Functional Analysis, Spectal Theory of self-adjoint linear operators, mathematical physics, quant mechanics, models of few-particle systems, spectral analysis of Hamiltonians of few-particle systems
S. M. Tashpulatov, “Structure of essential spectrum and discrete spectra of the
energy operator of five-electron systems in the Hubbard model.
Fourth quartet state”, Dal'nevost. Mat. Zh., 23:1 (2023), 112–133
2.
S. M. Tashpulatov, R. T. Parmanova, “Structure of the essential spectrum and discrete spectrum of the energy operator of four-electron systems in the impurity Hubbard model. The third triplet state”, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 229 (2023), 53–82
3.
S. M. Tashpulatov, “The Structure of the Essential Spectrum and the Discrete Spectrum of the Energy Operator for Six-Electron Systems in the Hubbard Model. The Second Singlet State”, Trudy Inst. Mat. i Mekh. UrO RAN, 29:3 (2023), 210–230; Proc. Steklov Inst. Math. (Suppl.), 323, suppl. 1 (2023), S279–S299
4.
S. M. Tashpulatov, “Structure of essential spectra and discrete spectrum of the energy operator of six-electron systems in the Hubbard model. Second singlet state”, Taurida Journal of Computer Science Theory and Mathematics, 2023, no. 2, 98–124
2021
5.
S. M. Tashpulatov, R. T. Parmanova, “Structure of essential spectra and discrete spectrum of the energy operator of four-electron systems in the impurity Hubbard model. Quintet state. One-dimensional case”, Taurida Journal of Computer Science Theory and Mathematics, 2021, no. 3, 14–34
2019
6.
S. M. Tashpulatov, “Spectra of the energy operator of three-electron systems in the impurity Hubbard model. Second doublet state”, CMFD, 65:1 (2019), 109–123
S. M. Tashpulatov, “Spectral properties of three-electron systems in the Hubbard model”, TMF, 179:3 (2014), 387–405; Theoret. and Math. Phys., 179:3 (2014), 712–728
S. M. Tashpulatov, “Spectrum of Two-Magnon non-Heisenberg Ferromagnetic Model of Arbitrary Spin with Impurity”, Zh. Mat. Fiz. Anal. Geom., 9:2 (2013), 239–265
2010
9.
S. M. Tashpulatov, “Spectrum of the energy operator of two-magnon systems in the isotropic Heisenberg ferromagnet model with impurity”, TMF, 164:3 (2010), 464–472; Theoret. and Math. Phys., 164:3 (2010), 1222–1229
10.
S. M. Tashpulatov, “Spectrum of the energy operator of a two-magnon system in the three-dimensional isotropic Heisenberg ferromagnet model with impurity”, TMF, 162:2 (2010), 227–242; Theoret. and Math. Phys., 162:2 (2010), 188–200
S. M. Tashpulatov, “One-magnon systems in an isotropic non-Heisenberg ferromagnetic impurity model”, TMF, 142:1 (2005), 83–92; Theoret. and Math. Phys., 142:1 (2005), 71–78
S. M. Tashpulatov, “Spectra and Localized Impurity States of One-Magnon Systems in the Heisenberg Isotropic Ferromagnetic Impurity Model”, TMF, 126:3 (2001), 482–488; Theoret. and Math. Phys., 126:3 (2001), 403–408
S. M. Tashpulatov, “Spectra and bound states of the energy operator of two-magnon systems in a non-Heisenberg ferromagnet with spin one and nearest-neighbor coupling”, TMF, 125:2 (2000), 282–296; Theoret. and Math. Phys., 125:2 (2000), 1539–1551
S. M. Tashpulatov, “Two-magnon systems in the one-dimensional non-Heisenberg ferromagnet with the interaction up to three neighbours with a spin value $s=1$”, TMF, 107:2 (1996), 262–268; Theoret. and Math. Phys., 107:2 (1996), 629–634
S. M. Tashpulatov, “Two-magnon systems in the one-dimensional non-Heisenberg ferromagnet with nearest neighbours and second nearest neighbours interaction with spin value $s=1$”, TMF, 107:2 (1996), 251–261; Theoret. and Math. Phys., 107:2 (1996), 620–628
S. M. Tashpulatov, “Exploration of spectrum of the energy operator of two-magnon system in the one-dimensional anisotropic Heisenberg ferromagnet with interaction of second neighbours”, TMF, 107:1 (1996), 155–161; Theoret. and Math. Phys., 107:1 (1996), 544–549