Benhellal, Badreddine; Pankrashkin, Konstantin Curvature contribution to the essential spectrum of Dirac operators with critical shell interactions. (English) Zbl 07812522 Pure Appl. Anal. 6, No. 1, 237-252 (2024). MSC: 35Q40 35Q41 47A10 58J40 53A05 81Q05 78A30 PDFBibTeX XMLCite \textit{B. Benhellal} and \textit{K. Pankrashkin}, Pure Appl. Anal. 6, No. 1, 237--252 (2024; Zbl 07812522) Full Text: DOI arXiv
Pu, Hongling; Liang, Sihua; Ji, Shuguan Nodal solutions to \((p,q)\)-Laplacian equations with critical growth. (English) Zbl 07812511 Asymptotic Anal. 136, No. 2, 133-156 (2024). MSC: 35Q55 35Q60 78A35 81Q10 35A15 35B33 35J05 35A01 PDFBibTeX XMLCite \textit{H. Pu} et al., Asymptotic Anal. 136, No. 2, 133--156 (2024; Zbl 07812511) Full Text: DOI
Wang, Haoran Improved time-decay for a class of many-magnetic Schrödinger flows. (English) Zbl 07799721 J. Math. Anal. Appl. 533, No. 2, Article ID 128024, 9 p. (2024). MSC: 35Q55 35Q60 78A30 81Q70 81Q10 35J10 42B37 PDFBibTeX XMLCite \textit{H. Wang}, J. Math. Anal. Appl. 533, No. 2, Article ID 128024, 9 p. (2024; Zbl 07799721) Full Text: DOI arXiv
Novikov, Roman G.; Sivkin, Vladimir N.; Sabinin, Grigory V. Multipoint formulas in inverse problems and their numerical implementation. (English) Zbl 07780892 Inverse Probl. 39, No. 12, Article ID 125016, 25 p. (2023). MSC: 65N21 35Q55 35R30 35J10 35P25 78A46 78A45 PDFBibTeX XMLCite \textit{R. G. Novikov} et al., Inverse Probl. 39, No. 12, Article ID 125016, 25 p. (2023; Zbl 07780892) Full Text: DOI
Ccajma, Vernny; Neves, Wladimir; Silva, Jean Homogenization of Schrödinger equations. Extended effective mass theorems for non-crystalline matter. (English. French summary) Zbl 07780692 J. Math. Pures Appl. (9) 180, 47-96 (2023). MSC: 35B27 35B40 35J10 35Q41 60H15 78M40 81Q20 PDFBibTeX XMLCite \textit{V. Ccajma} et al., J. Math. Pures Appl. (9) 180, 47--96 (2023; Zbl 07780692) Full Text: DOI arXiv
Liu, Juan; Liu, Yanfang; Sun, Jiguang Reconstruction of modified transmission eigenvalues using Cauchy data. (English) Zbl 1528.35235 J. Inverse Ill-Posed Probl. 31, No. 6, 905-919 (2023). MSC: 35R30 35J10 35P25 47A75 78A46 PDFBibTeX XMLCite \textit{J. Liu} et al., J. Inverse Ill-Posed Probl. 31, No. 6, 905--919 (2023; Zbl 1528.35235) Full Text: DOI
Fahs, Rayan On the semi-classical analysis of Schrödinger operators with linear electric potentials on a bounded domain. (English) Zbl 1528.35177 Asymptotic Anal. 135, No. 1-2, 81-113 (2023). MSC: 35Q60 78A25 82D37 35J10 33C10 35P20 35C20 PDFBibTeX XMLCite \textit{R. Fahs}, Asymptotic Anal. 135, No. 1--2, 81--113 (2023; Zbl 1528.35177) Full Text: DOI
Hofmann, Matthias; Kennedy, James B.; Serio, Andrea Spectral minimal partitions of unbounded metric graphs. (English) Zbl 07761496 J. Spectr. Theory 13, No. 2, 593-622 (2023). MSC: 81Q35 05C12 34B45 35P15 35R02 49Q10 35J91 58J50 78A30 PDFBibTeX XMLCite \textit{M. Hofmann} et al., J. Spectr. Theory 13, No. 2, 593--622 (2023; Zbl 07761496) Full Text: DOI arXiv
Du, Hang; Li, Zhaoxing; Liu, Juan; Liu, Yanfang; Sun, Jiguang Divide-and-conquer DNN approach for the inverse point source problem using a few single frequency measurements. (English) Zbl 1526.35313 Inverse Probl. 39, No. 11, Article ID 115006, 19 p. (2023). MSC: 35R30 35J10 78A46 PDFBibTeX XMLCite \textit{H. Du} et al., Inverse Probl. 39, No. 11, Article ID 115006, 19 p. (2023; Zbl 1526.35313) Full Text: DOI
Semay, Claude; Balcaen, Maud The envelope theory as a pedagogical tool. (English) Zbl 07755209 Eur. J. Phys. 44, No. 3, Article ID 035401, 11 p. (2023). MSC: 81Q05 35P15 81Q12 81V70 81Q37 81V25 78A35 70-08 81-01 PDFBibTeX XMLCite \textit{C. Semay} and \textit{M. Balcaen}, Eur. J. Phys. 44, No. 3, Article ID 035401, 11 p. (2023; Zbl 07755209) Full Text: DOI arXiv
Ma, Shiqi; Potenciano-Machado, Leyter; Salo, Mikko Fixed angle inverse scattering for sound speeds close to constant. (English) Zbl 1526.35320 SIAM J. Math. Anal. 55, No. 4, 3420-3456 (2023). MSC: 35R30 35Q60 35J10 35L05 31B10 78A40 PDFBibTeX XMLCite \textit{S. Ma} et al., SIAM J. Math. Anal. 55, No. 4, 3420--3456 (2023; Zbl 1526.35320) Full Text: DOI arXiv
Bellassoued, Mourad; Haddar, Houssem; Labidi, Amal Stability estimate for an inverse problem for the time harmonic magnetic Schrödinger operator from the near and far field patterns. (English) Zbl 1518.35664 SIAM J. Math. Anal. 55, No. 4, 2475-2504 (2023). MSC: 35R30 35J10 35P25 78A46 81U40 PDFBibTeX XMLCite \textit{M. Bellassoued} et al., SIAM J. Math. Anal. 55, No. 4, 2475--2504 (2023; Zbl 1518.35664) Full Text: DOI arXiv
Golovaty, Yuriy Quantum graphs: Coulomb-type potentials and exactly solvable models. (English) Zbl 1527.81056 Ann. Henri Poincaré 24, No. 8, 2557-2585 (2023). MSC: 81Q10 78A25 81Q35 05C69 81Q80 34L40 PDFBibTeX XMLCite \textit{Y. Golovaty}, Ann. Henri Poincaré 24, No. 8, 2557--2585 (2023; Zbl 1527.81056) Full Text: DOI arXiv
Joye, Alain; Merkli, Marco The adiabatic Wigner-Weisskopf model. (English) Zbl 1527.81049 J. Stat. Phys. 190, No. 6, Paper No. 105, 40 p. (2023). MSC: 81Q05 70H11 81S22 81Q12 78A40 81V45 81V80 81U90 PDFBibTeX XMLCite \textit{A. Joye} and \textit{M. Merkli}, J. Stat. Phys. 190, No. 6, Paper No. 105, 40 p. (2023; Zbl 1527.81049) Full Text: DOI arXiv
Bianconi, Ginestra Dirac gauge theory for topological spinors in \(3+1\) dimensional networks. (English) Zbl 1525.83012 J. Phys. A, Math. Theor. 56, No. 27, Article ID 275001, 24 p. (2023). MSC: 83C45 68Q12 81P68 90C35 39A12 81S05 35J93 78A30 81Q20 81Q05 70S15 83C10 PDFBibTeX XMLCite \textit{G. Bianconi}, J. Phys. A, Math. Theor. 56, No. 27, Article ID 275001, 24 p. (2023; Zbl 1525.83012) Full Text: DOI arXiv
Nguyen, Dinh-Liem; Stahl, Kale; Truong, Trung A new sampling indicator function for stable imaging of periodic scattering media. (English) Zbl 1516.35532 Inverse Probl. 39, No. 6, Article ID 065013, 21 p. (2023). MSC: 35R30 35J10 35P25 78A46 PDFBibTeX XMLCite \textit{D.-L. Nguyen} et al., Inverse Probl. 39, No. 6, Article ID 065013, 21 p. (2023; Zbl 1516.35532) Full Text: DOI arXiv
Choi, Mi-Ran; Hundertmark, Dirk; Lee, Young-Ran Well-posedness of dispersion managed nonlinear Schrödinger equations. (English) Zbl 1508.35141 J. Math. Anal. Appl. 522, No. 1, Article ID 126938, 37 p. (2023). Reviewer: Rémi Carles (Rennes) MSC: 35Q55 35Q41 35Q60 35A01 35A02 35B35 78A60 35J10 PDFBibTeX XMLCite \textit{M.-R. Choi} et al., J. Math. Anal. Appl. 522, No. 1, Article ID 126938, 37 p. (2023; Zbl 1508.35141) Full Text: DOI arXiv
Giunti, Arianna; Velázquez, Juan J. L. Edge states for generalized Iwatsuka models: magnetic fields having a fast transition across a curve. (English) Zbl 1526.35270 Ann. Henri Poincaré 24, No. 1, 73-105 (2023). Reviewer: Konstantin Merz (Braunschweig) MSC: 35Q40 35P15 35P20 35J10 34L40 78A30 PDFBibTeX XMLCite \textit{A. Giunti} and \textit{J. J. L. Velázquez}, Ann. Henri Poincaré 24, No. 1, 73--105 (2023; Zbl 1526.35270) Full Text: DOI arXiv
Hasler, David; Siebert, Oliver Ground states for translationally invariant Pauli-Fierz models at zero momentum. (English) Zbl 1515.81217 J. Funct. Anal. 284, No. 1, Article ID 109725, 28 p. (2023). MSC: 81V10 81Q05 35J10 78A35 35P10 PDFBibTeX XMLCite \textit{D. Hasler} and \textit{O. Siebert}, J. Funct. Anal. 284, No. 1, Article ID 109725, 28 p. (2023; Zbl 1515.81217) Full Text: DOI arXiv
Belishev, Mikhail I.; Kaplun, Aleksandr V. Canonical form of the \(C^*\)-algebra of eikonals related to a metric graph. (English. Russian original) Zbl 1522.35429 Izv. Math. 86, No. 4, 621-666 (2022); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 86, No. 4, 3-50 (2022). MSC: 35Q41 35B30 47N70 46N20 78A05 35R30 35R02 35B40 PDFBibTeX XMLCite \textit{M. I. Belishev} and \textit{A. V. Kaplun}, Izv. Math. 86, No. 4, 621--666 (2022; Zbl 1522.35429); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 86, No. 4, 3--50 (2022) Full Text: DOI arXiv MNR
Ma, Guanqiu; Hu, Guanghui Factorization method with one plane wave: from model-driven and data-driven perspectives. (English) Zbl 1516.35527 Inverse Probl. 38, No. 1, Article ID 015003, 26 p. (2022). MSC: 35R30 35J10 78A46 PDFBibTeX XMLCite \textit{G. Ma} and \textit{G. Hu}, Inverse Probl. 38, No. 1, Article ID 015003, 26 p. (2022; Zbl 1516.35527) Full Text: DOI arXiv
Lima, Nathan; Karam, Ricardo Schrödinger’s equation from Snell’s law. (English) Zbl 1521.81069 Eur. J. Phys. 43, No. 3, Article ID 035402, 11 p. (2022). MSC: 81Q05 78A45 35J05 70B05 81P05 PDFBibTeX XMLCite \textit{N. Lima} and \textit{R. Karam}, Eur. J. Phys. 43, No. 3, Article ID 035402, 11 p. (2022; Zbl 1521.81069) Full Text: DOI
Bhattacharya, Kolahal A complement to the scalar wave theory of light. (English) Zbl 1512.78001 Eur. J. Phys. 43, No. 3, Article ID 035305, 10 p. (2022). MSC: 78A05 81V70 97M50 35J05 35C07 42C40 35Q55 35Q60 PDFBibTeX XMLCite \textit{K. Bhattacharya}, Eur. J. Phys. 43, No. 3, Article ID 035305, 10 p. (2022; Zbl 1512.78001) Full Text: DOI arXiv
Berry, M. V. Quantum carpets in leaky boxes. (English) Zbl 1511.35302 Eur. J. Phys. 43, No. 5, Article ID 055403, 17 p. (2022). MSC: 35Q41 81V80 81V05 35B36 35J05 78A40 PDFBibTeX XMLCite \textit{M. V. Berry}, Eur. J. Phys. 43, No. 5, Article ID 055403, 17 p. (2022; Zbl 1511.35302) Full Text: DOI
Becker, Simon; Han, Rui Density of states and delocalization for discrete magnetic random Schrödinger operators. (English) Zbl 1507.81086 Int. Math. Res. Not. 2022, No. 17, 13447-13504 (2022). MSC: 81Q10 35J10 35R60 82D80 78A25 47L07 35C20 81V70 PDFBibTeX XMLCite \textit{S. Becker} and \textit{R. Han}, Int. Math. Res. Not. 2022, No. 17, 13447--13504 (2022; Zbl 1507.81086) Full Text: DOI arXiv
Filonov, N. D. The absence of eigenvalues for certain operators with partially periodic coefficients. (English. Russian original) Zbl 1497.35402 St. Petersbg. Math. J. 33, No. 5, 867-878 (2022); translation from Algebra Anal. 33, No. 5, 176-192 (2021). MSC: 35Q40 35Q60 35P10 78A30 PDFBibTeX XMLCite \textit{N. D. Filonov}, St. Petersbg. Math. J. 33, No. 5, 867--878 (2022; Zbl 1497.35402); translation from Algebra Anal. 33, No. 5, 176--192 (2021) Full Text: DOI
Mihalcea, Bogdan M. Quasienergy operators and generalized squeezed states for systems of trapped ions. (English) Zbl 1497.81057 Ann. Phys. 442, Article ID 168926, 26 p. (2022). MSC: 81Q10 81V70 35Q41 81R30 53D05 81Q05 47A10 76Q05 81V80 78A37 51A50 78A60 81V72 PDFBibTeX XMLCite \textit{B. M. Mihalcea}, Ann. Phys. 442, Article ID 168926, 26 p. (2022; Zbl 1497.81057) Full Text: DOI arXiv
Song, Jin; Zhou, Zijian; Weng, Weifang; Yan, Zhenya \(\mathcal{PT}\)-symmetric peakon solutions in self-focusing/defocusing power-law nonlinear media: stability, interactions and adiabatic excitations. (English) Zbl 1490.35453 Physica D 435, Article ID 133266, 14 p. (2022). MSC: 35Q55 81Q10 81R40 81V80 78A60 60H40 PDFBibTeX XMLCite \textit{J. Song} et al., Physica D 435, Article ID 133266, 14 p. (2022; Zbl 1490.35453) Full Text: DOI
Gómez, Sergio; Moiola, Andrea A space-time Trefftz discontinuous Galerkin method for the linear Schrödinger equation. (English) Zbl 1491.65093 SIAM J. Numer. Anal. 60, No. 2, 688-714 (2022). Reviewer: Yan Xu (Hefei) MSC: 65M60 78M10 35Q41 65M12 65M15 35B45 35J05 35A01 35A02 PDFBibTeX XMLCite \textit{S. Gómez} and \textit{A. Moiola}, SIAM J. Numer. Anal. 60, No. 2, 688--714 (2022; Zbl 1491.65093) Full Text: DOI arXiv
Zeng, Ding-fang Spontaneous radiation of black holes. (English) Zbl 1491.83036 Nucl. Phys., B 977, Article ID 115722, 54 p. (2022). MSC: 83C57 83C30 83C50 78A40 81Q05 81Q12 47A10 80A10 65E05 81P17 83C05 83C15 PDFBibTeX XMLCite \textit{D.-f. Zeng}, Nucl. Phys., B 977, Article ID 115722, 54 p. (2022; Zbl 1491.83036) Full Text: DOI arXiv
Belishev, Mikhail I.; Simonov, Sergey A. A canonical model of the one-dimensional dynamical Dirac system with boundary control. (English) Zbl 1491.35368 Evol. Equ. Control Theory 11, No. 1, 283-300 (2022). MSC: 35Q41 35B30 47N70 46N20 93B28 78A05 PDFBibTeX XMLCite \textit{M. I. Belishev} and \textit{S. A. Simonov}, Evol. Equ. Control Theory 11, No. 1, 283--300 (2022; Zbl 1491.35368) Full Text: DOI
Novikov, R. G.; Sivkin, V. N. Fixed-distance multipoint formulas for the scattering amplitude from phaseless measurements. (English) Zbl 1481.35405 Inverse Probl. 38, No. 2, Article ID 025012, 22 p. (2022). MSC: 35R30 35P25 35J10 35J25 78A46 PDFBibTeX XMLCite \textit{R. G. Novikov} and \textit{V. N. Sivkin}, Inverse Probl. 38, No. 2, Article ID 025012, 22 p. (2022; Zbl 1481.35405) Full Text: DOI HAL
Andrade-Neto, A. V.; Carneiro, B. P.; Rios, J. C.; Andrade, P. V. P. Analogies between optical physics and quantum mechanics. (English) Zbl 1527.81045 Eur. J. Phys. 42, No. 5, Article ID 055402, 23 p. (2021). MSC: 81Q05 78A10 35J05 30C80 81-01 78-01 PDFBibTeX XMLCite \textit{A. V. Andrade-Neto} et al., Eur. J. Phys. 42, No. 5, Article ID 055402, 23 p. (2021; Zbl 1527.81045) Full Text: DOI
Galeriu, Călin A derivation of the Doppler factor in the Liénard-Wiechert potentials. (English) Zbl 1527.81048 Eur. J. Phys. 42, No. 5, Article ID 055203, 5 p. (2021). MSC: 81Q05 78A45 78A35 53C20 31C12 35J05 PDFBibTeX XMLCite \textit{C. Galeriu}, Eur. J. Phys. 42, No. 5, Article ID 055203, 5 p. (2021; Zbl 1527.81048) Full Text: DOI arXiv
Balac, Stéphane; Dauge, Monique; Moitier, Zoïs Asymptotics for 2D whispering gallery modes in optical micro-disks with radially varying index. (English) Zbl 1491.78008 IMA J. Appl. Math. 86, No. 6, 1212-1265 (2021). MSC: 78A45 78A25 35J05 35J10 35C20 35B34 PDFBibTeX XMLCite \textit{S. Balac} et al., IMA J. Appl. Math. 86, No. 6, 1212--1265 (2021; Zbl 1491.78008) Full Text: DOI arXiv
de Oliveira, César R.; Monteiro, Wagner All self-adjoint extensions of the magnetic Laplacian in nonsmooth domains and gauge transformations. (English) Zbl 07481645 Ann. Sc. Norm. Super. Pisa, Cl. Sci. (5) 22, No. 4, 1805-1841 (2021). MSC: 47B25 35J10 35J25 35Q40 78A25 PDFBibTeX XMLCite \textit{C. R. de Oliveira} and \textit{W. Monteiro}, Ann. Sc. Norm. Super. Pisa, Cl. Sci. (5) 22, No. 4, 1805--1841 (2021; Zbl 07481645) Full Text: DOI arXiv
Eceizabarrena, Daniel The Talbot effect as the fundamental solution to the free Schrödinger equation. (English) Zbl 1477.35204 Port. Math. (N.S.) 78, No. 2, 233-253 (2021). MSC: 35Q41 46F10 35J05 78A05 PDFBibTeX XMLCite \textit{D. Eceizabarrena}, Port. Math. (N.S.) 78, No. 2, 233--253 (2021; Zbl 1477.35204) Full Text: DOI arXiv
Cossetti, Lucrezia; Mandel, Rainer A limiting absorption principle for Helmholtz systems and time-harmonic isotropic Maxwell’s equations. (English) Zbl 1479.35850 J. Funct. Anal. 281, No. 11, Article ID 109233, 41 p. (2021). MSC: 35Q61 35B45 35B20 35J05 35J10 35P15 78A25 PDFBibTeX XMLCite \textit{L. Cossetti} and \textit{R. Mandel}, J. Funct. Anal. 281, No. 11, Article ID 109233, 41 p. (2021; Zbl 1479.35850) Full Text: DOI arXiv Link
Cheng, Xiujun; Yan, Xiaoqiang; Qin, Hongyu; Wang, Huiru Optimal \(l^\infty\) error estimates of the conservative scheme for two-dimensional Schrödinger equations with wave operator. (English) Zbl 1524.65326 Comput. Math. Appl. 100, 74-82 (2021). MSC: 65M06 65M12 35Q55 65P10 35Q41 35B05 78A60 35Q60 78M20 PDFBibTeX XMLCite \textit{X. Cheng} et al., Comput. Math. Appl. 100, 74--82 (2021; Zbl 1524.65326) Full Text: DOI
Sorowen, Ben; Karuhanga, Martin Eigenvalue estimates for magnetic Schrödinger operators in a waveguide. (English) Zbl 1503.81029 Gulf J. Math. 11, No. 1, 65-72 (2021). MSC: 81Q10 81V10 78A30 81Q37 81Q70 35P15 PDFBibTeX XMLCite \textit{B. Sorowen} and \textit{M. Karuhanga}, Gulf J. Math. 11, No. 1, 65--72 (2021; Zbl 1503.81029) Full Text: Link
Díaz-Bautista, E.; Concha-Sánchez, Y.; Raya, A. Nonlinear coherent states for anisotropic 2D Dirac materials. (English) Zbl 1471.81047 Paranjape, M. B. (ed.) et al., Quantum theory and symmetries. Proceedings of the 11th international symposium, Montréal, Canada, July 1–5, 2019. Cham: Springer. CRM Ser. Math. Phys., 317-326 (2021). MSC: 81R30 81Q05 35Q55 81Q12 81S07 74E10 78A30 81V70 PDFBibTeX XMLCite \textit{E. Díaz-Bautista} et al., in: Quantum theory and symmetries. Proceedings of the 11th international symposium, Montréal, Canada, July 1--5, 2019. Cham: Springer. 317--326 (2021; Zbl 1471.81047) Full Text: DOI
Dohnal, Tomáš; Romani, Giulio Eigenvalue bifurcation in doubly nonlinear problems with an application to surface plasmon polaritons. (English) Zbl 1475.35221 NoDEA, Nonlinear Differ. Equ. Appl. 28, No. 1, Paper No. 9, 30 p. (2021); correction ibid. 30, No. 1, Paper No. 9, 5 p. (2023). Reviewer: Dmitry Pelinovsky (Hamilton) MSC: 35P30 35B32 35Q61 78A48 35Q55 PDFBibTeX XMLCite \textit{T. Dohnal} and \textit{G. Romani}, NoDEA, Nonlinear Differ. Equ. Appl. 28, No. 1, Paper No. 9, 30 p. (2021; Zbl 1475.35221) Full Text: DOI arXiv
Fernández, Francisco M. Comment on: “Quantum aspects of a moving magnetic quadrupole moment interacting with an electric field” [J. Math. Phys. 56, 062107 (2015)]. (English) Zbl 1456.81167 J. Math. Phys. 62, No. 1, Article ID 014101, 3 p. (2021). MSC: 81Q05 78M16 81Q10 78A35 PDFBibTeX XMLCite \textit{F. M. Fernández}, J. Math. Phys. 62, No. 1, Article ID 014101, 3 p. (2021; Zbl 1456.81167) Full Text: DOI
Odzijewicz, A.; Wawreniuk, E. An integrable (classical and quantum) four-wave mixing Hamiltonian system. (English) Zbl 1454.81085 J. Math. Phys. 61, No. 7, 073503, 18 p. (2020). MSC: 81Q10 70H05 81S08 53D17 78A60 81Q05 81V80 PDFBibTeX XMLCite \textit{A. Odzijewicz} and \textit{E. Wawreniuk}, J. Math. Phys. 61, No. 7, 073503, 18 p. (2020; Zbl 1454.81085) Full Text: DOI arXiv
Zhou, Zheng; Zhu, Bo; Wang, Haibin; Zhong, Honghua Stability and collisions of quantum droplets in \(\mathcal{PT}\)-symmetric dual-core couplers. (English) Zbl 1453.81023 Commun. Nonlinear Sci. Numer. Simul. 91, Article ID 105424, 12 p. (2020). MSC: 81Q05 35Q55 81V73 81R05 81Q12 78A37 82C26 81U05 35C08 PDFBibTeX XMLCite \textit{Z. Zhou} et al., Commun. Nonlinear Sci. Numer. Simul. 91, Article ID 105424, 12 p. (2020; Zbl 1453.81023) Full Text: DOI arXiv
López, José Luis Well-posedness of a Schrödinger-Poisson model describing nonlinear chiral effects. (English) Zbl 1450.35227 Nonlinearity 33, No. 9, 4837-4856 (2020). MSC: 35Q40 35Q41 35Q60 35A01 35A02 35J05 78A30 PDFBibTeX XMLCite \textit{J. L. López}, Nonlinearity 33, No. 9, 4837--4856 (2020; Zbl 1450.35227) Full Text: DOI
Novikov, R. G. Multipoint formulas for scattered far field in multidimensions. (English) Zbl 1467.35110 Inverse Probl. 36, No. 9, Article ID 095001, 12 p. (2020). Reviewer: David Kapanadze (Tbilisi) MSC: 35J05 78A46 PDFBibTeX XMLCite \textit{R. G. Novikov}, Inverse Probl. 36, No. 9, Article ID 095001, 12 p. (2020; Zbl 1467.35110) Full Text: DOI HAL
Behrndt, Jussi; Holzmann, Markus; Ourmières-Bonafos, Thomas; Pankrashkin, Konstantin Two-dimensional Dirac operators with singular interactions supported on closed curves. (English) Zbl 1446.35155 J. Funct. Anal. 279, No. 8, Article ID 108700, 46 p. (2020). MSC: 35Q41 81Q10 35S05 78A35 PDFBibTeX XMLCite \textit{J. Behrndt} et al., J. Funct. Anal. 279, No. 8, Article ID 108700, 46 p. (2020; Zbl 1446.35155) Full Text: DOI arXiv
de Oliveira, César R.; Romano, Renan G. A new version of the Aharonov-Bohm effect. (English) Zbl 1436.81052 Found. Phys. 50, No. 3, 137-146 (2020). MSC: 81Q70 81Q05 35J10 47B25 78A35 PDFBibTeX XMLCite \textit{C. R. de Oliveira} and \textit{R. G. Romano}, Found. Phys. 50, No. 3, 137--146 (2020; Zbl 1436.81052) Full Text: DOI arXiv
Isakov, Victor; Lu, Shuai; Xu, Boxi Linearized inverse Schrödinger potential problem at a large wavenumber. (English) Zbl 1430.35267 SIAM J. Appl. Math. 80, No. 1, 338-358 (2020). MSC: 35R30 65N21 78A46 35J05 PDFBibTeX XMLCite \textit{V. Isakov} et al., SIAM J. Appl. Math. 80, No. 1, 338--358 (2020; Zbl 1430.35267) Full Text: DOI arXiv
Ahmed, N. U. Nonlinear Schödinger equation and its optimal control using laser induced dynamic potential. (English) Zbl 1458.49004 Pure Appl. Funct. Anal. 4, No. 1, 1-19 (2019). MSC: 49J20 49J40 49K20 78M50 93C20 49N60 PDFBibTeX XMLCite \textit{N. U. Ahmed}, Pure Appl. Funct. Anal. 4, No. 1, 1--19 (2019; Zbl 1458.49004) Full Text: Link
Ma, Yu-Lan Interaction and energy transition between the breather and rogue wave for a generalized nonlinear Schrödinger system with two higher-order dispersion operators in optical fibers. (English) Zbl 1430.35210 Nonlinear Dyn. 97, No. 1, 95-105 (2019). MSC: 35Q55 78A60 35C08 37K40 37K35 35Q51 PDFBibTeX XMLCite \textit{Y.-L. Ma}, Nonlinear Dyn. 97, No. 1, 95--105 (2019; Zbl 1430.35210) Full Text: DOI
Anikin, A. Yu.; Brüning, J.; Dobrokhotov, S. Yu.; Vybornyi, E. V. Averaging and spectral bands for the 2-D magnetic Schrödinger operator with growing and one-direction periodic potential. (English) Zbl 1426.81034 Russ. J. Math. Phys. 26, No. 3, 265-276 (2019). MSC: 81Q05 81V10 81V80 35J10 34L10 78A30 35P05 PDFBibTeX XMLCite \textit{A. Yu. Anikin} et al., Russ. J. Math. Phys. 26, No. 3, 265--276 (2019; Zbl 1426.81034) Full Text: DOI
Singh, Sudha; Gilhare, Karuna Dynamical properties of intensity dependent two-mode Raman coupled model in a Kerr medium. (English) Zbl 1422.81189 Int. J. Theor. Phys. 58, No. 6, 1721-1744 (2019). MSC: 81V80 78A60 81Q05 PDFBibTeX XMLCite \textit{S. Singh} and \textit{K. Gilhare}, Int. J. Theor. Phys. 58, No. 6, 1721--1744 (2019; Zbl 1422.81189) Full Text: DOI
Li, Jingzhi; Liu, Hongyu; Ma, Shiqi Determining a random Schrödinger equation with unknown source and potential. (English) Zbl 1419.35185 SIAM J. Math. Anal. 51, No. 4, 3465-3491 (2019). MSC: 35Q60 35J05 31B10 35R30 78A40 PDFBibTeX XMLCite \textit{J. Li} et al., SIAM J. Math. Anal. 51, No. 4, 3465--3491 (2019; Zbl 1419.35185) Full Text: DOI arXiv
Briet, Philippe; Abdou-Soimadou, Hamza; Krejčiřík, David Spectral analysis of sheared nanoribbons. (English) Zbl 1415.35295 Z. Angew. Math. Phys. 70, No. 2, Paper No. 48, 18 p. (2019). MSC: 35R45 81Q10 35J10 58J50 78A50 PDFBibTeX XMLCite \textit{P. Briet} et al., Z. Angew. Math. Phys. 70, No. 2, Paper No. 48, 18 p. (2019; Zbl 1415.35295) Full Text: DOI arXiv
Viola Kusminskiy, Silvia Quantum magnetism, spin waves, and optical cavities. (English) Zbl 1419.81005 SpringerBriefs in Physics. Cham: Springer (ISBN 978-3-030-13344-3/pbk; 978-3-030-13345-0/ebook). vii, 90 p. (2019). Reviewer: Daniel A. Dubin (Milton Keynes) MSC: 81-02 81V80 78A40 78A25 81Q05 81Q10 22E40 81V45 81V10 82D20 00A79 PDFBibTeX XMLCite \textit{S. Viola Kusminskiy}, Quantum magnetism, spin waves, and optical cavities. Cham: Springer (2019; Zbl 1419.81005) Full Text: DOI arXiv
Ray, Santanu Saha A new numerical approach for single rational soliton solution of Chen-Lee-Liu equation with Riesz fractional derivative in optical fibers. (English) Zbl 1472.65130 Math. Methods Appl. Sci. 42, No. 1, 99-114 (2019). Reviewer: Weizhong Dai (Ruston) MSC: 65M70 65M06 35R11 78A60 35Q55 26A33 35E15 PDFBibTeX XMLCite \textit{S. S. Ray}, Math. Methods Appl. Sci. 42, No. 1, 99--114 (2019; Zbl 1472.65130) Full Text: DOI
Liang, Sihua; Zhang, Jihui Infinitely many solutions for the \(p\)-fractional Kirchhoff equations with electromagnetic fields and critical nonlinearity. (English) Zbl 1419.78019 Nonlinear Anal., Model. Control 23, No. 4, 599-618 (2018). MSC: 78M30 78A25 35R11 35Q55 PDFBibTeX XMLCite \textit{S. Liang} and \textit{J. Zhang}, Nonlinear Anal., Model. Control 23, No. 4, 599--618 (2018; Zbl 1419.78019) Full Text: DOI
Holzmann, Markus; Lotoreichik, Vladimir Spectral analysis of photonic crystals made of thin rods. (English) Zbl 1417.35188 Asymptotic Anal. 110, No. 1-2, 83-112 (2018). MSC: 35Q60 78A60 35R30 35J10 35B20 35P30 PDFBibTeX XMLCite \textit{M. Holzmann} and \textit{V. Lotoreichik}, Asymptotic Anal. 110, No. 1--2, 83--112 (2018; Zbl 1417.35188) Full Text: DOI arXiv
Neufeld, Ofer; Sharabi, Yonatan; Ben-Asher, Anael; Moiseyev, Nimrod Calculating bound states resonances and scattering amplitudes for arbitrary 1D potentials with piecewise parabolas. (English) Zbl 1411.81033 J. Phys. A, Math. Theor. 51, No. 47, Article ID 475301, 13 p. (2018). MSC: 81-08 81Q05 81Q12 35B34 35P05 81U05 35P25 78A50 PDFBibTeX XMLCite \textit{O. Neufeld} et al., J. Phys. A, Math. Theor. 51, No. 47, Article ID 475301, 13 p. (2018; Zbl 1411.81033) Full Text: DOI
Liang, Sihua; Repovš, Dušan; Zhang, Binlin On the fractional Schrödinger-Kirchhoff equations with electromagnetic fields and critical nonlinearity. (English) Zbl 1409.78002 Comput. Math. Appl. 75, No. 5, 1778-1794 (2018). MSC: 78A25 35Q60 PDFBibTeX XMLCite \textit{S. Liang} et al., Comput. Math. Appl. 75, No. 5, 1778--1794 (2018; Zbl 1409.78002) Full Text: DOI arXiv
Keller, Rachael T.; Marzuola, J. L.; Osting, B.; Weinstein, M. I. Spectral band degeneracies of \(\frac{\pi}{2}\)-rotationally invariant periodic Schrödinger operators. (English) Zbl 1412.35283 Multiscale Model. Simul. 16, No. 4, 1684-1731 (2018); erratum ibid. 18, No. 3, 1371-1373 (2020). MSC: 35Q40 35Q60 35P99 82B10 78A60 PDFBibTeX XMLCite \textit{R. T. Keller} et al., Multiscale Model. Simul. 16, No. 4, 1684--1731 (2018; Zbl 1412.35283) Full Text: DOI arXiv
Karasev, M.; Vybornyi, E. Bi-orbital states in hyperbolic traps. (English) Zbl 1406.81031 Russ. J. Math. Phys. 25, No. 4, 500-508 (2018). MSC: 81Q10 78A37 81Q05 81R05 78A35 14D21 PDFBibTeX XMLCite \textit{M. Karasev} and \textit{E. Vybornyi}, Russ. J. Math. Phys. 25, No. 4, 500--508 (2018; Zbl 1406.81031) 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 PDFBibTeX XMLCite \textit{D. Gobin}, Ann. Henri Poincaré 19, No. 10, 3089--3128 (2018; Zbl 1420.35467) Full Text: DOI arXiv
De Nittis, Giuseppe; Lein, Max The Schrödinger formalism of electromagnetism and other classical waves – how to make quantum-wave analogies rigorous. (English) Zbl 1398.35227 Ann. Phys. 396, 579-617 (2018). MSC: 35Q61 35Q60 81Q10 35P99 78A48 PDFBibTeX XMLCite \textit{G. De Nittis} and \textit{M. Lein}, Ann. Phys. 396, 579--617 (2018; Zbl 1398.35227) Full Text: DOI arXiv
Kholmatov, Shokhrukh Yu; Muminov, Zahriddin I. Existence of bound states of \(N\)-body problem in an optical lattice. (English) Zbl 1396.81081 J. Phys. A, Math. Theor. 51, No. 26, Article ID 265202, 24 p. (2018). MSC: 81Q05 81Q10 70F10 78A37 PDFBibTeX XMLCite \textit{S. Y. Kholmatov} and \textit{Z. I. Muminov}, J. Phys. A, Math. Theor. 51, No. 26, Article ID 265202, 24 p. (2018; Zbl 1396.81081) Full Text: DOI arXiv
Xu, Xiao-Chuan; Yang, Chuan-Fu Inverse scattering problems on a noncompact star graph. (English) Zbl 1405.78005 Inverse Probl. 34, No. 11, Article ID 115004, 12 p. (2018). Reviewer: David Kapanadze (Tbilisi) MSC: 78A46 34L25 34L40 34B05 34B45 47E05 PDFBibTeX XMLCite \textit{X.-C. Xu} and \textit{C.-F. Yang}, Inverse Probl. 34, No. 11, Article ID 115004, 12 p. (2018; Zbl 1405.78005) Full Text: DOI
Mantile, Andrea; Posilicano, Andrea; Sini, Mourad Uniqueness in inverse acoustic scattering with unbounded gradient across Lipschitz surfaces. (English) Zbl 1396.81211 J. Differ. Equations 265, No. 9, 4101-4132 (2018). MSC: 81U40 78A46 35J10 47B25 76Q05 PDFBibTeX XMLCite \textit{A. Mantile} et al., J. Differ. Equations 265, No. 9, 4101--4132 (2018; Zbl 1396.81211) Full Text: DOI arXiv
Haldane, F. D. M. A modular-invariant modified Weierstrass sigma-function as a building block for lowest-Landau-level wavefunctions on the torus. (English) Zbl 1394.81117 J. Math. Phys. 59, No. 7, 071901, 5 p. (2018). MSC: 81Q05 81Q10 81V70 78A35 33E05 11M36 14M25 PDFBibTeX XMLCite \textit{F. D. M. Haldane}, J. Math. Phys. 59, No. 7, 071901, 5 p. (2018; Zbl 1394.81117) Full Text: DOI arXiv
Cuenin, Jean-Claude; Siegl, Petr Eigenvalues of one-dimensional non-self-adjoint Dirac operators and applications. (English) Zbl 1402.34087 Lett. Math. Phys. 108, No. 7, 1757-1778 (2018). Reviewer: Mihai Pascu (Bucureşti) MSC: 34L15 34L40 34L05 78A50 PDFBibTeX XMLCite \textit{J.-C. Cuenin} and \textit{P. Siegl}, Lett. Math. Phys. 108, No. 7, 1757--1778 (2018; Zbl 1402.34087) Full Text: DOI arXiv Link
Fukushima, Yusuke; Wada, Tatsuaki A discrete transmission line model for discrete-time quantum walks. (English) Zbl 1470.81042 Interdiscip. Inf. Sci. 23, No. 1, 87-93 (2017). MSC: 81S25 60G50 35J05 81Q05 78A55 60G35 PDFBibTeX XMLCite \textit{Y. Fukushima} and \textit{T. Wada}, Interdiscip. Inf. Sci. 23, No. 1, 87--93 (2017; Zbl 1470.81042) Full Text: DOI
Kou, Su-Peng Kelvin wave and knot dynamics on entangled vortices. (English) Zbl 1426.81004 Int. J. Mod. Phys. B 31, No. 31, Article ID 1750241, 86 p. (2017). MSC: 81P05 81Q05 78A25 57K10 81T05 PDFBibTeX XMLCite \textit{S.-P. Kou}, Int. J. Mod. Phys. B 31, No. 31, Article ID 1750241, 86 p. (2017; Zbl 1426.81004) Full Text: DOI arXiv
Zhukovsky, K. V.; Srivastava, H. M. Analytical solutions for heat diffusion beyond Fourier law. (English) Zbl 1411.35251 Appl. Math. Comput. 293, 423-437 (2017). MSC: 35Q79 35C05 35K10 35L10 78A48 80A20 PDFBibTeX XMLCite \textit{K. V. Zhukovsky} and \textit{H. M. Srivastava}, Appl. Math. Comput. 293, 423--437 (2017; Zbl 1411.35251) Full Text: DOI
Nguyen, Thai Ngoc Radiation conditions for periodic potentials. (English) Zbl 1398.35002 Göttingen: Univ. Göttingen, Fakultät für Mathematik und Informatik (Diss.). iv, 84 p. (2017). MSC: 35-02 35Q55 81Q05 35J05 35P05 78A50 78A40 PDFBibTeX XMLCite \textit{T. N. Nguyen}, Radiation conditions for periodic potentials. Göttingen: Univ. Göttingen, Fakultät für Mathematik und Informatik (Diss.) (2017; Zbl 1398.35002) Full Text: Link Link
Karasev, M. V. Magneto-dimensional resonance. Pseudospin phase and hidden quantum number. (English) Zbl 1380.81503 Russ. J. Math. Phys. 24, No. 3, 326-335 (2017). MSC: 81V70 81Q10 35J10 78A37 PDFBibTeX XMLCite \textit{M. V. Karasev}, Russ. J. Math. Phys. 24, No. 3, 326--335 (2017; Zbl 1380.81503) Full Text: DOI
Kim, C. S.; Pashin, D. S.; Satanin, A. M. Quantum dissipative dynamics a particle in a double-well potential. (English) Zbl 1378.81027 Lobachevskii J. Math. 38, No. 5, 931-935 (2017). MSC: 81Q05 81Q10 35B34 78A37 PDFBibTeX XMLCite \textit{C. S. Kim} et al., Lobachevskii J. Math. 38, No. 5, 931--935 (2017; Zbl 1378.81027) Full Text: DOI
Lakaev, Saidakhmat N.; Lakaev, Shukhrat S. The existence of bound states in a system of three particles in an optical lattice. (English) Zbl 1373.81210 J. Phys. A, Math. Theor. 50, No. 33, Article ID 335202, 17 p. (2017). MSC: 81Q10 35J10 81Q35 78A37 35P05 70F07 PDFBibTeX XMLCite \textit{S. N. Lakaev} and \textit{S. S. Lakaev}, J. Phys. A, Math. Theor. 50, No. 33, Article ID 335202, 17 p. (2017; Zbl 1373.81210) Full Text: DOI arXiv
Hasanov Hasanoğlu, Alemdar; Romanov, Vladimir G. Introduction to inverse problems for differential equations. (English) Zbl 1385.65053 Cham: Springer (ISBN 978-3-319-62796-0/hbk; 978-3-319-62797-7/ebook). xiii, 261 p. (2017). Reviewer: Robert Plato (Siegen) MSC: 65M32 65R20 35-02 34A55 35R30 44A12 47A52 47J06 47J25 65N21 78A46 80A23 35Q61 65-02 65J22 65J20 PDFBibTeX XMLCite \textit{A. Hasanov Hasanoğlu} and \textit{V. G. Romanov}, Introduction to inverse problems for differential equations. Cham: Springer (2017; Zbl 1385.65053) Full Text: DOI
Borcea, Liliana; Guevara Vasquez, Fernando; Mamonov, Alexander V. A discrete Liouville identity for numerical reconstruction of Schrödinger potentials. (English) Zbl 1377.35284 Inverse Probl. Imaging 11, No. 4, 623-641 (2017). MSC: 35R30 05C22 35J10 05C50 78A46 PDFBibTeX XMLCite \textit{L. Borcea} et al., Inverse Probl. Imaging 11, No. 4, 623--641 (2017; Zbl 1377.35284) Full Text: DOI arXiv
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 PDFBibTeX XMLCite \textit{H. D. Cornean} et al., J. Funct. Anal. 273, No. 1, 206--282 (2017; Zbl 1372.35255) Full Text: DOI arXiv
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 PDFBibTeX XMLCite \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
Bruneau, Vincent; Sambou, Diomba Spectral clusters for magnetic exterior problems. (English) Zbl 1405.35192 Mantoiu, Marius (ed.) et al., Spectral theory and mathematical physics. Proceedings of the conference, Santiago, Chile, November 2014. Basel: Birkhäuser/Springer (ISBN 978-3-319-29990-7/hbk; 978-3-319-29992-1/ebook). Operator Theory: Advances and Applications 254, 57-70 (2016). MSC: 35Q55 35B34 81Q10 35J10 47F05 47G30 35P20 78A30 PDFBibTeX XMLCite \textit{V. Bruneau} and \textit{D. Sambou}, Oper. Theory: Adv. Appl. 254, 57--70 (2016; Zbl 1405.35192) Full Text: DOI
Olendski, O. Theory of the Robin quantum wall in a linear potential. I: Energy spectrum, polarization and quantum-information measures. (English) Zbl 1357.81083 Ann. Phys., Berlin 528, No. 11-12, 865-881 (2016). MSC: 81Q05 81Q10 81V70 81P45 94A17 78A25 PDFBibTeX XMLCite \textit{O. Olendski}, Ann. Phys., Berlin 528, No. 11--12, 865--881 (2016; Zbl 1357.81083) Full Text: DOI arXiv
Liu, Weiming; Wang, Chunhua Infinitely many solutions for a nonlinear Schrödinger equation with non-symmetric electromagnetic fields. (English) Zbl 1356.35224 Discrete Contin. Dyn. Syst. 36, No. 12, 7081-7115 (2016). MSC: 35Q55 35J10 35B99 35J60 78A60 78M34 PDFBibTeX XMLCite \textit{W. Liu} and \textit{C. Wang}, Discrete Contin. Dyn. Syst. 36, No. 12, 7081--7115 (2016; Zbl 1356.35224) Full Text: DOI arXiv
Zhu, Xiaoli; Li, Fuyi; Liang, Zhanping Existence of ground state solutions to a generalized quasilinear Schrödinger-Maxwell system. (English) Zbl 1353.35128 J. Math. Phys. 57, No. 10, 101505, 15 p. (2016). MSC: 35G50 81Q40 35Q55 35Q61 78A35 81Q10 PDFBibTeX XMLCite \textit{X. Zhu} et al., J. Math. Phys. 57, No. 10, 101505, 15 p. (2016; Zbl 1353.35128) Full Text: DOI
Lakaev, Saidakhmat N.; Dell’Antonio, Gianfausto; Khalkhuzhaev, Ahmad M. Existence of an isolated band in a system of three particles in an optical lattice. (English) Zbl 1342.81123 J. Phys. A, Math. Theor. 49, No. 14, Article ID 145204, 15 p. (2016). MSC: 81Q10 81Q05 78A37 PDFBibTeX XMLCite \textit{S. N. Lakaev} et al., J. Phys. A, Math. Theor. 49, No. 14, Article ID 145204, 15 p. (2016; Zbl 1342.81123) Full Text: DOI arXiv
Goffeng, Magnus; Kachmar, Ayman; Persson Sundqvist, Mikael Clusters of eigenvalues for the magnetic Laplacian with Robin condition. (English) Zbl 1355.81073 J. Math. Phys. 57, No. 6, 063510, 19 p. (2016). Reviewer: Nikolaos L. Tsitsas (Athens) MSC: 81Q05 81Q10 78A30 35J10 35G15 35P05 PDFBibTeX XMLCite \textit{M. Goffeng} et al., J. Math. Phys. 57, No. 6, 063510, 19 p. (2016; Zbl 1355.81073) Full Text: DOI arXiv Link
Ojeda-Guillén, D.; Mota, R. D.; Granados, V. D. A generalized Jaynes-Cummings model: the relativistic parametric amplifier and a single trapped ion. (English) Zbl 1341.81053 J. Math. Phys. 57, No. 6, 062104, 9 p. (2016). MSC: 81V80 81Q05 81Q10 81R30 81R20 78A37 PDFBibTeX XMLCite \textit{D. Ojeda-Guillén} et al., J. Math. Phys. 57, No. 6, 062104, 9 p. (2016; Zbl 1341.81053) Full Text: DOI arXiv
Menouar, Salah; Choi, Jeong Ryeol A hybrid approach for quantizing complicated motion of a charged particle in time-varying magnetic field. (English) Zbl 1343.81077 Ann. Phys. 353, 307-316 (2015). MSC: 81Q05 78A35 81R05 PDFBibTeX XMLCite \textit{S. Menouar} and \textit{J. R. Choi}, Ann. Phys. 353, 307--316 (2015; Zbl 1343.81077) Full Text: DOI
Bonheure, Denis; Nascimento, Robson Waveguide solutions for a nonlinear Schrödinger equation with mixed dispersion. (English) Zbl 1334.35310 Carvalho, Alexandre N. (ed.) et al., Contributions to nonlinear elliptic equations and systems. A tribute to Djairo Guedes de Figueiredo on the occasion of his 80th birthday. Cham: Birkhäuser/Springer (ISBN 978-3-319-19901-6/hbk; 978-3-319-19902-3/ebook). Progress in Nonlinear Differential Equations and Their Applications 86, 31-53 (2015). MSC: 35Q55 35J61 78A50 35J10 49K20 35J60 78A60 35B40 PDFBibTeX XMLCite \textit{D. Bonheure} and \textit{R. Nascimento}, Prog. Nonlinear Differ. Equ. Appl. 86, 31--53 (2015; Zbl 1334.35310) Full Text: DOI Link
Band, Ram; Berkolaiko, Gregory; Weyand, Tracy Anomalous nodal count and singularities in the dispersion relation of honeycomb graphs. (English) Zbl 1335.81078 J. Math. Phys. 56, No. 12, 122111, 20 p. (2015). Reviewer: Jonathan Rohleder (Hamburg) MSC: 81Q35 81Q05 81U30 47A48 78A25 46F10 PDFBibTeX XMLCite \textit{R. Band} et al., J. Math. Phys. 56, No. 12, 122111, 20 p. (2015; Zbl 1335.81078) Full Text: DOI arXiv
Smirnov, A. G. Reduction by symmetries in singular quantum-mechanical problems: general scheme and application to Aharonov-Bohm model. (English) Zbl 1330.81095 J. Math. Phys. 56, No. 12, 122101, 50 p. (2015). MSC: 81Q10 81R05 47B25 81Q05 47A15 78A35 PDFBibTeX XMLCite \textit{A. G. Smirnov}, J. Math. Phys. 56, No. 12, 122101, 50 p. (2015; Zbl 1330.81095) Full Text: DOI arXiv
Mehringer, Josef; Stockmeyer, Edgardo Ballistic dynamics of Dirac particles in electro-magnetic fields. (English) Zbl 1325.81084 J. Lond. Math. Soc., II. Ser. 92, No. 2, 465-482 (2015). MSC: 81Q10 46N50 81Q05 78A35 PDFBibTeX XMLCite \textit{J. Mehringer} and \textit{E. Stockmeyer}, J. Lond. Math. Soc., II. Ser. 92, No. 2, 465--482 (2015; Zbl 1325.81084) Full Text: DOI arXiv
Fonseca, I. C.; Bakke, K. Quantum aspects of a moving magnetic quadrupole moment interacting with an electric field. (English) Zbl 1317.81099 J. Math. Phys. 56, No. 6, 062107, 7 p. (2015). MSC: 81Q05 78M16 81Q10 78A35 PDFBibTeX XMLCite \textit{I. C. Fonseca} and \textit{K. Bakke}, J. Math. Phys. 56, No. 6, 062107, 7 p. (2015; Zbl 1317.81099) Full Text: DOI
Pereskokov, A. V. Asymptotics of the Hartree operator spectrum near the upper boundaries of spectral clusters: asymptotic solutions localized near a circle. (English. Russian original) Zbl 1327.81200 Theor. Math. Phys. 183, No. 1, 516-526 (2015); translation from Teor. Mat. Fiz. 183, No. 1, 78-89 (2015). MSC: 81Q10 78A60 35J10 35P20 PDFBibTeX XMLCite \textit{A. V. Pereskokov}, Theor. Math. Phys. 183, No. 1, 516--526 (2015; Zbl 1327.81200); translation from Teor. Mat. Fiz. 183, No. 1, 78--89 (2015) Full Text: DOI
Leclerc, Arnaud; Jolicard, Georges Global integration of the Schrödinger equation: a short iterative scheme within the wave operator formalism using discrete Fourier transforms. (English) Zbl 1316.81098 J. Phys. A, Math. Theor. 48, No. 22, Article ID 225205, 25 p. (2015). MSC: 81V80 34L30 35Q55 81Q05 65T60 78A60 35J10 35Q41 PDFBibTeX XMLCite \textit{A. Leclerc} and \textit{G. Jolicard}, J. Phys. A, Math. Theor. 48, No. 22, Article ID 225205, 25 p. (2015; Zbl 1316.81098) Full Text: DOI arXiv
Lin, Junshan; Santosa, Fadil Scattering resonances for a two-dimensional potential well with a thick barrier. (English) Zbl 1321.35119 SIAM J. Math. Anal. 47, No. 2, 1458-1488 (2015). Reviewer: Takashi Ichinose (Kanazawa) MSC: 35P25 35B34 35J10 35B20 35P30 78A45 PDFBibTeX XMLCite \textit{J. Lin} and \textit{F. Santosa}, SIAM J. Math. Anal. 47, No. 2, 1458--1488 (2015; Zbl 1321.35119) Full Text: DOI Link
Fang, Yan-Long; Vassiliev, Dmitri Analysis as a source of geometry: a non-geometric representation of the Dirac equation. (English) Zbl 1312.81062 J. Phys. A, Math. Theor. 48, No. 16, Article ID 165203, 19 p. (2015). MSC: 81Q05 81Q10 81S10 81Q35 78A25 70S15 83A05 PDFBibTeX XMLCite \textit{Y.-L. Fang} and \textit{D. Vassiliev}, J. Phys. A, Math. Theor. 48, No. 16, Article ID 165203, 19 p. (2015; Zbl 1312.81062) Full Text: DOI arXiv
Maia, Liliane A.; Ruviaro, Ricardo Positive and nodal solutions of nonlinear Schrödinger equations in a saturable medium. (English) Zbl 1316.35265 Adv. Nonlinear Stud. 15, No. 1, 191-219 (2015). MSC: 35Q55 35J10 35J20 35B40 35B09 78A60 PDFBibTeX XMLCite \textit{L. A. Maia} and \textit{R. Ruviaro}, Adv. Nonlinear Stud. 15, No. 1, 191--219 (2015; Zbl 1316.35265) Full Text: DOI