Allakhverdiev, B. P. A dissipative operator of the Schrödinger type with a matrix potential. (Russian) Zbl 0825.47013 Spektr. Teor. Oper. Prilozh. 9, 11-41 (1989). MSC: 47E05 34L10 34L40 47A20 47A70 PDFBibTeX XMLCite \textit{B. P. Allakhverdiev}, Spektr. Teor. Oper. Prilozh. 9, 11--41 (1989; Zbl 0825.47013)
Aliev, B. I. A theorem of the separability of third order ordinary differential equations on the semi-axis. (Russian) Zbl 0825.34045 Spektr. Teor. Oper. Prilozh. 9, 3-10 (1989). MSC: 34L40 34B99 PDFBibTeX XMLCite \textit{B. I. Aliev}, Spektr. Teor. Oper. Prilozh. 9, 3--10 (1989; Zbl 0825.34045)
Solomyak, B. M. Functional model for dissipative operators. A coordinate-free approach. (English. Russian original) Zbl 0784.47018 J. Sov. Math. 61, No. 2, 1981-2002 (1992); translation from Zap. Nauchn. Semin. Leningr. Otd. Mat. Inst. Steklova 178, 57-91 (1989). MSC: 47A45 47B44 47A20 34L40 47E05 PDFBibTeX XMLCite \textit{B. M. Solomyak}, J. Sov. Math. 61, No. 2, 1981--2002 (1989; Zbl 0784.47018); translation from Zap. Nauchn. Semin. Leningr. Otd. Mat. Inst. Steklova 178, 57--91 (1989) Full Text: DOI
Finkel, L. A. A transformation operator for Sturm-Liouville integro-differential equations on the half-line. (English. Russian original) Zbl 0800.34026 Imanaliev, M. I. (ed.), Studies in integro-differential equations. No. 22. Frunze: Ilim, 101-107 (1989). MSC: 34K99 34L40 45J05 PDFBibTeX XMLCite \textit{L. A. Finkel}, in: Issledovaniya po integro-differentsial'nym uravneniyam. Vyp. 22. Frunze: Ilim. 101--107 (1989; Zbl 0800.34026)
Solomyak, B. M. On a functional model for dissipative operators. Coordinate-free approach. (Russian) Zbl 0735.47005 Zap. Nauchn. Semin. Leningr. Otd. Mat. Inst. Steklova 178, 57-91 (1989). Reviewer: B.Sz.-Nagy (Szeged) MSC: 47A45 47B44 47A20 34L40 47E05 PDFBibTeX XMLCite \textit{B. M. Solomyak}, Zap. Nauchn. Semin. Leningr. Otd. Mat. Inst. Steklova 178, 57--91 (1989; Zbl 0735.47005) Full Text: EuDML
Hinton, D. B.; Klaus, M.; Shaw, J. K. High-energy asymptotics for the scattering matrix on the line. (English) Zbl 0733.34083 Inverse Probl. 5, No. 6, 1049-1056 (1989). Reviewer: L.Littlejohn (Logan) MSC: 34L25 34L40 PDFBibTeX XMLCite \textit{D. B. Hinton} et al., Inverse Probl. 5, No. 6, 1049--1056 (1989; Zbl 0733.34083) Full Text: DOI
Atakishiev, Natig M.; Wolf, Kurt Bernardo Generalized coherent states for a relativistic model of the linear oscillator in a homogeneous external field. (English) Zbl 0732.34066 Rep. Math. Phys. 27, No. 3, 305-311 (1989). MSC: 34L40 83C10 70J30 PDFBibTeX XMLCite \textit{N. M. Atakishiev} and \textit{K. B. Wolf}, Rep. Math. Phys. 27, No. 3, 305--311 (1989; Zbl 0732.34066) Full Text: DOI
Lovetskij, K. P.; Lyabis, I. A.; Sevast’yanov, L. A.; Khmel’nitskij, A. G. An algorithm for synthesis of a wave-guiding system according to a given spectrum of modes. (Russian) Zbl 0728.65076 Modelling of systems and computer science, Collect. Sci. Works, Moskva, 85-89 (1989). MSC: 65L15 34L40 78A50 PDFBibTeX XML
Horváth, M. On eigenfunction expansions. (English) Zbl 0726.34064 Ann. Univ. Sci. Budap. Rolando Eötvös, Sect. Math. 32, 159-190 (1989). Reviewer: L.Janos (Praha) MSC: 34L10 34L40 PDFBibTeX XMLCite \textit{M. Horváth}, Ann. Univ. Sci. Budap. Rolando Eötvös, Sect. Math. 32, 159--190 (1989; Zbl 0726.34064)
Trlifaj, Ladislav The Darboux and Abraham-Moses transformations of the one-dimensional periodic Schrödinger equation and inverse problems. (English) Zbl 0725.34101 Inverse Probl. 5, No. 6, 1145-1155 (1989). MSC: 34L40 34A55 81Q10 34C20 PDFBibTeX XMLCite \textit{L. Trlifaj}, Inverse Probl. 5, No. 6, 1145--1155 (1989; Zbl 0725.34101) Full Text: DOI
Pivovarchik, V. N. On the number of eigenvalues of the spectral problem associated with Klein-Gordon equation. (English) Zbl 0725.34100 Schrödinger operators, standard and non-standard, Proc. Conf., Dubna/USSR 1988, 401-402 (1989). MSC: 34L40 34L15 81Q05 PDFBibTeX XML
Helffer, B.; Sjöstrand, J. Semi-classical analysis for Harper’s equation. III: Cantor structure of the spectrum. (English) Zbl 0725.34099 Mém. Soc. Math. Fr., Nouv. Sér. 39, 124 p. (1989). Reviewer: D.Robert (Nantes) MSC: 34L40 35P05 PDFBibTeX XMLCite \textit{B. Helffer} and \textit{J. Sjöstrand}, Mém. Soc. Math. Fr., Nouv. Sér. 39, 124 p. (1989; Zbl 0725.34099) Full Text: DOI Numdam EuDML
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 PDFBibTeX XML
Sagoyan, V. G. Completeness of eigenfunctions of the Regge problem for Dirac’s operator. (English. Russian original) Zbl 0725.34095 Sov. J. Contemp. Math. Anal., Arm. Acad. Sci. 24, No. 5, 14-25 (1989); translation from Izv. Akad. Nauk Arm. SSR, Mat. 24, No. 5, 433-444 (1989). Reviewer: M.Idemen (İstanbul) MSC: 34L10 34L40 47E05 PDFBibTeX XMLCite \textit{V. G. Sagoyan}, Sov. J. Contemp. Math. Anal., Arm. Acad. Sci. 24, No. 5, 14--25 (1989; Zbl 0725.34095); translation from Izv. Akad. Nauk Arm. SSR, Mat. 24, No. 5, 433--444 (1989)
Bellissard, J.; Iochum, B.; Scoppola, E.; Testard, D. Spectral properties of one dimensional quasi-crystals. (English) Zbl 0825.58010 Commun. Math. Phys. 125, No. 3, 527-543 (1989). MSC: 37E99 37A30 82D25 PDFBibTeX XMLCite \textit{J. Bellissard} et al., Commun. Math. Phys. 125, No. 3, 527--543 (1989; Zbl 0825.58010) Full Text: DOI
Pons, Roland; Marcilhacy, Gilbert Construction de certains potentiels pour lesquels l’équation de Schrödinger est soluble. (Construction of certain potentials for which the Schrödinger equation is solvable). (French) Zbl 0715.34002 Ann. Soc. Sci. Bruxelles, Sér. I 103, No. 2, 65-71 (1989). MSC: 34A05 34M99 34L40 PDFBibTeX XMLCite \textit{R. Pons} and \textit{G. Marcilhacy}, Ann. Soc. Sci. Brux., Sér. I 103, No. 2, 65--71 (1989; Zbl 0715.34002)
Chulaevskij, Victor; Delyon, François Purely absolutely continuous spectrum for almost Mathieu operators. (English) Zbl 0714.34129 J. Stat. Phys. 55, No. 5-6, 1279-1284 (1989). MSC: 34L40 34B30 34L05 PDFBibTeX XMLCite \textit{V. Chulaevskij} and \textit{F. Delyon}, J. Stat. Phys. 55, No. 5--6, 1279--1284 (1989; Zbl 0714.34129) Full Text: DOI
Kritskov, L. V. Uniform bound of the order of associated functions and the distribution of eigenvalues of the one-dimensional Schrödinger operator. (English. Russian original) Zbl 0714.34127 Differ. Equations 25, No. 7, 784-791 (1989); translation from Differ. Uravn. 25, No. 7, 1121-1129 (1989). MSC: 34L20 34L40 34L05 PDFBibTeX XMLCite \textit{L. V. Kritskov}, Differ. Equations 25, No. 7, 784--791 (1989; Zbl 0714.34127); translation from Differ. Uravn. 25, No. 7, 1121--1129 (1989)
Craig, Walter Trace formulae and singular spectra for the Schrödinger operator. (English) Zbl 0713.34081 Integrable systems and applications, Proc. Workshop, Oléron/Fr. 1988, Lect. Notes Phys. 342, 65-81 (1989). Reviewer: A.Pietsch MSC: 34L40 PDFBibTeX XML
Benettin, Giancarlo; Chierchia, Luigi; Fassò, Francesco Exponential estimates on the one-dimensional Schrödinger equation with bounded analytic potential. (English) Zbl 0713.34054 Ann. Inst. Henri Poincaré, Phys. Théor. 51, No. 1, 45-66 (1989). Reviewer: S.Lenhart MSC: 34D10 34L40 PDFBibTeX XMLCite \textit{G. Benettin} et al., Ann. Inst. Henri Poincaré, Phys. Théor. 51, No. 1, 45--66 (1989; Zbl 0713.34054) Full Text: Numdam EuDML
Dunn, Dennis; Grieves, Brian A symmetric matrix method for Schrödinger eigenstates. (English) Zbl 0712.65078 J. Phys. A, Math. Gen. 22, No. 23, L1093-L1096 (1989). Reviewer: V.Burjan MSC: 65L15 81Q05 81V70 34L40 PDFBibTeX XMLCite \textit{D. Dunn} and \textit{B. Grieves}, J. Phys. A, Math. Gen. 22, No. 23, L1093--L1096 (1989; Zbl 0712.65078) Full Text: DOI
Funke, M.; Nieuwenhuizen, Th. M.; Trimper, S. Exact solutions for Ising chains in a random field. (English) Zbl 0707.60107 J. Phys. A, Math. Gen. 22, No. 23, 5097-5107 (1989). MSC: 60K40 82B44 PDFBibTeX XMLCite \textit{M. Funke} et al., J. Phys. A, Math. Gen. 22, No. 23, 5097--5107 (1989; Zbl 0707.60107) Full Text: DOI
Zhu, Benren Discretized inverse scattering problems and Gel’fand-Levitan equations. (English) Zbl 0703.65093 Northeast. Math. J. 5, No. 2, 197-202 (1989). Reviewer: V.Brčić MSC: 65R20 65L15 45H05 34L25 34L40 34A55 35P25 PDFBibTeX XMLCite \textit{B. Zhu}, Northeast. Math. J. 5, No. 2, 197--202 (1989; Zbl 0703.65093)
Kochubej, A. N. One-dimensional point interactions. (English. Russian original) Zbl 0703.34086 Ukr. Math. J. 41, No. 10, 1198-1201 (1989); translation from Ukr. Mat. Zh. 41, No. 10, 1391-1395 (1989). MSC: 34L25 PDFBibTeX XMLCite \textit{A. N. Kochubej}, Ukr. Math. J. 41, No. 10, 1198--1201 (1989; Zbl 0703.34086); translation from Ukr. Mat. Zh. 41, No. 10, 1391--1395 (1989) Full Text: DOI
Lin, Yuanqu; Qian, Mian; Zhang, Qing Inverse scattering problem for one-dimensional Schrödinger operators related to the general Stark effect. (English) Zbl 0699.35200 Acta Math. Appl. Sin., Engl. Ser. 5, No. 2, 116-136 (1989). Reviewer: P.Hillion MSC: 35P25 35J10 47A40 35Q99 81U99 PDFBibTeX XMLCite \textit{Y. Lin} et al., Acta Math. Appl. Sin., Engl. Ser. 5, No. 2, 116--136 (1989; Zbl 0699.35200) Full Text: DOI
Helffer, B.; Sjöstrand, J. Equation de Schrödinger avec champ magnétique et équation de Harper. (The Schrödinger equation with magnetic field and the Harper equation). (French) Zbl 0699.35189 Schrödinger operators, Proc. Nord. Summer Sch. Math., Sandbjerg Slot, Sønderborg/Denmark 1988, Lect. Notes Phys. 345, 118-197 (1989). Reviewer: V.I.Ivrij MSC: 35P05 35S05 35J10 PDFBibTeX XML
Kochubej, A. N. One-dimensional point interactions. (Russian) Zbl 0693.34018 Ukr. Mat. Zh. 41, No. 10, 1391-1395 (1989). Reviewer: B.A.Malomed MSC: 34L99 35Q99 PDFBibTeX XMLCite \textit{A. N. Kochubej}, Ukr. Mat. Zh. 41, No. 10, 1391--1395 (1989; Zbl 0693.34018)
Kritskov, L. V. A uniform estimate of the order of associated functions and distribution of eigenvalues of one-dimensional Schrödinger operator. (Russian) Zbl 0687.34020 Differ. Uravn. 25, No. 7, 1121-1129 (1989). Reviewer: T.Reginska MSC: 34L99 PDFBibTeX XMLCite \textit{L. V. Kritskov}, Differ. Uravn. 25, No. 7, 1121--1129 (1989; Zbl 0687.34020)
Kobeissi, Hafez; Kobeissi, Majida; El-Hajj, Ali On computing eigenvalues of the Schrödinger equation for symmetrical potentials. (English) Zbl 0677.34023 J. Phys. A, Math. Gen. 22, No. 3, 287-295 (1989). MSC: 34L99 PDFBibTeX XMLCite \textit{H. Kobeissi} et al., J. Phys. A, Math. Gen. 22, No. 3, 287--295 (1989; Zbl 0677.34023) Full Text: DOI
Ashbaugh, Mark S.; Benguria, Rafael Optimal lower bound for the gap between the first two eigenvalues of one- dimensional Schrödinger operators with symmetric single-well potentials. (English) Zbl 0668.34023 Proc. Am. Math. Soc. 105, No. 2, 419-424 (1989). Reviewer: Jürgen Appell MSC: 34L15 34L10 34L40 PDFBibTeX XMLCite \textit{M. S. Ashbaugh} and \textit{R. Benguria}, Proc. Am. Math. Soc. 105, No. 2, 419--424 (1989; Zbl 0668.34023) Full Text: DOI
Hinton, D. B.; Klaus, M.; Shaw, J. K. Asymptotic phase, asymptotic modulus, and Titchmarsh-Weyl coefficient for a Dirac system. (English) Zbl 0738.34044 J. Math. Anal. Appl. 142, No. 1, 108-129 (1989). MSC: 34L40 34B20 34L25 34A25 PDFBibTeX XMLCite \textit{D. B. Hinton} et al., J. Math. Anal. Appl. 142, No. 1, 108--129 (1989; Zbl 0738.34044) Full Text: DOI
Syroid, I.-P. P. On the spectral property of the Dirac operator in terms of the potential. (Russian) Zbl 0777.47025 Methods for the investigations of differential and integral operators, Collect. Sci. Works, Kiev, 181-186 (1989). MSC: 47E05 47B40 34L05 34L40 PDFBibTeX XMLCite \textit{I. P. P. Syroid}, in: The boundary value problem for differential-operator equations of an even order. . 181--186 (1989; Zbl 0777.47025)
Dikhamindzhiya, G. V. Solution of the Cauchy problem for a one-dimensional nonstationary Dirac system. (Russian. English summary) Zbl 0900.35315 Tr. Tbilis. Univ. 284, Mat. Mekh. Astron. 25, 44-54 (1989). MSC: 35Q40 34L40 81Q05 PDFBibTeX XMLCite \textit{G. V. Dikhamindzhiya}, Tr. Tbilis. Univ., Mat. Mekh. Astron. 284(25), 44--54 (1989; Zbl 0900.35315)