Lakaev, Saidakhmat N.; Akhmadova, Mukhayyo O. The number and location of eigenvalues for the two-particle Schrödinger operators on lattices. (English) Zbl 07724021 Complex Anal. Oper. Theory 17, No. 6, Paper No. 92, 20 p. (2023). Reviewer: Miyeon Kwon (Platteville) MSC: 47B93 PDFBibTeX XMLCite \textit{S. N. Lakaev} and \textit{M. O. Akhmadova}, Complex Anal. Oper. Theory 17, No. 6, Paper No. 92, 20 p. (2023; Zbl 07724021) Full Text: DOI arXiv
Lakaev, Saidakhmat N.; Motovilov, Alexander K.; Kh Abdukhakimov, Saidakbar Two-fermion lattice Hamiltonian with first and second nearest-neighboring-site interactions. (English) Zbl 07717011 J. Phys. A, Math. Theor. 56, No. 31, Article ID 315202, 23 p. (2023). MSC: 82-XX 81-XX PDFBibTeX XMLCite \textit{S. N. Lakaev} et al., J. Phys. A, Math. Theor. 56, No. 31, Article ID 315202, 23 p. (2023; Zbl 07717011) Full Text: DOI arXiv
Lakaev, S. N.; Boltaev, A. T. The essential spectrum of a three particle Schrödinger operator on lattices. (English) Zbl 1527.81057 Lobachevskii J. Math. 44, No. 3, 1176-1187 (2023). MSC: 81Q10 70H05 70F07 35P15 81V73 81P47 39A12 PDFBibTeX XMLCite \textit{S. N. Lakaev} and \textit{A. T. Boltaev}, Lobachevskii J. Math. 44, No. 3, 1176--1187 (2023; Zbl 1527.81057) Full Text: DOI
Lakaev, S. N.; Boltaev, A. T.; Almuratov, F. M. On the discrete spectra of Schrödinger-type operators on one dimensional lattices. (English) Zbl 1510.81068 Lobachevskii J. Math. 43, No. 3, 770-783 (2022). MSC: 81Q10 82B20 82B41 35P10 35J10 PDFBibTeX XMLCite \textit{S. N. Lakaev} et al., Lobachevskii J. Math. 43, No. 3, 770--783 (2022; Zbl 1510.81068) Full Text: DOI
Kholmatov, Shokhrukh Yu.; Lakaev, Saidakhmat N.; Almuratov, Firdavsjon M. On the spectrum of Schrödinger-type operators on two dimensional lattices. (English) Zbl 1498.81076 J. Math. Anal. Appl. 514, No. 2, Article ID 126363, 31 p. (2022). MSC: 81Q10 81Q35 81U30 35B34 47A10 35P10 PDFBibTeX XMLCite \textit{S. Yu. Kholmatov} et al., J. Math. Anal. Appl. 514, No. 2, Article ID 126363, 31 p. (2022; Zbl 1498.81076) Full Text: DOI arXiv
Lakaev, S. N.; Kurbanov, Sh. Kh.; Alladustov, Sh. U. Convergent expansions of eigenvalues of the generalized Friedrichs model with a rank-one perturbation. (English) Zbl 1480.81047 Complex Anal. Oper. Theory 15, No. 8, Paper No. 121, 16 p. (2021). MSC: 81Q10 81Q35 47A10 81U30 35B34 35P05 40A05 PDFBibTeX XMLCite \textit{S. N. Lakaev} et al., Complex Anal. Oper. Theory 15, No. 8, Paper No. 121, 16 p. (2021; Zbl 1480.81047) Full Text: DOI arXiv
Lakaev, S. N.; Abdukhakimov, S. H. Threshold effects in a two-fermion system on an optical lattice. (English. Russian original) Zbl 1445.81019 Theor. Math. Phys. 203, No. 2, 648-663 (2020); translation from Teor. Mat. Fiz. 203, No. 2, 251-268 (2020). MSC: 81Q05 81Q10 81V74 81V45 35P05 46L57 PDFBibTeX XMLCite \textit{S. N. Lakaev} and \textit{S. H. Abdukhakimov}, Theor. Math. Phys. 203, No. 2, 648--663 (2020; Zbl 1445.81019); translation from Teor. Mat. Fiz. 203, No. 2, 251--268 (2020) Full Text: DOI
Lakaev, S. N.; Boltaev, A. T. Threshold phenomena in the spectrum of the two-particle Schrödinger operator on a lattice. (English. Russian original) Zbl 1419.81012 Theor. Math. Phys. 198, No. 3, 363-375 (2019); translation from Teor. Mat. Fiz. 198, No. 3, 418-432 (2019). MSC: 81Q10 39A12 35J10 81Q35 81U30 35P05 PDFBibTeX XMLCite \textit{S. N. Lakaev} and \textit{A. T. Boltaev}, Theor. Math. Phys. 198, No. 3, 363--375 (2019; Zbl 1419.81012); translation from Teor. Mat. Fiz. 198, No. 3, 418--432 (2019) Full Text: DOI
Bach, V.; de Siqueira Pedra, W.; Lakaev, S. N. Bounds on the discrete spectrum of lattice Schrödinger operators. (English) Zbl 1382.81094 J. Math. Phys. 59, No. 2, 022109, 25 p. (2018). MSC: 81Q10 39A12 81Q20 PDFBibTeX XMLCite \textit{V. Bach} et al., J. Math. Phys. 59, No. 2, 022109, 25 p. (2018; Zbl 1382.81094) Full Text: DOI arXiv
Lakaev, S. N.; Khalmukhamedov, A. R.; Khalkhuzhaev, A. M. Bound states of the Schrödinger operator of a system of three bosons on a lattice. (English. Russian original) Zbl 1348.81238 Theor. Math. Phys. 188, No. 1, 994-1005 (2016); translation from Teor. Mat. Fiz. 188, No. 1, 36-48 (2016). MSC: 81Q10 81V70 81Q35 PDFBibTeX XMLCite \textit{S. N. Lakaev} et al., Theor. Math. Phys. 188, No. 1, 994--1005 (2016; Zbl 1348.81238); translation from Teor. Mat. Fiz. 188, No. 1, 36--48 (2016) Full Text: DOI arXiv
Lakaev, S. N.; Alladustov, Sh. U. Positivity of eigenvalues of the two-particle Schrödinger operator on a lattice. (English. Russian original) Zbl 1298.81086 Theor. Math. Phys. 178, No. 3, 336-346 (2014); translation from Teor. Mat. Fiz. 178, No. 3, 390-402 (2014). MSC: 81Q10 81Q35 39A12 PDFBibTeX XMLCite \textit{S. N. Lakaev} and \textit{Sh. U. Alladustov}, Theor. Math. Phys. 178, No. 3, 336--346 (2014; Zbl 1298.81086); translation from Teor. Mat. Fiz. 178, No. 3, 390--402 (2014) Full Text: DOI
Lakaev, S. N.; Ulashov, S. S. Existence and analyticity of bound states of a two-particle Schrödinger operator on a lattice. (English. Russian original) Zbl 1274.81084 Theor. Math. Phys. 170, No. 3, 326-340 (2012); translation from Teor. Mat. Fiz. 170, No. 3, 393-408 (2012). MSC: 81Q05 81Q10 70F05 39A12 PDFBibTeX XMLCite \textit{S. N. Lakaev} and \textit{S. S. Ulashov}, Theor. Math. Phys. 170, No. 3, 326--340 (2012; Zbl 1274.81084); translation from Teor. Mat. Fiz. 170, No. 3, 393--408 (2012) Full Text: DOI
Lakaev, S. N.; Bozorov, I. N. The number of bound states of a one-particle Hamiltonian on a three-dimensional lattice. (English. Russian original) Zbl 1175.81100 Theor. Math. Phys. 158, No. 3, 360-376 (2009); translation from Teor. Mat. Fiz. 158, No. 3, 425-443 (2009). MSC: 81Q05 82D25 PDFBibTeX XMLCite \textit{S. N. Lakaev} and \textit{I. N. Bozorov}, Theor. Math. Phys. 158, No. 3, 360--376 (2009; Zbl 1175.81100); translation from Teor. Mat. Fiz. 158, No. 3, 425--443 (2009) Full Text: DOI
Lakaev, S. N.; Khalkhuzhaev, A. M. The number of eigenvalues of the two-particle discrete Schrödinger operator. (English. Russian original) Zbl 1174.81004 Theor. Math. Phys. 158, No. 2, 221-232 (2009); translation from Teor. Mat. Fiz. 158, No. 2, 263-276 (2009). MSC: 81Q10 PDFBibTeX XMLCite \textit{S. N. Lakaev} and \textit{A. M. Khalkhuzhaev}, Theor. Math. Phys. 158, No. 2, 221--232 (2009; Zbl 1174.81004); translation from Teor. Mat. Fiz. 158, No. 2, 263--276 (2009) Full Text: DOI
Albeverio, Sergio; Lakaev, Saidakhmat N.; Djumanova, Ramiza Kh. The essential and discrete spectrum of a model operator associated to a system of three identical quantum particles. (English) Zbl 1180.81061 Rep. Math. Phys. 63, No. 3, 359-380 (2009). MSC: 81Q10 47B25 47N50 PDFBibTeX XMLCite \textit{S. Albeverio} et al., Rep. Math. Phys. 63, No. 3, 359--380 (2009; Zbl 1180.81061) Full Text: DOI arXiv
Lakaev, S. N.; Khalkhuzhaev, A. M. Spectrum of the two-particle Schrödinger operator on a lattice. (English. Russian original) Zbl 1146.81027 Theor. Math. Phys. 155, No. 2, 754-765 (2008); translation from Teor. Mat. Fiz. 155, No. 2, 287-300 (2008). MSC: 81Q10 70F05 35J10 65N22 PDFBibTeX XMLCite \textit{S. N. Lakaev} and \textit{A. M. Khalkhuzhaev}, Theor. Math. Phys. 155, No. 2, 754--765 (2008; Zbl 1146.81027); translation from Teor. Mat. Fiz. 155, No. 2, 287--300 (2008) Full Text: DOI
Albeverio, S.; Lakaev, S. N.; Muminov, Z. I. On the number of eigenvalues of a model operator associated to a system of three-particles on lattices. (English) Zbl 1176.81045 Russ. J. Math. Phys. 14, No. 4, 377-387 (2007). MSC: 81Q10 47B25 47N50 82D20 70F07 PDFBibTeX XMLCite \textit{S. Albeverio} et al., Russ. J. Math. Phys. 14, No. 4, 377--387 (2007; Zbl 1176.81045) Full Text: DOI
Albeverio, Sergio; Lakaev, Saidakhmat N.; Rasulov, Tulkin H. On the spectrum of an Hamiltonian in Fock space. Discrete spectrum asymptotics. (English) Zbl 1126.81022 J. Stat. Phys. 127, No. 2, 191-220 (2007). MSC: 81Q10 47A10 PDFBibTeX XMLCite \textit{S. Albeverio} et al., J. Stat. Phys. 127, No. 2, 191--220 (2007; Zbl 1126.81022) Full Text: DOI arXiv
Albeverio, Sergio; Lakaev, Saidakhmat N.; Muminov, Zahriddin I. The threshold effects for a family of Friedrichs models under rank one perturbations. (English) Zbl 1115.81023 J. Math. Anal. Appl. 330, No. 2, 1152-1168 (2007). MSC: 81Q10 PDFBibTeX XMLCite \textit{S. Albeverio} et al., J. Math. Anal. Appl. 330, No. 2, 1152--1168 (2007; Zbl 1115.81023) Full Text: DOI arXiv
Albeverio, S.; Lakaev, S. N.; Makarov, K. A.; Muminov, Z. I. The threshold effects for the two-particle Hamiltonians on lattices. (English) Zbl 1116.81020 Commun. Math. Phys. 262, No. 1, 91-115 (2006). Reviewer: Hideo Yamagata (Osaka) MSC: 81Q10 47N50 47A10 PDFBibTeX XMLCite \textit{S. Albeverio} et al., Commun. Math. Phys. 262, No. 1, 91--115 (2006; Zbl 1116.81020) Full Text: DOI arXiv
Albeverio, Sergio; Lakaev, Saidakhmat N.; Abdullaev, Janikul I. On the finiteness of the discrete spectrum of four-particle lattice Schrödinger operators. (English) Zbl 1042.81015 Rep. Math. Phys. 51, No. 1, 43-70 (2003). MSC: 81Q10 47N50 47B25 70F10 PDFBibTeX XMLCite \textit{S. Albeverio} et al., Rep. Math. Phys. 51, No. 1, 43--70 (2003; Zbl 1042.81015) Full Text: DOI arXiv
Lakaev, S. N.; Abdullaev, J. I. Spectral properties of the three-particle difference Schrödinger operator. (English. Russian original) Zbl 0951.35032 Funct. Anal. Appl. 33, No. 2, 151-153 (1999); translation from Funkts. Anal. Prilozh. 33, No. 2, 84-88 (1999). Reviewer: P.Craciunas (Iaşi) MSC: 35J10 35P05 47F05 47A10 81Q05 PDFBibTeX XMLCite \textit{S. N. Lakaev} and \textit{J. I. Abdullaev}, Funct. Anal. Appl. 33, No. 2, 151--153 (1999; Zbl 0951.35032); translation from Funkts. Anal. Prilozh. 33, No. 2, 84--88 (1999) Full Text: DOI