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
Motovilov, A. K. Alternative proof of the a priori \(\tan \theta\) theorem. (English. Russian original) Zbl 1338.81203 Theor. Math. Phys. 186, No. 1, 83-92 (2016); translation from Teor. Mat. Fiz. 186, No. 1, 101-112 (2016). MSC: 81Q10 81Q15 PDFBibTeX XMLCite \textit{A. K. Motovilov}, Theor. Math. Phys. 186, No. 1, 83--92 (2016; Zbl 1338.81203); translation from Teor. Mat. Fiz. 186, No. 1, 101--112 (2016) Full Text: DOI arXiv
Mennicken, Reinhard; Motovilov, Alexander K. Operator interpretation of resonances arising in spectral problems for \(2\times 2\) operator matrices. (English) Zbl 0932.47010 Math. Nachr. 201, 117-181 (1999). Reviewer: P.Dyshlovenko (Ul’yanovsk) MSC: 47A56 47N50 47A40 PDFBibTeX XMLCite \textit{R. Mennicken} and \textit{A. K. Motovilov}, Math. Nachr. 201, 117--181 (1999; Zbl 0932.47010) Full Text: DOI arXiv
Belyaev, V. B.; Motovilov, A. K. Perturbation of an embedded eigenvalue by a nearby resonance. (English. Russian original) Zbl 0964.81525 Theor. Math. Phys. 111, No. 1, 454-466 (1997); translation from Teor. Mat. Fiz. 111, No. 1, 77-93 (1997). MSC: 81U99 81V55 PDFBibTeX XMLCite \textit{V. B. Belyaev} and \textit{A. K. Motovilov}, Theor. Math. Phys. 111, No. 1, 454--466 (1997; Zbl 0964.81525); translation from Teor. Mat. Fiz. 111, No. 1, 77--93 (1997) Full Text: DOI arXiv
Motovilov, A. K. Representations for the three-body \(T\)-matrix of nonphysical sheets. II. (English. Russian original) Zbl 0928.47052 Theor. Math. Phys. 107, No. 3, 807-824 (1996); translation from Teor. Mat. Fiz. 107, No. 2, 478-500 (1996). MSC: 47N50 81U20 81Q10 47A40 PDFBibTeX XMLCite \textit{A. K. Motovilov}, Theor. Math. Phys. 107, No. 3, 807--824 (1996; Zbl 0928.47052); translation from Teor. Mat. Fiz. 107, No. 2, 478--500 (1996) Full Text: DOI arXiv
Motovilov, A. K. Representations for the three-body \(T\)-matrix on nonphysical sheets. I. (English. Russian original) Zbl 0928.47051 Theor. Math. Phys. 107, No. 3, 784-806 (1996); translation from Teor. Mat. Fiz. 107, No. 3, 450-477 (1996). MSC: 47N50 81U20 47A40 81Q10 PDFBibTeX XMLCite \textit{A. K. Motovilov}, Theor. Math. Phys. 107, No. 3, 784--806 (1996; Zbl 0928.47051); translation from Teor. Mat. Fiz. 107, No. 3, 450--477 (1996) Full Text: DOI arXiv
Motovilov, A. K. Elimination of the energy from interactions that depend on it as a resolvent. (English. Russian original) Zbl 0856.47044 Theor. Math. Phys. 104, No. 2, 989-1007 (1995); translation from Teor. Mat. Fiz. 104, No. 2, 281-303 (1995). MSC: 47N50 81Q10 PDFBibTeX XMLCite \textit{A. K. Motovilov}, Theor. Math. Phys. 104, No. 2, 989--1007 (1995; Zbl 0856.47044); translation from Teor. Mat. Fiz. 104, No. 2, 281--303 (1995) Full Text: DOI arXiv
Motovilov, A. K. Removal of the resolvent-like energy dependence from interactions and invariant subspaces of a total Hamiltonian. (English) Zbl 0884.47056 J. Math. Phys. 36, No. 12, 6647-6664 (1995). MSC: 47N50 81Q10 PDFBibTeX XMLCite \textit{A. K. Motovilov}, J. Math. Phys. 36, No. 12, 6647--6664 (1995; Zbl 0884.47056) Full Text: DOI arXiv
Motovilov, A. K. Algebraic version of extension theory for a quantum system with internal structure. (English. Russian original) Zbl 0808.47054 Theor. Math. Phys. 97, No. 2, 1217-1228 (1993); translation from Teor. Mat. Fiz. 97, No. 2, 163-181 (1993). MSC: 47N50 47A20 PDFBibTeX XMLCite \textit{A. K. Motovilov}, Theor. Math. Phys. 97, No. 2, 163--181 (1993; Zbl 0808.47054); translation from Teor. Mat. Fiz. 97, No. 2, 163--181 (1993) Full Text: DOI
Kuperin, Yu. A.; Makarov, K. A.; Merkuriev, S. P.; Motovilov, A. K.; Pavlov, B. S. Extended Hilbert space approach to few-body problems. (English) Zbl 0704.47047 J. Math. Phys. 31, No. 7, 1681-1690 (1990). MSC: 47N50 81U10 47A40 PDFBibTeX XMLCite \textit{Yu. A. Kuperin} et al., J. Math. Phys. 31, No. 7, 1681--1690 (1990; Zbl 0704.47047) Full Text: DOI
Merkuriev, S. P.; Motovilov, A. K. Faddeev equations for simple-layer potential density. (English) Zbl 0546.35069 Lett. Math. Phys. 7, 497-503 (1983). MSC: 35Q99 81U10 35P25 PDFBibTeX XMLCite \textit{S. P. Merkuriev} and \textit{A. K. Motovilov}, Lett. Math. Phys. 7, 497--503 (1983; Zbl 0546.35069) Full Text: DOI