Buslaev, Vladimir; Pushnitski, Alexander The scattering matrix and associated formulas in Hamiltonian mechanics. (English) Zbl 1218.37072 Commun. Math. Phys. 293, No. 2, 563-588 (2010). Reviewer: Yuri E. Gliklikh (Voronezh) MSC: 37J05 37J10 34L25 35P25 81U20 PDF BibTeX XML Cite \textit{V. Buslaev} and \textit{A. Pushnitski}, Commun. Math. Phys. 293, No. 2, 563--588 (2010; Zbl 1218.37072) Full Text: DOI arXiv OpenURL
Buslaev, V. S.; Levin, S. B.; Neittaanmäki, P.; Ojala, T. New approach to numerical computation of the eigenfunctions of the continuous spectrum of three-particle Schrödinger operator. I: One-dimensional particles, short-range pair potentials. (English) Zbl 1193.81111 J. Phys. A, Math. Theor. 43, No. 28, Article ID 285205, 17 p. (2010). MSC: 81U10 34L25 PDF BibTeX XML Cite \textit{V. S. Buslaev} et al., J. Phys. A, Math. Theor. 43, No. 28, Article ID 285205, 17 p. (2010; Zbl 1193.81111) Full Text: DOI arXiv OpenURL
Buslaev, V. S.; Strazdin, V. Yu. One-dimensional Schrödinger operator on the half-line: the differential equation for eigenfunctions with respect to the spectral parameter and an analog of the Freud equation. (English) Zbl 1168.34367 Funct. Anal. Appl. 41, No. 3, 237-240 (2007); translation from Funkts. Anal. Prilozh. 41, No. 3, 84-88 (2007). MSC: 34L40 34L05 PDF BibTeX XML Cite \textit{V. S. Buslaev} and \textit{V. Yu. Strazdin}, Funct. Anal. Appl. 41, No. 3, 237--240 (2007; Zbl 1168.34367); translation from Funkts. Anal. Prilozh. 41, No. 3, 84--88 (2007) Full Text: DOI OpenURL
Buslaev, V. S.; Buslaeva, M. V.; Grigis, A. Adiabatic asymptotics of the reflection coefficient. (English. Russian original) Zbl 1084.34026 St. Petersbg. Math. J. 16, No. 3, 437-452 (2005); translation from Algebra Anal. 16, No. 3, 1-23 (2004). Reviewer: Manfred Möller (Johannesburg) MSC: 34B24 34E05 34E20 PDF BibTeX XML Cite \textit{V. S. Buslaev} et al., St. Petersbg. Math. J. 16, No. 3, 437--452 (2005; Zbl 1084.34026); translation from Algebra Anal. 16, No. 3, 1--23 (2004) Full Text: DOI OpenURL
Buslaev, V. S. Asymptotic comparison of differential equations. (English. Russian original) Zbl 1055.34104 St. Petersbg. Math. J. 14, No. 4, 535-547 (2003); translation from Algebra Anal. 14, No. 4, 1-18 (2002). Reviewer: Dobiesław Bobrowski (Poznań) MSC: 34E20 34A30 34E10 PDF BibTeX XML Cite \textit{V. S. Buslaev}, St. Petersbg. Math. J. 14, No. 4, 1--18 (2003; Zbl 1055.34104); translation from Algebra Anal. 14, No. 4, 1--18 (2002) OpenURL
Buslaev, V. S. Kronig-Penney electron in a homogeneous electric field. (English) Zbl 0935.34072 Buslaev, V. (ed.) et al., Differential operators and spectral theory. M. Sh. Birman’s 70th anniversary collection. Providence, RI: American Mathematical Society. Transl., Ser. 2, Am. Math. Soc. 189(41), 45-57 (1999). Reviewer: T.Regińska (Warszawa) MSC: 34L40 PDF BibTeX XML Cite \textit{V. S. Buslaev}, Transl., Ser. 2, Am. Math. Soc. 189, 45--57 (1999; Zbl 0935.34072) OpenURL
Buslaev, Vladimir; Grigis, Alain Imagrinary parts of Stark-Wannier resonances. (English) Zbl 1001.34075 J. Math. Phys. 39, No. 5, 2520-2550 (1998). MSC: 34L40 81Q20 34L05 81U05 PDF BibTeX XML Cite \textit{V. Buslaev} and \textit{A. Grigis}, J. Math. Phys. 39, No. 5, 2520--2550 (1998; Zbl 1001.34075) Full Text: DOI OpenURL
Buslaev, V. S.; Fedotov, A. A. The Harper equation: Monodromization without quasiclassics. (English. Russian original) Zbl 0866.34071 St. Petersbg. Math. J. 8, No. 2, 231-254 (1997); translation from Algebra Anal. 8, No. 2, 65-97 (1996). MSC: 34L40 81Q05 34E20 PDF BibTeX XML Cite \textit{V. S. Buslaev} and \textit{A. A. Fedotov}, St. Petersbg. Math. J. 8, No. 2, 65--97 (1996; Zbl 0866.34071); translation from Algebra Anal. 8, No. 2, 65--97 (1996) OpenURL
Buslaev, V. S.; Fedotov, A. A. The Harper equation: Monodromization without quasiclassics. (Russian) Zbl 0849.34066 Algebra Anal. 8, No. 2, 65-97 (1996). Reviewer: L.A.Sakhnovich (Odessa) MSC: 34L40 81Q05 34E20 PDF BibTeX XML Cite \textit{V. S. Buslaev} and \textit{A. A. Fedotov}, Algebra Anal. 8, No. 2, 65--97 (1996; Zbl 0849.34066) OpenURL
Buslaev, Vladimir; Fedotov, Alexander The functional structure of the monodromy matrix for Harper’s equation. (English) Zbl 0816.34058 Demuth, Michael (ed.) et al., Mathematical results in quantum mechanics: International conference in Blossin (Germany), May 17-21, 1993. Basel: Birkhäuser Verlag. Oper. Theory, Adv. Appl. 70, 321-342 (1994). Reviewer: Jiang Furu (Shanghai) MSC: 34L40 81Q05 34E20 PDF BibTeX XML Cite \textit{V. Buslaev} and \textit{A. Fedotov}, in: Mathematical results in quantum mechanics: International conference in Blossin (Germany), May 17-21, 1993. Basel: Birkhäuser Verlag. 321--342 (1994; Zbl 0816.34058) OpenURL
Buslaev, V. S.; Fedotov, A. A. The complex WKB method for Harper’s equation. I. (English. Russian original) Zbl 0839.34066 St. Petersbg. Math. J. 6, No. 3, 495-517 (1995); translation from Algebra Anal. 6, No. 3, 59-83 (1994). MSC: 34E20 PDF BibTeX XML Cite \textit{V. S. Buslaev} and \textit{A. A. Fedotov}, St. Petersbg. Math. J. 6, No. 3, 59--83 (1994; Zbl 0839.34066); translation from Algebra Anal. 6, No. 3, 59--83 (1994) OpenURL
Buslaev, V. S.; Fedotov, A. A. Complex WKB method for Harper’s equation. (Russian) Zbl 0821.34062 Algebra Anal. 6, No. 3, 59-83 (1994). Reviewer: A.G.Baskakov (Voronezh) MSC: 34E20 PDF BibTeX XML Cite \textit{V. S. Buslaev} and \textit{A. A. Fedotov}, Algebra Anal. 6, No. 3, 59--83 (1994; Zbl 0821.34062) OpenURL
Buslaev, V.; Fedotov, A. Monodromization and the Harper equation. (English) Zbl 0880.34082 Sémin. Équ. Dériv. Partielles, Éc. Polytech., Cent. Math., Palaiseau Sémin. 1993-1994, Exp. No. 21, 21 p. (1994). Reviewer: V.C.Boffi (Roma) MSC: 34L05 34L40 34M99 PDF BibTeX XML Cite \textit{V. Buslaev} and \textit{A. Fedotov}, Sémin. Équ. Dériv. Partielles, Éc. Polytech., Cent. Math. Laurent Schwartz, Palaiseau, Exp. No. 21, 21\,p. (1994; Zbl 0880.34082) Full Text: EuDML OpenURL
Buslaev, V. S. Spectral properties of adiabatically perturbed differential operators with periodic coefficients. (English) Zbl 0726.34068 Recent developments in quantum mechanics, Proc. Conf., Braşov/Rom. 1989, Math. Phys. Stud. 12, 97-112 (1991). MSC: 34L20 PDF BibTeX XML OpenURL
Buslaev, V. S.; Dmitrieva, L. A. A Bloch electron in an external field. (English. Russian original) Zbl 0726.34070 Leningr. Math. J. 1, No. 2, 287-320 (1990); translation from Algebra Anal. 1, No. 2, 1-29 (1989). MSC: 34L25 81U30 PDF BibTeX XML Cite \textit{V. S. Buslaev} and \textit{L. A. Dmitrieva}, Leningr. Math. J. 1, No. 2, 287--320 (1990; Zbl 0726.34070); translation from Algebra Anal. 1, No. 2, 1--29 (1989) OpenURL
Buslaev, V. S.; Dmitrieva, L. A. Bloch electrons in an external electric field. (English) Zbl 0725.34097 Schrödinger operators, standard and non-standard, Proc. Conf., Dubna/USSR 1988, 103-129 (1989). MSC: 34L40 81Q05 PDF BibTeX XML OpenURL
Buslaev, V. S.; Dmitrieva, L. A. Bloch electron in an external field. (Russian) Zbl 0714.34128 Algebra Anal. 1, No. 2, 1-29 (1989). Reviewer: W.Müller MSC: 34L25 81U30 PDF BibTeX XML Cite \textit{V. S. Buslaev} and \textit{L. A. Dmitrieva}, Algebra Anal. 1, No. 2, 1--29 (1989; Zbl 0714.34128) OpenURL
Buslaev, V. S.; Dmitrieva, L. A. Adiabatic perturbation of a periodic potential. II. (Russian. English summary) Zbl 0643.34068 Teor. Mat. Fiz. 73, No. 3, 430-442 (1987). MSC: 34E20 PDF BibTeX XML Cite \textit{V. S. Buslaev} and \textit{L. A. Dmitrieva}, Teor. Mat. Fiz. 73, No. 3, 430--442 (1987; Zbl 0643.34068) OpenURL
Buslaev, V. S.; Sukhanov, V. V. On the asymptotic behavior as t\(\to \infty\) of the solutions of the equation \(\psi _{xx}+u(x,t)\psi +(\lambda /4)\psi =0\) with potential u satisfying the Korteweg-de Vries equation. I. (English) Zbl 0582.35008 Sel. Math. Sov. 4, 225-248 (1985). MSC: 35B40 35Q99 34L99 PDF BibTeX XML Cite \textit{V. S. Buslaev} and \textit{V. V. Sukhanov}, Sel. Math. Sov. 4, 225--248 (1985; Zbl 0582.35008) OpenURL
Buslaev, V. S. Adiabatic perturbation of a periodic potential. (English) Zbl 0557.34053 Theor. Math. Phys. 58, 153-159 (1984). MSC: 34E20 PDF BibTeX XML Cite \textit{V. S. Buslaev}, Theor. Math. Phys. 58, 153--159 (1984; Zbl 0557.34053) Full Text: DOI OpenURL
Buslaev, V. S. On adiabatic perturbation of a periodic potential. (Russian. English summary) Zbl 0534.34064 Teor. Mat. Fiz. 58, No. 2, 233-243 (1984). MSC: 34E20 PDF BibTeX XML Cite \textit{V. S. Buslaev}, Teor. Mat. Fiz. 58, No. 2, 233--243 (1984; Zbl 0534.34064) OpenURL
Buslaev, V. S.; Sukhanov, V. V. On the asymptotic behaviour for \(t\to \infty\) of the solutions of the equation \(\psi_{xx} + u(x,t) \psi + (\lambda/4) \psi = 0\) with a potential \(u\) satisfying the Korteweg-deVries equation. I. (Russian) Zbl 0513.35011 Probl. Mat. Fiz. 10, 70-102 (1982). MSC: 35B40 35Q99 34L99 PDF BibTeX XML Cite \textit{V. S. Buslaev} and \textit{V. V. Sukhanov}, Probl. Mat. Fiz. 10, 70--102 (1982; Zbl 0513.35011) OpenURL
Buslaev, V. S. Quantization and the WKB method. (English) Zbl 0244.35034 Proc. Steklov Inst. Math. 110(1970), 1-27 (1972). MSC: 35A25 34E20 35J10 47A40 PDF BibTeX XML Cite \textit{V. S. Buslaev}, Proc. Steklov Inst. Math. 110, 1--27 (1972; Zbl 0244.35034) OpenURL
Buslaev, V. S. Quantization and the WKB method. (Russian) Zbl 0234.35011 Tr. Mat. Inst. Steklova 110, 5-28 (1970). MSC: 35A25 35J10 47A40 34E20 PDF BibTeX XML Cite \textit{V. S. Buslaev}, Tr. Mat. Inst. Steklova 110, 5--28 (1970; Zbl 0234.35011) OpenURL
Buslaev, V.; Fomin, V. Über eine umgekehrte Dispersionsaufgabe für die eindimensionale Schrödingergleichung auf der ganzen Achse. (Russian) Zbl 0243.34013 Vestn. Leningr. Univ. 17, No. 1, Ser. Mat. Mekh. Astron. 17, No. 1, 56-64 (1962). MSC: 34A30 31A25 PDF BibTeX XML Cite \textit{V. Buslaev} and \textit{V. Fomin}, Vestn. Leningr. Univ., Mat. Mekh. Astron. 17, No. 1, 56--64 (1962; Zbl 0243.34013) OpenURL