Aktosun, Tuncay; Weder, Ricardo Direct and inverse scattering for the matrix Schrödinger equation. (English) Zbl 07183319 Applied Mathematical Sciences 203. Cham: Springer (ISBN 978-3-030-38430-2/hbk; 978-3-030-38431-9/ebook). xiii, 624 p. (2021). Reviewer: Jiři Lipovský (Hradec Králové) MSC: 34-02 35-02 47-02 81-02 35P15 PDF BibTeX XML Cite \textit{T. Aktosun} and \textit{R. Weder}, Direct and inverse scattering for the matrix Schrödinger equation. Cham: Springer (2021; Zbl 07183319) Full Text: DOI
Szczygielski, Krzysztof; Alicki, Robert On Howland time-independent formulation of CP-divisible quantum evolutions. (English) Zbl 07307138 Rev. Math. Phys. 32, No. 7, Article ID 2050021, 37 p. (2020). MSC: 81S22 46L07 47A56 47D07 35Q41 PDF BibTeX XML Cite \textit{K. Szczygielski} and \textit{R. Alicki}, Rev. Math. Phys. 32, No. 7, Article ID 2050021, 37 p. (2020; Zbl 07307138) Full Text: DOI
Ishida, Atsuhide; Kawamoto, Masaki Critical scattering in a time-dependent harmonic oscillator. (English) Zbl 1447.81191 J. Math. Anal. Appl. 492, No. 2, Article ID 124475, 9 p. (2020). MSC: 81U20 35P25 35Q41 81Q10 PDF BibTeX XML Cite \textit{A. Ishida} and \textit{M. Kawamoto}, J. Math. Anal. Appl. 492, No. 2, Article ID 124475, 9 p. (2020; Zbl 1447.81191) Full Text: DOI
Behrndt, Jussi; Neidhardt, Hagen Scattering matrices and Weyl functions of quasi boundary triples. (English) Zbl 07240448 Kurasov, Pavel (ed.) et al., Analysis as a tool in mathematical physics. In memory of Boris Pavlov. Collected papers presented at the conferences “Spectral Theory and Applications”, Stockholm, Sweden, March 13–15, 2016 and “Operator Theory, Analysis and Mathematical Physics – OTAMP2016”, Euler International Mathematical Institute, St. Petersburg, Russia, August 2–7, 2016. Cham: Springer (ISBN 978-3-030-31530-6/hbk; 978-3-030-31531-3/ebook). Operator Theory: Advances and Applications 276, 162-182 (2020). Reviewer: Jiři Lipovský (Hradec Králové) MSC: 47A40 81U20 35J10 PDF BibTeX XML Cite \textit{J. Behrndt} and \textit{H. Neidhardt}, Oper. Theory: Adv. Appl. 276, 162--182 (2020; Zbl 07240448) Full Text: DOI
Ishida, Atsuhide; Kawamoto, Masaki Existence and nonexistence of wave operators for time-decaying harmonic oscillators. (English) Zbl 1447.81190 Rep. Math. Phys. 85, No. 3, 335-350 (2020). MSC: 81U20 35P25 35Q41 81Q10 81V10 PDF BibTeX XML Cite \textit{A. Ishida} and \textit{M. Kawamoto}, Rep. Math. Phys. 85, No. 3, 335--350 (2020; Zbl 1447.81190) Full Text: DOI
Alhaidari, A. D. Series solution of a ten-parameter second-order differential equation with three regular singularities and one irregular singularity. (English. Russian original) Zbl 1445.81021 Theor. Math. Phys. 202, No. 1, 17-29 (2020); translation from Teor. Mat. Fiz. 202, No. 1, 20-33 (2020); correction ibid. 205, No. 1, 1391 (2020). MSC: 81Q10 34L40 34L05 33C45 34A25 PDF BibTeX XML Cite \textit{A. D. Alhaidari}, Theor. Math. Phys. 202, No. 1, 17--29 (2020; Zbl 1445.81021); translation from Teor. Mat. Fiz. 202, No. 1, 20--33 (2020); correction ibid. 205, No. 1, 1391 (2020) Full Text: DOI
Deuflhard, Peter; Weiser, Martin Numerical mathematics 3: Adaptive numerical solution of partial differential equations. 2nd expanded edition. (Numerische Mathematik 3. Adaptive Lösung partieller Differentialgleichungen.) (German) Zbl 1451.65002 De Gruyter Studium. Berlin: De Gruyter (ISBN 978-3-11-069168-9/pbk; 978-3-11-068965-5/ebook). xvi, 456 p. (2020). MSC: 65-01 65N22 65M22 65M15 65M60 65N15 65N30 65N12 65F05 65F08 65N55 65N50 65N06 65N35 65Y15 35J05 35J60 35L05 35Q41 35Q30 35Q61 PDF BibTeX XML Cite \textit{P. Deuflhard} and \textit{M. Weiser}, Numerische Mathematik 3. Adaptive Lösung partieller Differentialgleichungen. Berlin: De Gruyter (2020; Zbl 1451.65002) Full Text: DOI
Buchholz, Detlev; Fredenhagen, Klaus A \(\mathrm{C}^*\)-algebraic approach to interacting quantum field theories. (English) Zbl 1447.81155 Commun. Math. Phys. 377, No. 2, 947-969 (2020). MSC: 81T05 81T15 81T20 46L05 46L60 81Q15 35Q55 17B69 18M05 81U20 70S05 PDF BibTeX XML Cite \textit{D. Buchholz} and \textit{K. Fredenhagen}, Commun. Math. Phys. 377, No. 2, 947--969 (2020; Zbl 1447.81155) Full Text: DOI
Behrndt, Jussi; Holzmann, Markus; Mantile, Andrea; Posilicano, Andrea Limiting absorption principle and scattering matrix for Dirac operators with \(\delta\)-shell interactions. (English) Zbl 1439.81037 J. Math. Phys. 61, No. 3, 033504, 16 p. (2020). MSC: 81Q05 81R20 46F10 81U20 PDF BibTeX XML Cite \textit{J. Behrndt} et al., J. Math. Phys. 61, No. 3, 033504, 16 p. (2020; Zbl 1439.81037) Full Text: DOI
Nam, Phan Thành; Rougerie, Nicolas Improved stability for 2D attractive Bose gases. (English) Zbl 1439.81099 J. Math. Phys. 61, No. 2, 021901, 8 p. (2020). MSC: 81V73 81P16 81P15 35Q55 81Q10 82D05 PDF BibTeX XML Cite \textit{P. T. Nam} and \textit{N. Rougerie}, J. Math. Phys. 61, No. 2, 021901, 8 p. (2020; Zbl 1439.81099) Full Text: DOI
Allahverdiev, Bilender P.; Tuna, Hüseyin One-dimensional conformable fractional Dirac system. (English) Zbl 1437.34003 Bol. Soc. Mat. Mex., III. Ser. 26, No. 1, 121-146 (2020). MSC: 34A08 34L10 34L15 34L40 47B25 34B27 PDF BibTeX XML Cite \textit{B. P. Allahverdiev} and \textit{H. Tuna}, Bol. Soc. Mat. Mex., III. Ser. 26, No. 1, 121--146 (2020; Zbl 1437.34003) Full Text: DOI
Dinh, Tien-Cuong; Nguyên, Viêt-Anh Distribution of scattering resonances for generic Schrödinger operators. (English) Zbl 1433.35209 J. Funct. Anal. 278, No. 10, Article ID 108446, 26 p. (2020). Reviewer: Michael Perelmuter (Kyïv) MSC: 35P25 47A40 35J10 81U05 PDF BibTeX XML Cite \textit{T.-C. Dinh} and \textit{V.-A. Nguyên}, J. Funct. Anal. 278, No. 10, Article ID 108446, 26 p. (2020; Zbl 1433.35209) Full Text: DOI
Holzleitner, Markus Transformation operators for spherical Schrödinger operators. (English) Zbl 1423.81187 J. Math. Anal. Appl. 481, No. 1, Article ID 123430, 27 p. (2020). MSC: 81U20 81Q05 34L40 PDF BibTeX XML Cite \textit{M. Holzleitner}, J. Math. Anal. Appl. 481, No. 1, Article ID 123430, 27 p. (2020; Zbl 1423.81187) Full Text: DOI
Hegedűs, Árpád On the finite volume expectation values of local operators in the sine-Gordon model. (English) Zbl 1448.81425 Nucl. Phys., B 948, Article ID 114749, 52 p. (2019). Reviewer: Alex B. Gaina (Chisinau) MSC: 81T10 35Q55 81R20 81Q10 81P16 15A15 81U05 PDF BibTeX XML Cite \textit{Á. Hegedűs}, Nucl. Phys., B 948, Article ID 114749, 52 p. (2019; Zbl 1448.81425) Full Text: DOI
Budyka, V. S.; Malamud, M. M. On the deficiency indices of block Jacobi matrices related to Dirac operators with point interactions. (English. Russian original) Zbl 1441.47037 Math. Notes 106, No. 6, 1008-1013 (2019); translation from Mat. Zametki 106, No. 6, 940-945 (2019). Reviewer: Anatoly N. Kochubei (Kyïv) MSC: 47B36 34L40 47A08 PDF BibTeX XML Cite \textit{V. S. Budyka} and \textit{M. M. Malamud}, Math. Notes 106, No. 6, 1008--1013 (2019; Zbl 1441.47037); translation from Mat. Zametki 106, No. 6, 940--945 (2019) Full Text: DOI
Sakhnovich, Lev Relativistic Lippmann-Schwinger equation as an integral equation. (English) Zbl 1432.81060 Rev. Math. Phys. 31, No. 9, Article ID 1950032, 16 p. (2019). MSC: 81U20 81Q15 81Q05 81R20 46L07 47A10 PDF BibTeX XML Cite \textit{L. Sakhnovich}, Rev. Math. Phys. 31, No. 9, Article ID 1950032, 16 p. (2019; Zbl 1432.81060) Full Text: DOI
Ibrogimov, Orif O.; Štampach, František Spectral enclosures for non-self-adjoint discrete Schrödinger operators. (English) Zbl 1439.39012 Integral Equations Oper. Theory 91, No. 6, Paper No. 53, 15 p. (2019). Reviewer: Chrysoula G. Kokologiannaki (Patras) MSC: 39A70 47B36 47A75 PDF BibTeX XML Cite \textit{O. O. Ibrogimov} and \textit{F. Štampach}, Integral Equations Oper. Theory 91, No. 6, Paper No. 53, 15 p. (2019; Zbl 1439.39012) Full Text: DOI arXiv
Maday, Yvon; Marcati, Carlo Regularity and \(hp\) discontinuous Galerkin finite element approximation of linear elliptic eigenvalue problems with singular potentials. (English) Zbl 1431.65209 Math. Models Methods Appl. Sci. 29, No. 8, 1585-1617 (2019). MSC: 65N25 35J10 65N30 65N12 35B65 65F15 65F05 65F08 35P10 PDF BibTeX XML Cite \textit{Y. Maday} and \textit{C. Marcati}, Math. Models Methods Appl. Sci. 29, No. 8, 1585--1617 (2019; Zbl 1431.65209) Full Text: DOI arXiv
Maichine, A. Generation of semigroup for symmetric matrix Schrödinger operators in \({L}^{p}\)-spaces. (English) Zbl 07127644 Semigroup Forum 99, No. 2, 245-259 (2019). MSC: 47 PDF BibTeX XML Cite \textit{A. Maichine}, Semigroup Forum 99, No. 2, 245--259 (2019; Zbl 07127644) Full Text: DOI
Muhammad, Ahmed; Hamad, Wlat A numerical investigation of the \(c\)-numerical ranges of differential operators. (English) Zbl 1425.65083 Bull. Iran. Math. Soc. 45, No. 6, 1755-1775 (2019). MSC: 65L15 65L12 34L15 15A22 47A12 PDF BibTeX XML Cite \textit{A. Muhammad} and \textit{W. Hamad}, Bull. Iran. Math. Soc. 45, No. 6, 1755--1775 (2019; Zbl 1425.65083) Full Text: DOI
Karimov, O. Kh. On the separation property of nonlinear second-order differential operators with matrix coefficients in weighted spaces. (English. Russian original) Zbl 1423.35327 J. Math. Sci., New York 241, No. 5, 589-595 (2019); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 141, 79-85 (2017). MSC: 35Q40 35J10 PDF BibTeX XML Cite \textit{O. Kh. Karimov}, J. Math. Sci., New York 241, No. 5, 589--595 (2019; Zbl 1423.35327); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 141, 79--85 (2017) Full Text: DOI
Hu, Zhenyu; Huang, Hua; Duan, Zhiwen Inverse scattering problems of one-dimensional Schrödinger equation with magnetic field. (Chinese. English summary) Zbl 1438.35299 Math. Appl. 32, No. 2, 319-326 (2019). MSC: 35P25 35J10 35R30 PDF BibTeX XML Cite \textit{Z. Hu} et al., Math. Appl. 32, No. 2, 319--326 (2019; Zbl 1438.35299)
Finster, Felix; Röken, Christian The fermionic signature operator in the exterior Schwarzschild geometry. (English) Zbl 1431.81064 Ann. Henri Poincaré 20, No. 10, 3389-3418 (2019). Reviewer: Dominik Strzałka (Rzeszów) MSC: 81Q35 81Q05 47A40 81U20 82C10 35Q41 83C57 81T20 PDF BibTeX XML Cite \textit{F. Finster} and \textit{C. Röken}, Ann. Henri Poincaré 20, No. 10, 3389--3418 (2019; Zbl 1431.81064) Full Text: DOI
Mantile, Andrea; Posilicano, Andrea Asymptotic completeness and S-matrix for singular perturbations. (English. French summary) Zbl 07107299 J. Math. Pures Appl. (9) 130, 36-67 (2019). MSC: 47A40 47B25 35P25 35J10 PDF BibTeX XML Cite \textit{A. Mantile} and \textit{A. Posilicano}, J. Math. Pures Appl. (9) 130, 36--67 (2019; Zbl 07107299) Full Text: DOI
Faupin, Jérémy; Nicoleau, François Scattering matrices for dissipative quantum systems. (English) Zbl 1422.81162 J. Funct. Anal. 277, No. 9, 3062-3097 (2019). MSC: 81U20 37L05 81U05 81Q05 47A40 PDF BibTeX XML Cite \textit{J. Faupin} and \textit{F. Nicoleau}, J. Funct. Anal. 277, No. 9, 3062--3097 (2019; Zbl 1422.81162) Full Text: DOI
Nagiyev, Sh. M.; Ahmadov, A. I. Time evolution of quadratic quantum systems: evolution operators, propagators, and invariants. (English. Russian original) Zbl 1419.81011 Theor. Math. Phys. 198, No. 3, 392-411 (2019); translation from Teor. Mat. Fiz. 198, No. 3, 451-472 (2019). MSC: 81Q05 35Q41 15A16 47A10 PDF BibTeX XML Cite \textit{Sh. M. Nagiyev} and \textit{A. I. Ahmadov}, Theor. Math. Phys. 198, No. 3, 392--411 (2019; Zbl 1419.81011); translation from Teor. Mat. Fiz. 198, No. 3, 451--472 (2019) Full Text: DOI
Encinas, A. M.; Jiménez, M. J. Explicit inverse of nonsingular Jacobi matrices. (English) Zbl 1427.15003 Discrete Appl. Math. 263, 130-139 (2019). Reviewer: Bilender P. Allahverdiev (Isparta) MSC: 15A09 39A70 34L40 47B39 39A12 39A06 PDF BibTeX XML Cite \textit{A. M. Encinas} and \textit{M. J. Jiménez}, Discrete Appl. Math. 263, 130--139 (2019; Zbl 1427.15003) Full Text: DOI arXiv
Sambou, Diomba Spectral non-self-adjoint analysis of complex Dirac, Pauli and Schrödinger operators with constant magnetic fields of full rank. (English) Zbl 1416.35247 Asymptotic Anal. 111, No. 2, 113-136 (2019). MSC: 35Q55 35J10 35P20 35B40 81Q05 47N50 PDF BibTeX XML Cite \textit{D. Sambou}, Asymptotic Anal. 111, No. 2, 113--136 (2019; Zbl 1416.35247) Full Text: DOI
Kutsenko, Anton A. A note on sharp spectral estimates for periodic Jacobi matrices. (English) Zbl 07050070 J. Approx. Theory 242, 58-63 (2019). MSC: 41 42 81Q10 34L40 47E05 47N50 PDF BibTeX XML Cite \textit{A. A. Kutsenko}, J. Approx. Theory 242, 58--63 (2019; Zbl 07050070) Full Text: DOI arXiv
Ismail, Mourad E. H.; Štampach, František Spectral analysis of two doubly infinite Jacobi matrices with exponential entries. (English) Zbl 07011433 J. Funct. Anal. 276, No. 6, 1681-1716 (2019). MSC: 47B36 33D90 PDF BibTeX XML Cite \textit{M. E. H. Ismail} and \textit{F. Štampach}, J. Funct. Anal. 276, No. 6, 1681--1716 (2019; Zbl 07011433) Full Text: DOI
Allahverdiev, Bilender P. Spectral analysis of singular Hamiltonian systems with an eigenparameter in the boundary condition. (English) Zbl 1406.34099 Electron. J. Differ. Equ. 2019, Paper No. 02, 14 p. (2019). MSC: 34L05 34B08 34A30 34L10 34L25 34L40 34B09 47E05 PDF BibTeX XML Cite \textit{B. P. Allahverdiev}, Electron. J. Differ. Equ. 2019, Paper No. 02, 14 p. (2019; Zbl 1406.34099) Full Text: Link
Encinas, A. M.; Jiménez, M. J. Explicit inverse of a tridiagonal \((p, r)\)-Toeplitz matrix. (English) Zbl 1415.15006 Linear Algebra Appl. 542, 402-421 (2018). MSC: 15A09 15B05 39A60 34L40 PDF BibTeX XML Cite \textit{A. M. Encinas} and \textit{M. J. Jiménez}, Linear Algebra Appl. 542, 402--421 (2018; Zbl 1415.15006) Full Text: DOI
Lubasch, Michael; Moinier, Pierre; Jaksch, Dieter Multigrid renormalization. (English) Zbl 1415.65273 J. Comput. Phys. 372, 587-602 (2018). MSC: 65N55 65N06 35Q55 35J05 PDF BibTeX XML Cite \textit{M. Lubasch} et al., J. Comput. Phys. 372, 587--602 (2018; Zbl 1415.65273) Full Text: DOI
Kamath, Aditya; Manzhos, Sergei Inverse multiquadratic functions as the basis for the rectangular collocation method to solve the vibrational Schrödinger equation. (English) Zbl 1414.65040 Mathematics 6, No. 11, Paper No. 253, 9 p. (2018). Reviewer: Pavel Burda (Praha) MSC: 65N35 65F15 65N25 35J10 35Q55 PDF BibTeX XML Cite \textit{A. Kamath} and \textit{S. Manzhos}, Mathematics 6, No. 11, Paper No. 253, 9 p. (2018; Zbl 1414.65040) Full Text: DOI
Oganesyan, V. S. The AKNS hierarchy and finite-gap Schrödinger potentials. (English. Russian original) Zbl 1400.37081 Theor. Math. Phys. 196, No. 1, 983-995 (2018); translation from Teor. Mat. Fiz. 196, No. 1, 50-63 (2018). MSC: 37K10 35Q55 PDF BibTeX XML Cite \textit{V. S. Oganesyan}, Theor. Math. Phys. 196, No. 1, 983--995 (2018; Zbl 1400.37081); translation from Teor. Mat. Fiz. 196, No. 1, 50--63 (2018) Full Text: DOI
Gobin, Damien Inverse scattering at fixed energy for radial magnetic Schrödinger operators with obstacle in dimension two. (English) Zbl 1420.35467 Ann. Henri Poincaré 19, No. 10, 3089-3128 (2018). Reviewer: Luis Filipe Pinheiro de Castro (Aveiro) MSC: 35R30 35J10 78A46 81U40 35Q60 PDF BibTeX XML Cite \textit{D. Gobin}, Ann. Henri Poincaré 19, No. 10, 3089--3128 (2018; Zbl 1420.35467) Full Text: DOI
Yafaev, D. R. Analytic scattering theory for Jacobi operators and Bernstein-Szegö asymptotics of orthogonal polynomials. (English) Zbl 1397.81067 Ge, Mo-Lin (ed.) et al., Ludwig Faddeev memorial volume. A life in mathematical physics. Hackensack, NJ: World Scientific (ISBN 978-981-3233-76-8/hbk; 978-981-3233-87-4/ebook). 567-613 (2018). MSC: 81Q05 39A12 81U20 81Q10 33C45 39A70 47A40 47B39 PDF BibTeX XML Cite \textit{D. R. Yafaev}, in: Ludwig Faddeev memorial volume. A life in mathematical physics. Hackensack, NJ: World Scientific. 567--613 (2018; Zbl 1397.81067) Full Text: DOI
Kresin, Gershon; Maz’ya, Vladimir Invariant convex bodies for strongly elliptic systems. (English) Zbl 1407.35070 J. Anal. Math. 135, No. 1, 203-224 (2018). Reviewer: Petar Popivanov (Sofia) MSC: 35J05 35J10 35J47 35J62 PDF BibTeX XML Cite \textit{G. Kresin} and \textit{V. Maz'ya}, J. Anal. Math. 135, No. 1, 203--224 (2018; Zbl 1407.35070) Full Text: DOI
Gorin, Vadim; Shkolnikov, Mykhaylo Stochastic Airy semigroup through tridiagonal matrices. (English) Zbl 1430.60011 Ann. Probab. 46, No. 4, 2287-2344 (2018). MSC: 60B20 15B52 60H25 47D08 60J55 PDF BibTeX XML Cite \textit{V. Gorin} and \textit{M. Shkolnikov}, Ann. Probab. 46, No. 4, 2287--2344 (2018; Zbl 1430.60011) Full Text: DOI Euclid arXiv
Cadamuro, Daniela; Tanimoto, Yoh Wedge-local observables for factorizing S-matrix with gap in the coupling constant. (English) Zbl 1393.81023 Rev. Math. Phys. 30, No. 4, Article ID 1850010, 29 p. (2018). MSC: 81T05 81T40 81U40 81U20 35Q55 35C08 81R12 81R15 PDF BibTeX XML Cite \textit{D. Cadamuro} and \textit{Y. Tanimoto}, Rev. Math. Phys. 30, No. 4, Article ID 1850010, 29 p. (2018; Zbl 1393.81023) Full Text: DOI
Xu, Xiao-Chuan; Yang, Chuan-Fu Determination of the self-adjoint matrix Schrödinger operators without the bound state data. (English) Zbl 1393.81012 Inverse Probl. 34, No. 6, Article ID 065002, 20 p. (2018). MSC: 81Q05 81Q10 34L40 81U40 34L25 PDF BibTeX XML Cite \textit{X.-C. Xu} and \textit{C.-F. Yang}, Inverse Probl. 34, No. 6, Article ID 065002, 20 p. (2018; Zbl 1393.81012) Full Text: DOI
Maichine, Abdallah; Rhandi, Abdelaziz On a polynomial scalar perturbation of a Schrödinger system in \(L^{p}\)-spaces. (English) Zbl 1398.35031 J. Math. Anal. Appl. 466, No. 1, 655-675 (2018). MSC: 35J10 35J47 PDF BibTeX XML Cite \textit{A. Maichine} and \textit{A. Rhandi}, J. Math. Anal. Appl. 466, No. 1, 655--675 (2018; Zbl 1398.35031) Full Text: DOI arXiv
Korotyaev, Evgeny L. Asymptotics of resonances for 1D Stark operators. (English) Zbl 1397.34152 Lett. Math. Phys. 108, No. 5, 1307-1322 (2018). Reviewer: Hubert Kalf (München) MSC: 34L40 47E05 PDF BibTeX XML Cite \textit{E. L. Korotyaev}, Lett. Math. Phys. 108, No. 5, 1307--1322 (2018; Zbl 1397.34152) Full Text: DOI
Allahverdiev, Bilender P. Extensions, dilations, and spectral problems of singular Hamiltonian systems. (English) Zbl 06876278 Math. Methods Appl. Sci. 41, No. 5, 1761-1773 (2018). MSC: 34B40 34L10 34L40 34L25 47A20 47B44 47A40 PDF BibTeX XML Cite \textit{B. P. Allahverdiev}, Math. Methods Appl. Sci. 41, No. 5, 1761--1773 (2018; Zbl 06876278) Full Text: DOI
Wang, Fengpeng A formula related to CMV matrices and Szegő cocycles. (English) Zbl 1419.33004 J. Math. Anal. Appl. 464, No. 1, 304-316 (2018). MSC: 33C45 15A15 15B99 34L40 35J10 PDF BibTeX XML Cite \textit{F. Wang}, J. Math. Anal. Appl. 464, No. 1, 304--316 (2018; Zbl 1419.33004) Full Text: DOI arXiv
Bourget, Alain; Loya, Allen Alvarez; McMillen, Tyler Spectral asymptotics for Kac-Murdock-Szegő matrices. (English) Zbl 1395.15023 Jpn. J. Math. (3) 13, No. 1, 67-107 (2018). Reviewer: Mohammad Sababheh (Amman) MSC: 15B05 47B06 47B35 35P20 PDF BibTeX XML Cite \textit{A. Bourget} et al., Jpn. J. Math. (3) 13, No. 1, 67--107 (2018; Zbl 1395.15023) Full Text: DOI
Bahns, Dorothea; Rejzner, Kasia The quantum sine-Gordon model in perturbative AQFT. (English) Zbl 1386.81110 Commun. Math. Phys. 357, No. 1, 421-446 (2018). MSC: 81T05 35Q55 81T15 17B69 18D10 81U20 PDF BibTeX XML Cite \textit{D. Bahns} and \textit{K. Rejzner}, Commun. Math. Phys. 357, No. 1, 421--446 (2018; Zbl 1386.81110) Full Text: DOI
Freitas, Pedro; Siegl, Petr; Tretter, Christiane The damped wave equation with unbounded damping. (English) Zbl 1392.35188 J. Differ. Equations 264, No. 12, 7023-7054 (2018). Reviewer: Claudia Simionescu-Badea (Wien) MSC: 35L15 35P05 47A56 47D06 PDF BibTeX XML Cite \textit{P. Freitas} et al., J. Differ. Equations 264, No. 12, 7023--7054 (2018; Zbl 1392.35188) Full Text: DOI
Castro, Luis B.; Silva, Edilberto O. Relativistic quantum dynamics of vector bosons in an Aharonov-Bohm potential. (English) Zbl 1382.81087 J. Phys. A, Math. Theor. 51, No. 3, Article ID 035201, 12 p. (2018). MSC: 81Q05 81Q10 47B25 81S05 81U20 70H40 PDF BibTeX XML Cite \textit{L. B. Castro} and \textit{E. O. Silva}, J. Phys. A, Math. Theor. 51, No. 3, Article ID 035201, 12 p. (2018; Zbl 1382.81087) Full Text: DOI
Karimov, Olimzhon Khudoĭberdievich On coercive properties and separability of biharmonic operator with matrix potential. (Russian. English summary) Zbl 07278475 Ufim. Mat. Zh. 9, No. 1, 55-62 (2017); translation in Ufa Math. J. 9, No. 1, 54-61 (2017). MSC: 35Q40 35J10 PDF BibTeX XML Cite \textit{O. K. Karimov}, Ufim. Mat. Zh. 9, No. 1, 55--62 (2017; Zbl 07278475); translation in Ufa Math. J. 9, No. 1, 54--61 (2017) Full Text: DOI MNR
Michelangeli, Alessandro; Olgiati, Alessandro Gross-Pitaevskii non-linear dynamics for pseudo-spinor condensates. (English) Zbl 1420.35080 J. Nonlinear Math. Phys. 24, No. 3, 426-464 (2017). MSC: 35J10 35Q40 35Q55 35Q70 81-05 81U05 81V70 82C10 PDF BibTeX XML Cite \textit{A. Michelangeli} and \textit{A. Olgiati}, J. Nonlinear Math. Phys. 24, No. 3, 426--464 (2017; Zbl 1420.35080) Full Text: DOI arXiv
Allahverdiev, Bilender P.; Tuna, Hüseyin One-dimensional \(q\)-Dirac equation. (English) Zbl 1440.39003 Math. Methods Appl. Sci. 40, No. 18, 7287-7306 (2017). MSC: 39A13 33D15 34L10 34L40 47A10 PDF BibTeX XML Cite \textit{B. P. Allahverdiev} and \textit{H. Tuna}, Math. Methods Appl. Sci. 40, No. 18, 7287--7306 (2017; Zbl 1440.39003) Full Text: DOI
Toprak, Ebru A weighted estimate for two dimensional Schrödinger, matrix Schrödinger, and wave equations with resonance of the first kind at zero energy. (English) Zbl 1383.35069 J. Spectr. Theory 7, No. 4, 1235-1284 (2017). MSC: 35J10 PDF BibTeX XML Cite \textit{E. Toprak}, J. Spectr. Theory 7, No. 4, 1235--1284 (2017; Zbl 1383.35069) Full Text: DOI
Nathanson, Ekaterina S.; Jørgensen, Palle E. T. Trotter’s limit formula for the Schrödinger equation with singular potential. (English) Zbl 1377.81045 J. Math. Phys. 58, No. 12, 122101, 13 p. (2017). MSC: 81Q05 35J10 47B25 47D08 15A16 PDF BibTeX XML Cite \textit{E. S. Nathanson} and \textit{P. E. T. Jørgensen}, J. Math. Phys. 58, No. 12, 122101, 13 p. (2017; Zbl 1377.81045) Full Text: DOI
Olgiati, Alessandro Remarks on the derivation of Gross-Pitaevskii equation with magnetic Laplacian. (English) Zbl 1374.81104 Michelangeli, Alessandro (ed.) et al., Advances in quantum mechanics. Contemporary trends and open problems. Cham: Springer (ISBN 978-3-319-58903-9/hbk; 978-3-319-58904-6/ebook). Springer INdAM Series 18, 257-266 (2017). MSC: 81V70 35Q55 35J05 82C26 81S05 PDF BibTeX XML Cite \textit{A. Olgiati}, Springer INdAM Ser. 18, 257--266 (2017; Zbl 1374.81104) Full Text: DOI arXiv
Pohjola, Valter; Tzou, Leo Inverse scattering for the magnetic Schrödinger operator on surfaces with Euclidean ends. (English) Zbl 1393.58020 Commun. Math. Phys. 356, No. 1, 107-142 (2017). Reviewer: Laurent Guillopé (Nantes) MSC: 58J50 35P25 35R30 81U40 58E05 PDF BibTeX XML Cite \textit{V. Pohjola} and \textit{L. Tzou}, Commun. Math. Phys. 356, No. 1, 107--142 (2017; Zbl 1393.58020) Full Text: DOI arXiv
Patel, Apoorva; Priyadarsini, Anjani Optimization of quantum Hamiltonian evolution: from two projection operators to local Hamiltonians. (English) Zbl 1375.81072 Int. J. Quantum Inf. 15, No. 2, Article ID 1650027, 36 p. (2017). MSC: 81P68 68Q12 81Q05 17B81 41A50 15A16 PDF BibTeX XML Cite \textit{A. Patel} and \textit{A. Priyadarsini}, Int. J. Quantum Inf. 15, No. 2, Article ID 1650027, 36 p. (2017; Zbl 1375.81072) Full Text: DOI
Naceri, Leila; Hammou, Amine B. The analytical transfer matrix method for PT-symmetric complex potential. (English) Zbl 1372.81062 Mod. Phys. Lett. A 32, No. 23, Article ID 1750120, 12 p. (2017). MSC: 81Q12 81Q05 81Q20 PDF BibTeX XML Cite \textit{L. Naceri} and \textit{A. B. Hammou}, Mod. Phys. Lett. A 32, No. 23, Article ID 1750120, 12 p. (2017; Zbl 1372.81062) Full Text: DOI
Ao, Weiwei; Wei, Juncheng; Yang, Wen Infinitely many positive solutions of fractional nonlinear Schrödinger equations with non-symmetric potentials. (English) Zbl 1370.35091 Discrete Contin. Dyn. Syst. 37, No. 11, 5561-5601 (2017). MSC: 35J10 35J61 PDF BibTeX XML Cite \textit{W. Ao} et al., Discrete Contin. Dyn. Syst. 37, No. 11, 5561--5601 (2017; Zbl 1370.35091) Full Text: DOI
Behrndt, Jussi; Malamud, Mark M.; Neidhardt, Hagen Scattering matrices and Dirichlet-to-Neumann maps. (English) Zbl 1376.35011 J. Funct. Anal. 273, No. 6, 1970-2025 (2017). Reviewer: Christian Seifert (Hamburg) MSC: 35J10 35P25 47A40 81U20 PDF BibTeX XML Cite \textit{J. Behrndt} et al., J. Funct. Anal. 273, No. 6, 1970--2025 (2017; Zbl 1376.35011) Full Text: DOI arXiv
Sambou, Diomba A simple criterion for the existence of nonreal eigenvalues for a class of 2D and 3D Pauli operators. (English) Zbl 1371.35181 Linear Algebra Appl. 529, 51-88 (2017). MSC: 35P20 81Q12 35J10 PDF BibTeX XML Cite \textit{D. Sambou}, Linear Algebra Appl. 529, 51--88 (2017; Zbl 1371.35181) Full Text: DOI arXiv
Behrndt, Jussi; Frank, Rupert L.; Kühn, Christian; Lotoreichik, Vladimir; Rohleder, Jonathan Spectral theory for Schrödinger operators with \(\delta\)-interactions supported on curves in \(\mathbb {R}^3\). (English) Zbl 1378.81026 Ann. Henri Poincaré 18, No. 4, 1305-1347 (2017). Reviewer: Aurelian Gheondea (Bucureşti) MSC: 81Q05 46F10 35J10 47B25 35P05 81U20 47B10 PDF BibTeX XML Cite \textit{J. Behrndt} et al., Ann. Henri Poincaré 18, No. 4, 1305--1347 (2017; Zbl 1378.81026) Full Text: DOI
Goldberg, Michael; Green, William R. On the \(L^p\) boundedness of wave operators for four-dimensional Schrödinger operators with a threshold eigenvalue. (English) Zbl 1364.81223 Ann. Henri Poincaré 18, No. 4, 1269-1288 (2017). MSC: 81U20 81Q05 35J10 35P25 PDF BibTeX XML Cite \textit{M. Goldberg} and \textit{W. R. Green}, Ann. Henri Poincaré 18, No. 4, 1269--1288 (2017; Zbl 1364.81223) Full Text: DOI
Cornean, Horia D.; Helffer, Bernard; Purice, Radu Low lying spectral gaps induced by slowly varying magnetic fields. (English) Zbl 1372.35255 J. Funct. Anal. 273, No. 1, 206-282 (2017). Reviewer: Boris A. Malomed (Tel Aviv) MSC: 35Q40 81Q10 78A60 PDF BibTeX XML Cite \textit{H. D. Cornean} et al., J. Funct. Anal. 273, No. 1, 206--282 (2017; Zbl 1372.35255) Full Text: DOI arXiv
Pacheco, Carlos G. Random eigenvalues from a stochastic heat equation. (English) Zbl 1358.15026 Stat. Probab. Lett. 123, 114-121 (2017). MSC: 15B52 15A18 60H15 PDF BibTeX XML Cite \textit{C. G. Pacheco}, Stat. Probab. Lett. 123, 114--121 (2017; Zbl 1358.15026) Full Text: DOI
Damanik, David; Goldstein, Michael; Lukic, Milivoje A multi-scale analysis scheme on abelian groups with an application to operators dual to Hill’s equation. (English) Zbl 1355.35053 Trans. Am. Math. Soc. 369, No. 3, 1689-1755 (2017). MSC: 35J10 34L40 PDF BibTeX XML Cite \textit{D. Damanik} et al., Trans. Am. Math. Soc. 369, No. 3, 1689--1755 (2017; Zbl 1355.35053) Full Text: DOI
Sun, Jiguang; Zhou, Aihui Finite element methods for eigenvalue problems. (English) Zbl 1351.65085 Monographs and Research Notes in Mathematics. Boca Raton, FL: CRC Press (ISBN 978-1-4822-5464-8/hbk; 978-1-4822-5465-5/ebook). xxiii, 343 p. (2017). Reviewer: Rolf Dieter Grigorieff (Berlin) MSC: 65N25 65N30 65-02 65F15 74S05 78M10 81-08 35P15 35J05 35Q61 35J30 PDF BibTeX XML Cite \textit{J. Sun} and \textit{A. Zhou}, Finite element methods for eigenvalue problems. Boca Raton, FL: CRC Press (2017; Zbl 1351.65085) Full Text: DOI
Allahverdiev, Bilender P.; Uğurlu, Ekin Spectral analysis of the direct sum Hamiltonian operators. (English) Zbl 07117144 Quaest. Math. 39, No. 6, 733-750 (2016). MSC: 47A20 47A40 47A75 47B44 34L40 34B40 34L25 47A45 PDF BibTeX XML Cite \textit{B. P. Allahverdiev} and \textit{E. Uğurlu}, Quaest. Math. 39, No. 6, 733--750 (2016; Zbl 07117144) Full Text: DOI
Kostenko, A. S.; Malamud, M. M.; Natyagailo, D. D. Matrix Schrödinger operator with \(\delta\)-interactions. (English. Russian original) Zbl 06682139 Math. Notes 100, No. 1, 49-65 (2016); translation from Mat. Zametki 100, No. 1, 59-77 (2016). MSC: 47 34 PDF BibTeX XML Cite \textit{A. S. Kostenko} et al., Math. Notes 100, No. 1, 49--65 (2016; Zbl 06682139); translation from Mat. Zametki 100, No. 1, 59--77 (2016) Full Text: DOI
Ando, Kazunori; Isozaki, Hiroshi; Morioka, Hisashi Spectral properties of Schrödinger operators on perturbed lattices. (English) Zbl 1347.81044 Ann. Henri Poincaré 17, No. 8, 2103-2171 (2016). Reviewer: Michael Perelmuter (Kyïv) MSC: 81Q35 81Q10 39A12 81U20 35J05 14M25 PDF BibTeX XML Cite \textit{K. Ando} et al., Ann. Henri Poincaré 17, No. 8, 2103--2171 (2016; Zbl 1347.81044) Full Text: DOI arXiv
Behrndt, Jussi; Gesztesy, Fritz; Holden, Helge; Nichols, Roger Dirichlet-to-Neumann maps, abstract Weyl-Titchmarsh \(M\)-functions, and a generalized index of unbounded meromorphic operator-valued functions. (English) Zbl 1350.47009 J. Differ. Equations 261, No. 6, 3551-3587 (2016). MSC: 47A53 47A56 47A10 47B07 PDF BibTeX XML Cite \textit{J. Behrndt} et al., J. Differ. Equations 261, No. 6, 3551--3587 (2016; Zbl 1350.47009) Full Text: DOI arXiv
Richard, S.; Tiedra de Aldecoa, R. Resolvent expansions and continuity of the scattering matrix at embedded thresholds: the case of quantum waveguides. (English. French summary) Zbl 1372.47004 Bull. Soc. Math. Fr. 144, No. 2, 251-277 (2016). Reviewer: Miyeon Kwon (Platteville) MSC: 47A05 47A10 47N50 81Q37 81U35 35J10 PDF BibTeX XML Cite \textit{S. Richard} and \textit{R. Tiedra de Aldecoa}, Bull. Soc. Math. Fr. 144, No. 2, 251--277 (2016; Zbl 1372.47004) Full Text: DOI Link arXiv
Richard, Serge; Umeda, Tomio Low energy spectral and scattering theory for relativistic Schrödinger operators. (English) Zbl 1347.81072 Hokkaido Math. J. 45, No. 2, 141-179 (2016). Reviewer: Denis A. White (Toledo) MSC: 81U20 35Q40 35P25 47A40 81Q10 81R20 PDF BibTeX XML Cite \textit{S. Richard} and \textit{T. Umeda}, Hokkaido Math. J. 45, No. 2, 141--179 (2016; Zbl 1347.81072) Full Text: DOI Link
Ficek, Zbigniew Problems and solutions in quantum physics. (English) Zbl 1350.81001 Singapore: Pan Stanford Publishing (ISBN 978-981-4669-36-8/hbk; 978-981-4669-37-5/ebook). 186 p. (2016). Reviewer: Claudia-Veronika Meister (Darmstadt) MSC: 81-01 00A07 00A69 PDF BibTeX XML Cite \textit{Z. Ficek}, Problems and solutions in quantum physics. Singapore: Pan Stanford Publishing (2016; Zbl 1350.81001) Full Text: DOI
Pacheco, Carlos G. A random matrix from a stochastic heat equation. (English) Zbl 1337.65011 Stat. Probab. Lett. 113, 71-78 (2016). MSC: 65C30 60H15 60H35 15B52 35R60 60H25 35J10 PDF BibTeX XML Cite \textit{C. G. Pacheco}, Stat. Probab. Lett. 113, 71--78 (2016; Zbl 1337.65011) Full Text: DOI
Hur, Injo; McBride, Matt; Remling, Christian The Marchenko representation of reflectionless Jacobi and Schrödinger operators. (English) Zbl 1355.34125 Trans. Am. Math. Soc. 368, No. 2, 1251-1270 (2016). Reviewer: Aleksey Kostenko (Donetsk) MSC: 34L40 47B36 81Q10 34L05 PDF BibTeX XML Cite \textit{I. Hur} et al., Trans. Am. Math. Soc. 368, No. 2, 1251--1270 (2016; Zbl 1355.34125) Full Text: DOI arXiv
Kitada, Hitoshi Wave operators and similarity for long range \(N\)-body Schrödinger operators. (English) Zbl 1333.81423 Commun. Math. Anal. 19, No. 1, 6-66 (2016). MSC: 81U20 81U10 35J10 35P25 47A40 81Q10 81V70 PDF BibTeX XML Cite \textit{H. Kitada}, Commun. Math. Anal. 19, No. 1, 6--66 (2016; Zbl 1333.81423) Full Text: Euclid
Ishida, Atsuhide The borderline of the short-range condition for the repulsive Hamiltonian. (English) Zbl 1333.81422 J. Math. Anal. Appl. 438, No. 1, 267-273 (2016). MSC: 81U20 81Q05 PDF BibTeX XML Cite \textit{A. Ishida}, J. Math. Anal. Appl. 438, No. 1, 267--273 (2016; Zbl 1333.81422) Full Text: DOI
Katar, Deniz; Olgun, Murat; Coskun, Cafer Matrix Sturm-Liouville operators with boundary conditions dependent on the spectral parameter. (English) Zbl 1327.34049 J. Nonlinear Sci. Appl. 9, No. 2, 435-442 (2016). MSC: 34B24 34L40 34L05 34L15 PDF BibTeX XML Cite \textit{D. Katar} et al., J. Nonlinear Sci. Appl. 9, No. 2, 435--442 (2016; Zbl 1327.34049) Full Text: DOI Link
Amore, Paolo; Walecka, John Dirk Advanced modern physics. Solutions to problems. (English) Zbl 1333.81001 Hackensack, NJ: World Scientific (ISBN 978-981-4704-51-9/pbk). viii, 339 p. (2016). Reviewer: Claudia-Veronika Meister (Darmstadt) MSC: 81-01 81P05 00A07 00A79 81Qxx 81Txx 81Vxx PDF BibTeX XML Cite \textit{P. Amore} and \textit{J. D. Walecka}, Advanced modern physics. Solutions to problems. Hackensack, NJ: World Scientific (2016; Zbl 1333.81001) Full Text: DOI
Karakiliç, Sedef; Akduman, Setenay Eigenvalue asymptotics for the Schrödinger operator with a matrix potential in a single resonance domain. (English) Zbl 06748978 Filomat 29, No. 1, 21-38 (2015). MSC: 47F05 35P15 PDF BibTeX XML Cite \textit{S. Karakiliç} and \textit{S. Akduman}, Filomat 29, No. 1, 21--38 (2015; Zbl 06748978) Full Text: DOI
Alhaidari, A. D.; Jellal, A. Compatibility of symmetric quantization with general covariance in the Dirac equation and spin connections. (English) Zbl 1349.81099 Phys. Lett., A 379, No. 45-46, 2946-2950 (2015). MSC: 81Q35 81S10 35Q41 81R15 35Q40 PDF BibTeX XML Cite \textit{A. D. Alhaidari} and \textit{A. Jellal}, Phys. Lett., A 379, No. 45--46, 2946--2950 (2015; Zbl 1349.81099) Full Text: DOI arXiv
Melikhova, A. S. Estimates for numbers of negative eigenvalues of Laplacian for Y-type chain of weakly coupled ball resonators. (English) Zbl 1339.81034 Exner, Pavel (ed.) et al., Proceedings of the QMath12 conference on mathematical results in quantum mechanics, Berlin, Germany, September 10–13, 2013. With DVD-ROM. Hackensack, NJ: World Scientific (ISBN 978-981-4618-13-7/hbk; 978-981-4618-15-1/ebook). 325-330 (2015). MSC: 81Q05 35J05 47B25 PDF BibTeX XML Cite \textit{A. S. Melikhova}, in: Proceedings of the QMath12 conference on mathematical results in quantum mechanics, Berlin, Germany, September 10--13, 2013. With DVD-ROM. Hackensack, NJ: World Scientific. 325--330 (2015; Zbl 1339.81034) Full Text: DOI
Fernández, Francisco M. Algebraic treatment of \(\mathcal{PT}\)-symmetric coupled oscillators. (English) Zbl 1329.81166 Int. J. Theor. Phys. 54, No. 11, 3871-3876 (2015). MSC: 81Q05 81R05 81R15 PDF BibTeX XML Cite \textit{F. M. Fernández}, Int. J. Theor. Phys. 54, No. 11, 3871--3876 (2015; Zbl 1329.81166) Full Text: DOI
Borisov, L. A.; Orlov, Yu. N. Analyzing the dependence of finite-fold approximations of the harmonic oscillator equilibrium density matrix and of the Wigner function on the quantization prescription. (English. Russian original) Zbl 1325.81076 Theor. Math. Phys. 184, No. 1, 986-995 (2015); translation from Teor. Mat. Fiz. 184, No. 1, 106-116 (2015). MSC: 81Q05 81S05 81S30 47D08 81Q10 PDF BibTeX XML Cite \textit{L. A. Borisov} and \textit{Yu. N. Orlov}, Theor. Math. Phys. 184, No. 1, 986--995 (2015; Zbl 1325.81076); translation from Teor. Mat. Fiz. 184, No. 1, 106--116 (2015) Full Text: DOI
Isozaki, Hiroshi; Morioka, Hisashi Inverse scattering at a fixed energy for discrete Schrödinger operators on the square lattice. (Diffusion inverse à énergie fixée pour l’opérateur Schrödinger sur un réseau carré.) (English. French summary) Zbl 1330.81192 Ann. Inst. Fourier 65, No. 3, 1153-1200 (2015). Reviewer: Mihai Pascu (Bucureşti) MSC: 81U40 47A40 65L09 39A12 81U20 PDF BibTeX XML Cite \textit{H. Isozaki} and \textit{H. Morioka}, Ann. Inst. Fourier 65, No. 3, 1153--1200 (2015; Zbl 1330.81192) Full Text: DOI arXiv
Weder, Ricardo Scattering theory for the matrix Schrödinger operator on the half line with general boundary conditions. (English) Zbl 1408.35019 J. Math. Phys. 56, No. 9, Article ID 092103, 24 p. (2015); erratum ibid. 60, No. 1, 019901, 1 p. (2016). MSC: 35J10 35P25 PDF BibTeX XML Cite \textit{R. Weder}, J. Math. Phys. 56, No. 9, Article ID 092103, 24 p. (2015; Zbl 1408.35019) Full Text: DOI arXiv
Komech, A. I. On the Hartree-Fock dynamics in wave-matrix picture. (English) Zbl 1330.35361 Dyn. Partial Differ. Equ. 12, No. 2, 157-176 (2015). MSC: 35Q40 35Q41 35L10 34L25 47A40 81U05 PDF BibTeX XML Cite \textit{A. I. Komech}, Dyn. Partial Differ. Equ. 12, No. 2, 157--176 (2015; Zbl 1330.35361) Full Text: DOI
Muthsam, H. Book review of: P. Deuflhard and M. Weiser, Adaptive numerical solution of PDEs. (English) Zbl 1321.00055 Monatsh. Math. 177, No. 4, 660 (2015). MSC: 00A17 65N22 65M22 65-02 65M15 65M60 65N15 65N30 65N12 65F05 65F08 65N55 65N50 65N06 65N35 65Y15 35J05 35J60 35L05 35Q41 35Q30 35Q61 PDF BibTeX XML Cite \textit{H. Muthsam}, Monatsh. Math. 177, No. 4, 660 (2015; Zbl 1321.00055)
Bourgain, Jean; Bourgain-Chang, Eric A note on Lyapunov exponents of deterministic strongly mixing potentials. (English) Zbl 1318.82021 J. Spectr. Theory 5, No. 1, 1-15 (2015). MSC: 82B44 47B39 47N50 81Q10 PDF BibTeX XML Cite \textit{J. Bourgain} and \textit{E. Bourgain-Chang}, J. Spectr. Theory 5, No. 1, 1--15 (2015; Zbl 1318.82021) Full Text: DOI arXiv
Dall’Ara, Gian Maria Discreteness of the spectrum of Schrödinger operators with non-negative matrix-valued potentials. (English) Zbl 1310.47064 J. Funct. Anal. 268, No. 12, 3649-3679 (2015). MSC: 47F05 47A10 35J10 47B38 PDF BibTeX XML Cite \textit{G. M. Dall'Ara}, J. Funct. Anal. 268, No. 12, 3649--3679 (2015; Zbl 1310.47064) Full Text: DOI arXiv
Sokolov, Andrey V. Spectral design for matrix Hamiltonians: different methods of constructing of a matrix intertwining operator. (English) Zbl 1312.81067 J. Phys. A, Math. Theor. 48, No. 8, Article ID 085202, 39 p. (2015). MSC: 81Q05 81Q60 15A18 47E05 81Q10 34L40 PDF BibTeX XML Cite \textit{A. V. Sokolov}, J. Phys. A, Math. Theor. 48, No. 8, Article ID 085202, 39 p. (2015; Zbl 1312.81067) Full Text: DOI arXiv
Aktosun, Tuncay; Sacks, Paul; Unlu, Mehmet Inverse problems for selfadjoint Schrödinger operators on the half line with compactly supported potentials. (English) Zbl 1310.81145 J. Math. Phys. 56, No. 2, 022106, 33 p. (2015). MSC: 81U40 81Q05 81Q10 81U20 34L40 34K29 PDF BibTeX XML Cite \textit{T. Aktosun} et al., J. Math. Phys. 56, No. 2, 022106, 33 p. (2015; Zbl 1310.81145) Full Text: DOI arXiv
Fedotov, Alexander; Sandomirskiy, Fedor An exact renormalization formula for the Maryland model. (English) Zbl 1312.39006 Commun. Math. Phys. 334, No. 2, 1083-1099 (2015). Reviewer: Vladimir Răsvan (Craiova) MSC: 39A12 39A10 39A45 35Q41 PDF BibTeX XML Cite \textit{A. Fedotov} and \textit{F. Sandomirskiy}, Commun. Math. Phys. 334, No. 2, 1083--1099 (2015; Zbl 1312.39006) Full Text: DOI arXiv
Sakhnovich, Alexander Nonlinear Schrödinger equation in a semi-strip: evolution of the Weyl-Titchmarsh function and recovery of the initial condition and rectangular matrix solutions from the boundary conditions. (English) Zbl 1308.35280 J. Math. Anal. Appl. 423, No. 1, 746-757 (2015). MSC: 35Q55 35R30 47A56 PDF BibTeX XML Cite \textit{A. Sakhnovich}, J. Math. Anal. Appl. 423, No. 1, 746--757 (2015; Zbl 1308.35280) Full Text: DOI arXiv
Mohammadi, Abbasali; Bahrami, Fariba A nonlinear eigenvalue problem arising in a nanostructured quantum dot. (English) Zbl 1448.81331 Commun. Nonlinear Sci. Numer. Simul. 19, No. 9, 3053-3062 (2014). MSC: 81Q37 82D80 81U20 35P30 49K20 PDF BibTeX XML Cite \textit{A. Mohammadi} and \textit{F. Bahrami}, Commun. Nonlinear Sci. Numer. Simul. 19, No. 9, 3053--3062 (2014; Zbl 1448.81331) Full Text: DOI
Mathai, A. M. Fractional calculus: a new look. (English) Zbl 1445.26008 J. Ramanujan Soc. Math. Math. Sci. 3, No. 2, 1-16 (2014). MSC: 26A33 44A10 33C60 35J10 PDF BibTeX XML Cite \textit{A. M. Mathai}, J. Ramanujan Soc. Math. Math. Sci. 3, No. 2, 1--16 (2014; Zbl 1445.26008) Full Text: Link
Fedotov, A. A. Monodromization method in the theory of almost-periodic equations. (English. Russian original) Zbl 1326.39011 St. Petersbg. Math. J. 25, No. 2, 303-325 (2014); translation from Algebra Anal. 25, No. 2, 203-235 (2013). MSC: 39A24 PDF BibTeX XML Cite \textit{A. A. Fedotov}, St. Petersbg. Math. J. 25, No. 2, 303--325 (2014; Zbl 1326.39011); translation from Algebra Anal. 25, No. 2, 203--235 (2013) Full Text: DOI
Skibsted, E. Renormalized two-body low-energy scattering. (English) Zbl 1303.81200 J. Anal. Math. 122, 25-68 (2014). Reviewer: Michael Perelmuter (Kyïv) MSC: 81U05 81U20 47A40 35J10 35P25 PDF BibTeX XML Cite \textit{E. Skibsted}, J. Anal. Math. 122, 25--68 (2014; Zbl 1303.81200) Full Text: DOI
Pankrashkin, Konstantin; Richard, Serge One-dimensional Dirac operators with zero-range interactions: spectral, scattering, and topological results. (English) Zbl 1298.81080 J. Math. Phys. 55, No. 6, 062305, 17 p. (2014). Reviewer: Ekin Uğurlu (Ankara) MSC: 81Q05 81Q10 81U20 34L40 34L25 PDF BibTeX XML Cite \textit{K. Pankrashkin} and \textit{S. Richard}, J. Math. Phys. 55, No. 6, 062305, 17 p. (2014; Zbl 1298.81080) Full Text: DOI arXiv