Schrödinger operator with zero-range potential”, Izv. RAN. Ser. Mat., 76:5 (2012), 99–118 ; Izv. Math., 76:5 (2012), 946–966 |
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7. |
S. N. Lakaev, A. M. Khalkhuzhaev, Sh. S. Lakaev, “Asymptotic behavior of an eigenvalue of the two-particle discrete Schrödinger operator”, TMF, 171:3 (2012), 438–451 ; Theoret. and Math. Phys., 171:3 (2012), 800–811 |
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8. |
S. N. Lakaev, S. S. Ulashov, “Existence and analyticity of bound states of a two-particle Schrödinger operator on a lattice”, TMF, 170:3 (2012), 393–408 ; Theoret. and Math. Phys., 170:3 (2012), 326–340 |
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2011 |
9. |
S. N. Lakaev, Sh. M. Latipov, “Existence and analyticity of eigenvalues of a two-channel molecular resonance model”, TMF, 169:3 (2011), 341–351 ; Theoret. and Math. Phys., 169:3 (2011), 1658–1667 |
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2009 |
10. |
S. N. Lakaev, I. N. Bozorov, “The number of bound states of a one-particle Hamiltonian on a three-dimensional lattice”, TMF, 158:3 (2009), 425–443 ; Theoret. and Math. Phys., 158:3 (2009), 360–376 |
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11. |
S. N. Lakaev, A. M. Khalkhuzhaev, “The number of eigenvalues of the two-particle discrete Schrödinger
operator”, TMF, 158:2 (2009), 263–276 ; Theoret. and Math. Phys., 158:2 (2009), 221–232 |
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2008 |
12. |
S. N. Lakaev, A. M. Khalkhuzhaev, “Spectrum of the two-particle Schrödinger operator on a lattice”, TMF, 155:2 (2008), 287–300 ; Theoret. and Math. Phys., 155:2 (2008), 754–765 |
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2003 |
13. |
S. N. Lakaev, Z. I. Muminov, “The Asymptotics of the Number of Eigenvalues of a Three-Particle Lattice Schrödinger Operator”, Funktsional. Anal. i Prilozhen., 37:3 (2003), 80–84 ; Funct. Anal. Appl., 37:3 (2003), 228–231 |
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14. |
S. N. Lakaev, T. H. Rasulov, “Efimov's Effect in a Model of Perturbation Theory of the Essential Spectrum”, Funktsional. Anal. i Prilozhen., 37:1 (2003), 81–84 ; Funct. Anal. Appl., 37:1 (2003), 69–71 |
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15. |
S. N. Lakaev, T. H. Rasulov, “A Model in the Theory of Perturbations of the Essential Spectrum of Multiparticle Operators”, Mat. Zametki, 73:4 (2003), 556–564 ; Math. Notes, 73:4 (2003), 521–528 |
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16. |
Zh. I. Abdullaev, S. N. Lakaev, “Asymptotics of the Discrete Spectrum of the Three-Particle Schrödinger Difference Operator on a Lattice”, TMF, 136:2 (2003), 231–245 ; Theoret. and Math. Phys., 136:2 (2003), 1096–1109 |
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17. |
S. N. Lakaev, M. I. Muminov, “Essential and Discrete Spectra of the Three-Particle Schrödinger Operator on a Lattice”, TMF, 135:3 (2003), 478–503 ; Theoret. and Math. Phys., 135:3 (2003), 849–871 |
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2002 |
18. |
S. A. Albeverio, S. N. Lakaev, Zh. I. Abdullaev, “On the Finiteness of the Discrete Spectrum of a Four-Particle Lattice Schrödinger Operator”, Funktsional. Anal. i Prilozhen., 36:3 (2002), 56–60 ; Funct. Anal. Appl., 36:3 (2002), 212–216 |
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19. |
S. N. Lakaev, Zh. I. Abdullaev, “Spectrum of the Three-Particle Schrödinger Difference Operator on a Lattice”, Mat. Zametki, 71:5 (2002), 686–696 ; Math. Notes, 71:5 (2002), 624–633 |
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20. |
S. N. Lakaev, S. M. Samatov, “Conditions for the finiteness of the discrete spectrum of the Hamiltonian of a system of three arbitrary particles on a lattice”, Uspekhi Mat. Nauk, 57:1(343) (2002), 155–156 ; Russian Math. Surveys, 57:1 (2002), 150–152 |
1
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2001 |
21. |
S. N. Lakaev, S. M. Samatov, “Finiteness of the Discrete Spectrum of the Hamiltonian of a System of Three Arbitrary Particles on a Lattice”, TMF, 129:3 (2001), 415–431 ; Theoret. and Math. Phys., 129:3 (2001), 1655–1668 |
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1999 |
22. |
S. N. Lakaev, Zh. I. Abdullaev, “Spectral Properties of the Three-Particle Difference Schrödinger Operator”, Funktsional. Anal. i Prilozhen., 33:2 (1999), 84–88 ; Funct. Anal. Appl., 33:2 (1999), 151–153 |
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23. |
S. N. Lakaev, M. Kh. Shermatov, “The spectrum of the Hamiltonian of a system of three quantum particles on a lattice”, Uspekhi Mat. Nauk, 54:6(330) (1999), 165–166 ; Russian Math. Surveys, 54:6 (1999), 1250–1251 |
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1998 |
24. |
S. N. Lakaev, Zh. I. Abdullaev, “Spectrum of the four-particle Schrödinger operator with paired contact interactions on a lattice”, Uspekhi Mat. Nauk, 53:3(321) (1998), 201–202 ; Russian Math. Surveys, 53:3 (1998), 630–632 |
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1997 |
25. |
Zh. I. Abdullaev, S. N. Lakaev, “Finiteness of discrete spectrum of three particle Schrödinger operator on the lattice”, TMF, 111:1 (1997), 94–108 ; Theoret. and Math. Phys., 111:1 (1997), 467–479 |
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1995 |
26. |
Zh. I. Abullaev, I. A. Ikromov, S. N. Lakaev, “Embedded eigenvalues and resonances of a generalized Friedrichs model”, TMF, 103:1 (1995), 54–62 ; Theoret. and Math. Phys., 103:1 (1995), 390–397 |
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1994 |
27. |
S. N. Lakaev, Sh. M. Tilavova, “Merging of eigenvalues and resonances of a two-particle Schrödinger operator”, TMF, 101:2 (1994), 235–252 ; Theoret. and Math. Phys., 101:2 (1994), 1320–1331 |
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1993 |
28. |
S. N. Lakaev, “On Efimov's Effect in a System of Three Identical Quantum Particles”, Funktsional. Anal. i Prilozhen., 27:3 (1993), 15–28 ; Funct. Anal. Appl., 27:3 (1993), 166–175 |
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1992 |
29. |
S. N. Lakaev, “Bound states and resonances of $N$-particle discrete Schrödinger operator”, TMF, 91:1 (1992), 51–65 ; Theoret. and Math. Phys., 91:1 (1992), 362–372 |
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1991 |
30. |
S. N. Lakaev, “On the infinite number of three-particle bound states of a system of three quantum lattice particles”, TMF, 89:1 (1991), 94–104 ; Theoret. and Math. Phys., 89:1 (1991), 1079–1086 |
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1983 |
31. |
S. N. Lakaev, “Structure of the resonances of the generalized friedrichs model”, Funktsional. Anal. i Prilozhen., 17:4 (1983), 88–89 ; Funct. Anal. Appl., 17:4 (1983), 317–319 |
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1980 |
32. |
S. N. Lakaev, “Discrete spectrum and resonances of a one-dimensional Schrödinger operator for small values of the coupling constants”, TMF, 44:3 (1980), 381–386 ; Theoret. and Math. Phys., 44:3 (1980), 810–814 |
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1979 |
33. |
S. N. Lakaev, R. A. Minlos, “Bound states of a cluster operator”, TMF, 39:1 (1979), 83–93 ; Theoret. and Math. Phys., 39:1 (1979), 336–342 |
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