Galimzyanov, Bulat N.; Mokshin, Anatolii V. Three-particle correlations in liquid and amorphous aluminium. (English) Zbl 1400.82300 Physica A 478, 103-112 (2017). MSC: 82D35 82D30 82D15 82C22 PDF BibTeX XML Cite \textit{B. N. Galimzyanov} and \textit{A. V. Mokshin}, Physica A 478, 103--112 (2017; Zbl 1400.82300) Full Text: DOI
Khalkhuzhaev, A. M. The essential spectrum of the three-particle discrete operator corresponding to a system of three fermions on a lattice. (English. Russian original) Zbl 1382.81099 Russ. Math. 61, No. 9, 67-78 (2017); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2017, No. 9, 76-88 (2017). MSC: 81Q10 70F07 81Q35 81S05 35P05 PDF BibTeX XML Cite \textit{A. M. Khalkhuzhaev}, Russ. Math. 61, No. 9, 67--78 (2017; Zbl 1382.81099); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2017, No. 9, 76--88 (2017) Full Text: DOI
Edvardsson, S.; Karlsson, K.; Olin, H. corr3p_tr: a particle approach for the general three-body problem. (English) Zbl 1351.81008 Comput. Phys. Commun. 200, 259-273 (2016). MSC: 81-04 35Q41 81V70 81Q05 PDF BibTeX XML Cite \textit{S. Edvardsson} et al., Comput. Phys. Commun. 200, 259--273 (2016; Zbl 1351.81008) Full Text: DOI
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 PDF BibTeX XML Cite \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
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, M. E.; Aliev, N. M. Discrete spectrum of a noncompact perturbation of a three-particle Schrödinger operator on a lattice. (English. Russian original) Zbl 1319.81038 Theor. Math. Phys. 182, No. 3, 381-396 (2015); translation from Teor. Mat. Fiz. 182, No. 3, 435-452 (2015). MSC: 81Q10 81Q05 81Q35 82D25 PDF BibTeX XML Cite \textit{M. E. Muminov} and \textit{N. M. Aliev}, Theor. Math. Phys. 182, No. 3, 381--396 (2015; Zbl 1319.81038); translation from Teor. Mat. Fiz. 182, No. 3, 435--452 (2015) Full Text: DOI
Aliev, N. M.; Muminov, M. È. On the spectrum of the three-particle Hamiltonian on a unidimensional lattice. (Russian, English) Zbl 1374.81052 Mat. Tr. 17, No. 2, 3-22 (2014); translation in Sib. Adv. Math. 25, No. 3, 155-168 (2015). MSC: 81Q10 81Q05 70F07 PDF BibTeX XML Cite \textit{N. M. Aliev} and \textit{M. È. Muminov}, Mat. Tr. 17, No. 2, 3--22 (2014; Zbl 1374.81052); translation in Sib. Adv. Math. 25, No. 3, 155--168 (2015) Full Text: DOI
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
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
Lakaev, S. N.; Muminov, Z. I. The asymptotics of the number of eigenvalues of a three-particle lattice Schrödinger operator. (English. Russian original) Zbl 1054.81019 Funct. Anal. Appl. 37, No. 3, 228-231 (2003); translation from Funkts. Anal. Prilozh. 37, No. 3, 80-84 (2003). MSC: 81Q10 35P20 47A10 PDF BibTeX XML Cite \textit{S. N. Lakaev} and \textit{Z. I. Muminov}, Funct. Anal. Appl. 37, No. 3, 228--231 (2003; Zbl 1054.81019); translation from Funkts. Anal. Prilozh. 37, No. 3, 80--84 (2003) Full Text: DOI
Han, Yongjian; Zhang, Yongsheng; Guo, Guangcan \(W\) state and Greenberger-Horne-Zeilinger state in quantum three-person prisoner’s dilemma. (English) Zbl 1039.81505 Phys. Lett., A 295, No. 2-3, 61-64 (2002). MSC: 81P15 91A80 PDF BibTeX XML Cite \textit{Y. Han} et al., Phys. Lett., A 295, No. 2--3, 61--64 (2002; Zbl 1039.81505) Full Text: DOI
Mahmoud, G. M.; Bountis, T.; Ahmed, S. A. Stability analysis for systems of nonlinear Hill’s equations. (English) Zbl 1053.34518 Physica A 286, No. 1-2, 133-146 (2000). MSC: 34K20 70F07 PDF BibTeX XML Cite \textit{G. M. Mahmoud} et al., Physica A 286, No. 1--2, 133--146 (2000; Zbl 1053.34518) Full Text: DOI
Yakovlev, S. L. Faddeev differential equations as a spectral problem for a nonsymmetric operator. (English. Russian original) Zbl 0930.47046 Theor. Math. Phys. 107, No. 3, 835-847 (1996); translation from Teor. Mat. Fiz. 107, No. 3, 513-528 (1996). MSC: 47N50 47A75 81U10 PDF BibTeX XML Cite \textit{S. L. Yakovlev}, Theor. Math. Phys. 107, No. 3, 835--847 (1996; Zbl 0930.47046); translation from Teor. Mat. Fiz. 107, No. 3, 513--528 (1996) Full Text: DOI
Makarov, K. A.; Melezhik, V. V.; Motovilov, A. K. Point interactions in the problem of three quantum particles with internal structure. (English. Russian original) Zbl 0853.45002 Theor. Math. Phys. 102, No. 2, 188-207 (1995); translation from Teor. Mat. Fiz. 102, No. 2, 258-282 (1995). MSC: 45E10 35Q40 81U05 PDF BibTeX XML Cite \textit{K. A. Makarov} et al., Theor. Math. Phys. 102, No. 2, 188--207 (1995; Zbl 0853.45002); translation from Teor. Mat. Fiz. 102, No. 2, 258--282 (1995) Full Text: DOI
Rañada, Manuel F. Integrable three-particle systems, hidden symmetries and deformations of the Calogero-Moser system. (English) Zbl 0844.58033 J. Math. Phys. 36, No. 7, 3541-3558 (1995). MSC: 37J99 70F07 70H33 PDF BibTeX XML Cite \textit{M. F. Rañada}, J. Math. Phys. 36, No. 7, 3541--3558 (1995; Zbl 0844.58033) Full Text: DOI
Kostrykin, V. V.; Merkur’ev, S. P. The trace formula for a system of three particles in an external electric field. (English. Russian original) Zbl 0734.35066 Leningr. Math. J. 1, No. 2, 409-422 (1990); translation from Algebra Anal. 1, No. 2, 103-113 (1989). Reviewer: N.A.Lar’kin (Novosibirsk) MSC: 35P25 81U10 47A40 35J10 PDF BibTeX XML Cite \textit{V. V. Kostrykin} and \textit{S. P. Merkur'ev}, Leningr. Math. J. 1, No. 2, 409--422 (1990; Zbl 0734.35066); translation from Algebra Anal. 1, No. 2, 103--113 (1989)
Vakulenko, A. F. On a variant of commutator estimates in spectral theory. (English. Russian original) Zbl 0695.47003 J. Sov. Math. 49, No. 5, 1136-1139 (1990); translation from Zap. Nauchn. Semin. Leningr. Otd. Mat. Inst. Steklova 163, 29-36 (1987). MSC: 47A10 47A40 47B47 PDF BibTeX XML Cite \textit{A. F. Vakulenko}, J. Sov. Math. 49, No. 5, 1136--1139 (1990; Zbl 0695.47003); translation from Zap. Nauchn. Semin. Leningr. Otd. Mat. Inst. Steklova 163, 29--36 (1987) Full Text: DOI EuDML
Minlos, R. A. On the point interaction of three particles. (English) Zbl 0738.47008 Applications of self-adjoint extensions in quantum physics, Proc. Conf., Dubna/ USSR 1987, Lect. Notes Phys. 324, 138-145 (1989). MSC: 47A20 47N50 47B25 PDF BibTeX XML
Vakulenko, A. F. On a variant of commutator estimates in spectral theory. (Russian) Zbl 0649.47002 Zap. Nauchn. Semin. Leningr. Otd. Mat. Inst. Steklova 163, 29-36 (1987). Reviewer: P.C.Sinha MSC: 47A10 47A40 47B47 PDF BibTeX XML Cite \textit{A. F. Vakulenko}, Zap. Nauchn. Semin. Leningr. Otd. Mat. Inst. Steklova 163, 29--36 (1987; Zbl 0649.47002) Full Text: EuDML
Mukhtarova, M. I.; Efros, V. D. The basis of three-particle hyperspherical harmonics in ‘democratic’ variables. (English) Zbl 0632.70016 J. Phys. A 19, 1589-1596 (1986). MSC: 70H99 70F07 81P99 PDF BibTeX XML Cite \textit{M. I. Mukhtarova} and \textit{V. D. Efros}, J. Phys. A, Math. Gen. 19, 1589--1596 (1986; Zbl 0632.70016) Full Text: DOI
Van Winter, Clasine The resolvent of a dilation-analytic three-particle system. (English) Zbl 0618.47009 J. Math. Anal. Appl. 101, 195-267 (1984). MSC: 47A40 47A10 81U10 PDF BibTeX XML Cite \textit{C. Van Winter}, J. Math. Anal. Appl. 101, 195--267 (1984; Zbl 0618.47009) Full Text: DOI
Toda, Morikazu Theory of nonlinear lattices. (English) Zbl 0465.70014 Springer Series in Solid-State Sciences, Vol. 20. Berlin-Heidelberg-New York: Springer-Verlag. X, 205 p., 38 figs. DM 69.00; $ 31.40 (1981). MSC: 70F10 70-02 70K99 65Z05 70G10 PDF BibTeX XML
Merkur’ev, S. P. An S-matrix regularization of the trace formula for a three-particle system. (English) Zbl 0415.70009 J. Sov. Math. 12, 446-474 (1979). MSC: 70F10 PDF BibTeX XML Cite \textit{S. P. Merkur'ev}, J. Sov. Math. 12, 446--474 (1979; Zbl 0415.70009) Full Text: DOI
Toda, Morikazu Nonlinear lattice dynamics. (Japanese) Zbl 0502.70013 Tokyo: Iwanami Shoten, Publishers. XI, 195 p. (1978). MSC: 70F10 70-02 70K99 65Z05 70G10 PDF BibTeX XML