Muminov, Mukhiddin I.; Ghoshal, S. K. Spectral features of two-particle Schrödinger operator on \(d\)-dimensional lattice. (Spectral features of two-particle Schrödinger operator on \(d\)-dimensiional lattice.) (English) Zbl 1431.81066 Complex Anal. Oper. Theory 14, No. 1, Paper No. 11, 18 p. (2020). MSC: 81Q35 PDF BibTeX XML Cite \textit{M. I. Muminov} and \textit{S. K. Ghoshal}, Complex Anal. Oper. Theory 14, No. 1, Paper No. 11, 18 p. (2020; Zbl 1431.81066) Full Text: DOI OpenURL
Lakaev, S. N.; Bozorov, I. N. Number of eigenvalues and their location of the two particle Hamiltonians on lattices. (English) Zbl 07382338 Uzb. Math. J. 2019, No. 3, 85-95 (2019). MSC: 58C40 81Q10 PDF BibTeX XML Cite \textit{S. N. Lakaev} and \textit{I. N. Bozorov}, Uzb. Math. J. 2019, No. 3, 85--95 (2019; Zbl 07382338) Full Text: DOI OpenURL
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 PDF BibTeX XML Cite \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 OpenURL
Muminov, M. E.; Khurramov, A. M. On compact perturbation of two-particle Schrödinger operator on a lattice. (English. Russian original) Zbl 1320.81054 Russ. Math. 59, No. 6, 18-22 (2015); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2015, No. 6, 24-30 (2015). MSC: 81Q05 81Q10 81Q35 82D25 PDF BibTeX XML Cite \textit{M. E. Muminov} and \textit{A. M. Khurramov}, Russ. Math. 59, No. 6, 18--22 (2015; Zbl 1320.81054); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2015, No. 6, 24--30 (2015) Full Text: DOI OpenURL
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 PDF BibTeX XML Cite \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 OpenURL
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 PDF BibTeX XML Cite \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 OpenURL
Muminov, M. E. Finiteness of the discrete spectrum of the Schrödinger operator of three particles on a lattice. (English. Russian original) Zbl 1150.81005 Theor. Math. Phys. 154, No. 2, 311-318 (2008); translation from Teor. Mat. Fiz. 154, No. 2, 363-371 (2008). MSC: 81Q10 49S05 70F07 35B34 65N06 35J10 PDF BibTeX XML Cite \textit{M. E. Muminov}, Theor. Math. Phys. 154, No. 2, 311--318 (2008; Zbl 1150.81005); translation from Teor. Mat. Fiz. 154, No. 2, 363--371 (2008) Full Text: DOI OpenURL
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 PDF BibTeX XML Cite \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 OpenURL
Lakaev, S. N.; Tilavova, Sh. M. Merging of eigenvalues and resonances of a two-particle Schrödinger operator. (English. Russian original) Zbl 0875.35089 Theor. Math. Phys. 101, No. 2, 1320-1331 (1994); translation from Teor. Mat. Fiz. 101, No. 2, 235-252 (1994). MSC: 35Q40 81Q10 81U05 PDF BibTeX XML Cite \textit{S. N. Lakaev} and \textit{Sh. M. Tilavova}, Theor. Math. Phys. 101, No. 2, 1320--1331 (1994; Zbl 0875.35089); translation from Teor. Mat. Fiz. 101, No. 2, 235--252 (1994) Full Text: DOI OpenURL
Vugal’ter, S. A. On the finiteness of the discrete spectrum of the Schrödinger operator for a three-particle system with unstable two-particle subsystems in a homogeneous magnetic field. (English. Russian original) Zbl 0836.47050 Funct. Anal. Appl. 27, No. 2, 144-145 (1993); translation from Funkts. Anal. Prilozh. 27, No. 2, 83-84 (1993). Reviewer: H.Yamagata (Osaka) MSC: 47N50 35J10 47A50 46N50 PDF BibTeX XML Cite \textit{S. A. Vugal'ter}, Funct. Anal. Appl. 27, No. 2, 1 (1993; Zbl 0836.47050); translation from Funkts. Anal. Prilozh. 27, No. 2, 83--84 (1993) Full Text: DOI OpenURL
Abdullaev, Zh. I.; Lakaev, S. N. On the spectral properties of the matrix-valued Friedrichs model. (English) Zbl 0761.47025 Many particle Hamiltonians: spectra and scattering, Adv. Sov. Math. 5, 1-37 (1991). Reviewer: L.Rodino (Torino) MSC: 47G10 47A40 47A55 PDF BibTeX XML Cite \textit{Zh. I. Abdullaev} and \textit{S. N. Lakaev}, in: Many particle Hamiltonians: spectra and scattering, Adv. Sov. Math. 5, . 1--37 (1991; Zbl 0761.47025) OpenURL