Muminov, Mukhiddin I.; Rasulov, Tulkin H.; Tosheva, Nargiza A. Analysis of the discrete Spectrum of the family SPECTRUM of \(3\times 3\) operator matrices. (English) Zbl 1453.81029 Commun. Math. Anal. 23, No. 1, 17-37 (2020). MSC: 81Q10 35P20 47N50 PDF BibTeX XML Cite \textit{M. I. Muminov} et al., Commun. Math. Anal. 23, No. 1, 17--37 (2020; Zbl 1453.81029) Full Text: Euclid
Ibrogimov, Orif O. Spectral analysis of the spin-boson Hamiltonian with two bosons for arbitrary coupling and bounded dispersion relation. (English) Zbl 1453.81026 Rev. Math. Phys. 32, No. 6, Article ID 2050015, 28 p. (2020). MSC: 81Q10 47A10 70F07 47G10 PDF BibTeX XML Cite \textit{O. O. Ibrogimov}, Rev. Math. Phys. 32, No. 6, Article ID 2050015, 28 p. (2020; Zbl 1453.81026) Full Text: DOI
Muminov, Mukhiddin I.; Ghoshal, S. K. Spectral attributes of self-adjoint Fredholm operators in Hilbert space: a rudimentary insight. (English) Zbl 07081905 Complex Anal. Oper. Theory 13, No. 3, 1313-1323 (2019). MSC: 47Axx 35Pxx PDF BibTeX XML Cite \textit{M. I. Muminov} and \textit{S. K. Ghoshal}, Complex Anal. Oper. Theory 13, No. 3, 1313--1323 (2019; Zbl 07081905) Full Text: DOI
Albeverio, Sergio; Figari, Rodolfo Quantum fields and point interactions. (English) Zbl 1414.81267 Rend. Mat. Appl., VII. Ser. 39, No. 2, 161-180 (2018). MSC: 81V19 81Q10 81Q15 47B25 70F07 46N50 PDF BibTeX XML Cite \textit{S. Albeverio} and \textit{R. Figari}, Rend. Mat. Appl., VII. Ser. 39, No. 2, 161--180 (2018; Zbl 1414.81267) Full Text: Link
Kholmatov, Shokhrukh Yu; Muminov, Zahriddin I. Existence of bound states of \(N\)-body problem in an optical lattice. (English) Zbl 1396.81081 J. Phys. A, Math. Theor. 51, No. 26, Article ID 265202, 24 p. (2018). MSC: 81Q05 81Q10 70F10 78A37 PDF BibTeX XML Cite \textit{S. Y. Kholmatov} and \textit{Z. I. Muminov}, J. Phys. A, Math. Theor. 51, No. 26, Article ID 265202, 24 p. (2018; Zbl 1396.81081) Full Text: DOI
Simon, Barry Tosio Kato’s work on non-relativistic quantum mechanics. I. (English) Zbl 1416.81063 Bull. Math. Sci. 8, No. 1, 121-232 (2018). Reviewer: Heinz Siedentop (München) MSC: 81Q10 81U05 47A55 35Q40 46N50 81Q15 01A70 PDF BibTeX XML Cite \textit{B. Simon}, Bull. Math. Sci. 8, No. 1, 121--232 (2018; Zbl 1416.81063) Full Text: DOI
Basti, Giulia; Teta, Alessandro Efimov effect for a three-particle system with two identical fermions. (English) Zbl 1380.81098 Ann. Henri Poincaré 18, No. 12, 3975-4003 (2017). MSC: 81Q05 81S05 70F07 PDF BibTeX XML Cite \textit{G. Basti} and \textit{A. Teta}, Ann. Henri Poincaré 18, No. 12, 3975--4003 (2017; Zbl 1380.81098) Full Text: DOI
Moser, Thomas; Seiringer, Robert Stability of a fermionic \({N+ 1}\) particle system with point interactions. (English) Zbl 1375.81260 Commun. Math. Phys. 356, No. 1, 329-355 (2017). MSC: 81V70 81S05 81Q05 82C24 PDF BibTeX XML Cite \textit{T. Moser} and \textit{R. Seiringer}, Commun. Math. Phys. 356, No. 1, 329--355 (2017; Zbl 1375.81260) Full Text: DOI
Moser, Thomas; Seiringer, Robert Triviality of a model of particles with point interactions in the thermodynamic limit. (English) Zbl 1364.81121 Lett. Math. Phys. 107, No. 3, 533-552 (2017). MSC: 81Q10 46N50 82B10 81T28 81T27 82C22 PDF BibTeX XML Cite \textit{T. Moser} and \textit{R. Seiringer}, Lett. Math. Phys. 107, No. 3, 533--552 (2017; Zbl 1364.81121) Full Text: DOI arXiv
Muminov, M. E.; Shermatova, Yo. M. On finiteness of discrete spectrum of three-particle Schrödinger operator on a lattice. (English. Russian original) Zbl 1336.81036 Russ. Math. 60, No. 1, 22-29 (2016); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2016, No. 1, 27-35 (2016). MSC: 81Q10 81Q05 81Q35 81V17 82D25 PDF BibTeX XML Cite \textit{M. E. Muminov} and \textit{Yo. M. Shermatova}, Russ. Math. 60, No. 1, 22--29 (2016; Zbl 1336.81036); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2016, No. 1, 27--35 (2016) Full Text: DOI
Muminov, Mukhiddin I.; Rasulov, Tulkin H. On the eigenvalues of a \(2\times 2\) block operator matrix. (English) Zbl 1329.81181 Opusc. Math. 35, No. 3, 371-395 (2015). MSC: 81Q10 35P20 47N50 PDF BibTeX XML Cite \textit{M. I. Muminov} and \textit{T. H. Rasulov}, Opusc. Math. 35, No. 3, 371--395 (2015; Zbl 1329.81181) Full Text: DOI
Ber, A. F.; Levitina, G. B.; Chilin, V. I. Derivations with values in quasi-normed bimodules of locally measurable operators. (Russian, English) Zbl 1340.47073 Mat. Tr. 17, No. 1, 3-18 (2014); translation in Sib. Adv. Math. 25, No. 3, 169-178 (2015). MSC: 47B47 47L20 PDF BibTeX XML Cite \textit{A. F. Ber} et al., Mat. Tr. 17, No. 1, 3--18 (2014; Zbl 1340.47073); translation in Sib. Adv. Math. 25, No. 3, 169--178 (2015) Full Text: DOI
Muminov, Zahriddin; Ismail, Fudziah; Eshkuvatov, Zainidin; Rasulov, Jamshid On the discrete spectrum of a model operator in fermionic Fock space. (English) Zbl 1433.81086 Abstr. Appl. Anal. 2013, Article ID 875194, 12 p. (2013). MSC: 81Q10 47A10 PDF BibTeX XML Cite \textit{Z. Muminov} et al., Abstr. Appl. Anal. 2013, Article ID 875194, 12 p. (2013; Zbl 1433.81086) Full Text: DOI
Abdullaev, J. I.; Mamirov, B. U. Asymptotic behavior of eigenvalues of the two-particle discrete Schrödinger operator. (English. Russian original) Zbl 1286.81076 Theor. Math. Phys. 176, No. 3, 1184-1193 (2013); translation from Teor. Mat. Fiz. 176, No. 3, 417-428 (2013). MSC: 81Q10 39A12 PDF BibTeX XML Cite \textit{J. I. Abdullaev} and \textit{B. U. Mamirov}, Theor. Math. Phys. 176, No. 3, 1184--1193 (2013; Zbl 1286.81076); translation from Teor. Mat. Fiz. 176, No. 3, 417--428 (2013) Full Text: DOI
Gridnev, Dmitry K. Why there is no Efimov effect for four bosons and related results on the finiteness of the discrete spectrum. (English) Zbl 1302.81100 J. Math. Phys. 54, No. 4, 042105, 41 p. (2013). Reviewer: Monika Winklmeier (Bogotá) MSC: 81Q10 81V70 PDF BibTeX XML Cite \textit{D. K. Gridnev}, J. Math. Phys. 54, No. 4, 042105, 41 p. (2013; Zbl 1302.81100) Full Text: DOI arXiv
Muminov, M. É.; Aliev, N. M. Spectrum of the three-particle Schrödinger operator on a one-dimensional lattice. (English. Russian original) Zbl 1282.81081 Theor. Math. Phys. 171, No. 3, 754-768 (2012); translation from Teor. Mat. Fiz. 171, No. 3, 387-403 (2012). MSC: 81Q05 70F07 81Q10 PDF BibTeX XML Cite \textit{M. É. Muminov} and \textit{N. M. Aliev}, Theor. Math. Phys. 171, No. 3, 754--768 (2012; Zbl 1282.81081); translation from Teor. Mat. Fiz. 171, No. 3, 387--403 (2012) Full Text: DOI
Éshkabilov, Yu. Kh. The Efimov effect for a model “three-particle” discrete Schrödinger operator. (English. Russian original) Zbl 1256.81044 Theor. Math. Phys. 164, No. 1, 896-904 (2010); translation from Teor. Mat. Fiz. 164, No. 1, 78-87 (2010). MSC: 81Q10 81Q05 39A12 70F07 PDF BibTeX XML Cite \textit{Yu. Kh. Éshkabilov}, Theor. Math. Phys. 164, No. 1, 896--904 (2010; Zbl 1256.81044); translation from Teor. Mat. Fiz. 164, No. 1, 78--87 (2010) Full Text: DOI arXiv
Tashpulatov, S. M. Spectrum of the energy operator of a two-magnon system in the three-dimensional isotropic Heisenberg ferromagnet model with impurity. (English. Russian original) Zbl 1196.81125 Theor. Math. Phys. 162, No. 2, 188-200 (2010); translation from Teor. Mat. Fiz. 162, No. 2, 227-242 (2010). MSC: 81Q10 82D25 82B20 82D40 PDF BibTeX XML Cite \textit{S. M. Tashpulatov}, Theor. Math. Phys. 162, No. 2, 188--200 (2010; Zbl 1196.81125); translation from Teor. Mat. Fiz. 162, No. 2, 227--242 (2010) Full Text: DOI
Muminov, M. E. The infiniteness of the number of eigenvalues in the gap in the essential spectrum for the three-particle Schrödinger operator on a lattice. (English. Russian original) Zbl 1173.81007 Theor. Math. Phys. 159, No. 2, 667-683 (2009); translation from Teor. Mat. Fiz. 159, No. 2, 299-317 (2009). MSC: 81Q10 70F07 35J10 PDF BibTeX XML Cite \textit{M. E. Muminov}, Theor. Math. Phys. 159, No. 2, 667--683 (2009; Zbl 1173.81007); translation from Teor. Mat. Fiz. 159, No. 2, 299--317 (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 PDF BibTeX XML Cite \textit{S. Albeverio} et al., Rep. Math. Phys. 63, No. 3, 359--380 (2009; Zbl 1180.81061) Full Text: DOI arXiv
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
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 PDF BibTeX XML Cite \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 PDF BibTeX XML Cite \textit{S. Albeverio} et al., J. Stat. Phys. 127, No. 2, 191--220 (2007; Zbl 1126.81022) 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 PDF BibTeX XML Cite \textit{S. Albeverio} et al., Commun. Math. Phys. 262, No. 1, 91--115 (2006; Zbl 1116.81020) Full Text: DOI arXiv
Wang, Xue Ping; Wang, Yuefei Existence of two-cluster threshold resonances and the \(N\)-body Efimov effect. (English) Zbl 1111.81146 J. Math. Phys. 46, No. 11, 112106, 12 p. (2005). MSC: 81U10 81Q10 PDF BibTeX XML Cite \textit{X. P. Wang} and \textit{Y. Wang}, J. Math. Phys. 46, No. 11, 112106, 12 p. (2005; Zbl 1111.81146) Full Text: DOI
Damanik, David; Killip, Rowan; Simon, Barry Schrödinger operators with few bound states. (English) Zbl 1082.47029 Commun. Math. Phys. 258, No. 3, 741-750 (2005). Reviewer: Takashi Ichinose (Kanazawa) MSC: 47B39 47A10 81Q10 47N50 35J10 35P05 PDF BibTeX XML Cite \textit{D. Damanik} et al., Commun. Math. Phys. 258, No. 3, 741--750 (2005; Zbl 1082.47029) Full Text: DOI arXiv
Wang, Xue Ping On the existence of the \(N\)-body Efimov effect. (English) Zbl 1059.81061 J. Funct. Anal. 209, No. 1, 137-161 (2004). Reviewer: Tuncay Aktosun (Mississippi State) MSC: 81Q10 81U10 46E35 46E39 PDF BibTeX XML Cite \textit{X. P. Wang}, J. Funct. Anal. 209, No. 1, 137--161 (2004; Zbl 1059.81061) Full Text: DOI arXiv
Abdullaev, Zh. I.; Lakaev, S. N. Finiteness of the discrete spectrum of the three-particle Schrödinger equation on a lattice. (English. Russian original) Zbl 0964.47505 Theor. Math. Phys. 111, No. 1, 467-479 (1997); translation from Teor. Mat. Fiz. 111, No. 1, 94-108 (1997). MSC: 47N50 81Q10 47A10 PDF BibTeX XML Cite \textit{Zh. I. Abdullaev} and \textit{S. N. Lakaev}, Theor. Math. Phys. 111, No. 1, 467--479 (1997; Zbl 0964.47505); translation from Teor. Mat. Fiz. 111, No. 1, 94--108 (1997) Full Text: DOI
Vugalter, S. Absence of the Efimov effect in a homogeneous magnetic field. (English) Zbl 0848.47045 Lett. Math. Phys. 37, No. 1, 79-94 (1996). MSC: 47N50 81V10 PDF BibTeX XML Cite \textit{S. Vugalter}, Lett. Math. Phys. 37, No. 1, 79--94 (1996; Zbl 0848.47045) Full Text: DOI
Pinchover, Yehuda On the localization of binding for Schrödinger operators and its extensions to elliptic operators. (English) Zbl 0859.35082 J. Anal. Math. 66, 57-83 (1995). Reviewer: J.Asch (Marseille) MSC: 35P15 35J10 35B20 35Q40 PDF BibTeX XML Cite \textit{Y. Pinchover}, J. Anal. Math. 66, 57--83 (1995; Zbl 0859.35082) Full Text: DOI
Coutinho, F. A. B.; Perez, J. Fernando; Wreszinski, Walter F. A variational proof of the Thomas effect. (English) Zbl 0829.47061 J. Math. Phys. 36, No. 4, 1625-1635 (1995). MSC: 47N50 81T10 PDF BibTeX XML Cite \textit{F. A. B. Coutinho} et al., J. Math. Phys. 36, No. 4, 1625--1635 (1995; Zbl 0829.47061) Full Text: DOI
Lakaev, S. N. On Efimov’s effect in a system of three identical quantum particles. (English. Russian original) Zbl 0844.47041 Funct. Anal. Appl. 27, No. 3, 166-175 (1993); translation from Funkts. Anal. Prilozh. 27, No. 3, 15-28 (1993). Reviewer: G.Roepstorff (Aachen) MSC: 47N50 81Q10 PDF BibTeX XML Cite \textit{S. N. Lakaev}, Funct. Anal. Appl. 27, No. 3, 1 (1993; Zbl 0844.47041); translation from Funkts. Anal. Prilozh. 27, No. 3, 15--28 (1993) Full Text: DOI
Sobolev, A. V. The Efimov effect. Discrete spectrum asymptotics. (English) Zbl 0785.35070 Commun. Math. Phys. 156, No. 1, 101-126 (1993). Reviewer: D.R.Yafaev (Rennes) MSC: 35P20 81Q10 PDF BibTeX XML Cite \textit{A. V. Sobolev}, Commun. Math. Phys. 156, No. 1, 101--126 (1993; Zbl 0785.35070) Full Text: DOI
Tamura, Hideo The Efimov effect of three-body Schrödinger operators: Asymptotics for the number of negative eigenvalues. (English) Zbl 0827.35099 Nagoya Math. J. 130, 55-83 (1993). Reviewer: S.L.Edelstein (Rostov-na-Donu) MSC: 35P25 47A10 81U10 PDF BibTeX XML Cite \textit{H. Tamura}, Nagoya Math. J. 130, 55--83 (1993; Zbl 0827.35099) Full Text: DOI
Evans, W. D.; Lewis, Roger T.; Saitō, Yoshimi Some geometric spectral properties of N-body Schrödinger operators. (English) Zbl 0727.35101 Arch. Ration. Mech. Anal. 113, No. 4, 377-400 (1991). Reviewer: Ya.A.Rojtberg (Chernigov) MSC: 35P15 35J10 81U10 PDF BibTeX XML Cite \textit{W. D. Evans} et al., Arch. Ration. Mech. Anal. 113, No. 4, 377--400 (1991; Zbl 0727.35101) Full Text: DOI