Israel, Arie; Mayeli, Azita On the eigenvalue distribution of spatio-spectral limiting operators in higher dimensions. (English) Zbl 1535.33027 Appl. Comput. Harmon. Anal. 70, Article ID 101620, 28 p. (2024). MSC: 33E10 33C55 42C05 42C15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ifrim, Mihaela; Tataru, Daniel Testing by wave packets and modified scattering in nonlinear dispersive PDE’s. (English) Zbl 1532.35326 Trans. Am. Math. Soc., Ser. B 11, 164-214 (2024). MSC: 35P25 35Q55 76B15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Heß, Max; Schneider, Guido A robust way to justify the derivative NLS approximation. (English) Zbl 1533.35313 Z. Angew. Math. Phys. 74, No. 6, Paper No. 224, 20 p. (2023). Reviewer: Xiaoming He (Beijing) MSC: 35Q55 35A35 35B34 35A10 35B20 35C07 35B05 × Cite Format Result Cite Review PDF Full Text: DOI
Fermanian Kammerer, Clotilde; Gamble, Stephanie; Hari, Lysianne Propagation of coherent states through conical intersections. (English) Zbl 1518.35094 Pure Appl. Anal. 5, No. 2, 323-376 (2023). MSC: 35B40 35G35 35Q40 35Q41 81Q05 81Q20 81R30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv HAL
Albrecht, I.; Herrmann, J.; Mariani, A.; Wiese, U.-J.; Wyss, V. Bouncing wave packets, Ehrenfest theorem, and uncertainty relation based upon a new concept for the momentum of a particle in a box. (English) Zbl 1522.81152 Ann. Phys. 452, Article ID 169289, 28 p. (2023). MSC: 81S07 81Q20 81R30 81Q12 57R67 35G15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Miao, Borui; Russo, Giovanni; Zhou, Zhennan A novel spectral method for the semiclassical Schrödinger equation based on the Gaussian wave-packet transform. (English) Zbl 07673887 IMA J. Numer. Anal. 43, No. 2, 1221-1261 (2023). MSC: 65Mxx × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Li, Bang-Qing; Ma, Yu-Lan A complex short pulse system in optical-fiber communications: rogue waves and phase transitions. (English) Zbl 1498.78033 Appl. Math. Lett. 135, Article ID 108399, 7 p. (2023). MSC: 78A60 35Q60 37K35 37K40 37K10 35C08 × Cite Format Result Cite Review PDF Full Text: DOI
Arnaiz, Víctor Construction of quasimodes for non-selfadjoint operators via propagation of Hagedorn wave-packets. (English) Zbl 1498.35371 J. Spectr. Theory 12, No. 2, 745-812 (2022). MSC: 35P20 35H10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Wang, Hong A restriction estimate in \(\mathbb{R}^3\) using brooms. (English) Zbl 1492.42007 Duke Math. J. 171, No. 8, 1749-1822 (2022). Reviewer: Elijah Liflyand (Ramat-Gan) MSC: 42B10 42B20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Didenkulova, E. Mixed turbulence of breathers and narrowband irregular waves: mKdV framework. (English) Zbl 1539.35215 Physica D 432, Article ID 133130, 12 p. (2022). MSC: 35Q53 × Cite Format Result Cite Review PDF Full Text: DOI
Kharchenko, D. S. The shape of wave-packets in a three-layer hydrodynamic system. (Ukrainian. English summary) Zbl 1499.76050 Visn. Khark. Univ., Ser. Mat. Prykl. Mat. Mekh. 94, 77-90 (2021). MSC: 76E30 76A02 76B15 76M35 × Cite Format Result Cite Review PDF Full Text: DOI
Luciano, Giuseppe Gaetano Inertial effects on neutrino oscillations and decoherence: a wave packet approach. (English) Zbl 1483.81153 Phys. Lett., B 823, Article ID 136772, 6 p. (2021). MSC: 81V15 81V17 81S22 81R30 81Q05 81P16 × Cite Format Result Cite Review PDF Full Text: DOI
Kammerer, Clotilde Fermanian; Lasser, Caroline; Robert, Didier Adiabatic and non-adiabatic evolution of wave packets and applications to initial value representations. (English) Zbl 1479.35975 Exner, Pavel (ed.) et al., Partial differential equations, spectral theory, and mathematical physics. The Ari Laptev anniversary volume. Berlin: European Mathematical Society (EMS). EMS Ser. Congr. Rep., 89-113 (2021). MSC: 35S10 35C20 35Q41 81Q05 81Q20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv HAL
Gavrus, Cristian; Jao, Casey; Tataru, Daniel Wave maps on \((1+2)\)-dimensional curved spacetimes. (English) Zbl 1475.35196 Anal. PDE 14, No. 4, 985-1084 (2021). MSC: 35L15 35L72 35R01 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Cordero, Elena; Nicola, Fabio; Trapasso, S. Ivan Dispersion, spreading and sparsity of Gabor wave packets for metaplectic and Schrödinger operators. (English) Zbl 1482.43006 Appl. Comput. Harmon. Anal. 55, 405-425 (2021). MSC: 43A65 35S05 42B35 81S30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Deepshikha; Jyoti A note on discrete wave packet frames in \(\mathbb{C}^N\). (English) Zbl 1471.42062 Int. J. Wavelets Multiresolut. Inf. Process. 19, No. 4, Article ID 2150006, 9 p. (2021). MSC: 42C15 42C30 42C40 × Cite Format Result Cite Review PDF Full Text: DOI
Fermanian-Kammerer, Clotilde; Lasser, Caroline; Robert, Didier Propagation of wave packets for systems presenting codimension one crossings. (English) Zbl 1471.81020 Commun. Math. Phys. 385, No. 3, 1695-1739 (2021). Reviewer: Eric Stachura (Marietta) MSC: 81Q05 81Q10 35Q41 35S10 47S30 81V55 82D25 82C26 81R30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Allilueva, A. I.; Shafarevich, A. I. Reflection and refraction of Lagrangian manifolds corresponding to short-wave solutions of the wave equation with an abruptly varying velocity. (English) Zbl 1468.35033 Russ. J. Math. Phys. 28, No. 2, 137-146 (2021). MSC: 35C20 35C10 35L15 × Cite Format Result Cite Review PDF Full Text: DOI
Dewez, Florent Stability of propagation features under time-asymptotic approximations for a class of dispersive equations. (English) Zbl 1447.35053 J. Math. Anal. Appl. 491, No. 1, Article ID 124292, 30 p. (2020). MSC: 35B40 35Q41 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Sailaubek, D. A.; Rubtsova, O. A.; Kukulin, V. I. Complex-range gaussians as a basis for treatment of charged particle scattering. (English) Zbl 1437.81112 Orr, N. A. (ed.) et al., Recent progress in few-body physics. Proceedings of the 22nd international conference on few-body problems in physics, FB22, Caen, France, July 9–13, 2018. Cham: Springer. Springer Proc. Phys. 238, 287-291 (2020). MSC: 81U05 39A12 81V35 81V10 × Cite Format Result Cite Review PDF Full Text: DOI
Allilueva, A. I.; Shafarevich, A. I. Short-wave asymptotic solutions of the wave equation with localized perturbations of the velocity. (English) Zbl 1441.35150 Russ. J. Math. Phys. 27, No. 2, 145-154 (2020). MSC: 35L15 35B27 × Cite Format Result Cite Review PDF Full Text: DOI
Dohnal, Tomáš; Wahlers, Lisa Coupled mode equations and gap solitons in higher dimensions. (English) Zbl 1437.35621 J. Differ. Equations 269, No. 3, 2386-2418 (2020). MSC: 35Q55 35Q60 35L71 41A60 35C08 78A60 35B40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Zhou, Zhennan; Russo, Giovanni The Gaussian wave packet transform for the semi-classical Schrödinger equation with vector potentials. (English) Zbl 1473.65250 Commun. Comput. Phys. 26, No. 2, 469-505 (2019). MSC: 65M70 35Q41 74Q10 65Z05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Rosas-Ortiz, Oscar Coherent and squeezed states: introductory review of basic notions, properties, and generalizations. (English) Zbl 1425.81056 Kuru, Şengül (ed.) et al., Integrability, supersymmetry and coherent states. A volume in honour of Professor Véronique Hussin. In part selected contributions from the 6th international workshop on new challenges in quantum mechanics: integrability and supersymmetry, Valladolid, Spain, June 27–30, 2017. Cham: Springer. CRM Ser. Math. Phys., 187-230 (2019). MSC: 81R30 81V80 81P15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Savenkov, I. V. Influence of inertia of a compliant surface on viscous instability of an incompressible boundary layer. (English. Russian original) Zbl 1448.76079 Comput. Math. Math. Phys. 59, No. 4, 667-675 (2019); translation from Zh. Vychisl. Mat. Mat. Fiz. 59, No. 4, 707-715 (2019). MSC: 76D10 74F10 76D33 × Cite Format Result Cite Review PDF Full Text: DOI
Kaptsov, O. V.; Kaptsov, D. O. Waves and structures in the Boussinesq equations. (English. Russian original) Zbl 1418.76016 J. Appl. Mech. Tech. Phys. 60, No. 2, 377-381 (2019); translation from Prikl. Mekh. Tekh. Fiz. 60, No. 2, 220-225 (2019). MSC: 76B15 35Q35 35C08 × Cite Format Result Cite Review PDF Full Text: DOI
Ohsawa, Tomoki The Hagedorn-Hermite correspondence. (English) Zbl 1418.81023 J. Fourier Anal. Appl. 25, No. 4, 1513-1552 (2019). MSC: 81Q05 20C35 22E70 81Q20 81Q70 81R05 81R30 81S10 81S30 33C45 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Punoševac, Predrag; Robinson, Sam L. Dynamics of uncertainties for one-dimensional semiclassical wave packets: isochronicity, scattering, and capture. (English) Zbl 1414.81115 J. Math. Phys. 60, No. 5, 052106, 14 p. (2019). MSC: 81Q20 81Q05 81U05 81S05 62J10 × Cite Format Result Cite Review PDF Full Text: DOI
Bejenaru, Ioan Optimal multilinear restriction estimates for a class of hypersurfaces with curvature. (English) Zbl 1403.42008 Anal. PDE 12, No. 4, 1115-1148 (2019). MSC: 42B15 42B25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Castellanos-Jaramillo, Alejandro; Castellanos-Moreno, Arnulfo Spatial and temporal description of electron diffraction through a double slit at the nanometer scale. (English) Zbl 07670131 Eur. J. Phys. 39, No. 6, Article ID 065403, 18 p. (2018). MSC: 81-XX 82-XX × Cite Format Result Cite Review PDF Full Text: DOI
Graefe, E. M.; Longstaff, B.; Plastow, T.; Schubert, R. Lindblad dynamics of Gaussian states and their superpositions in the semiclassical limit. (English) Zbl 1397.81098 J. Phys. A, Math. Theor. 51, No. 36, Article ID 365203, 20 p. (2018). MSC: 81R30 81Q20 81S30 47D07 62J10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Xu, Meiyu; Lu, Dayong; Fan, Qibin Construction of \(J^{\text{th}}\)-stage discrete periodic wave packet frames. (English) Zbl 1394.42026 Appl. Anal. 97, No. 11, 1846-1866 (2018). MSC: 42C15 42C40 × Cite Format Result Cite Review PDF Full Text: DOI
Popov, S. P. Compactons and Riemann waves of an extended modified Korteweg-de Vries equation with nonlinear dispersion. (English. Russian original) Zbl 1398.35204 Comput. Math. Math. Phys. 58, No. 3, 437-448 (2018); translation from Zh. Vychisl. Mat. Mat. Fiz. 58, No. 3, 459-472 (2018). MSC: 35Q53 35C08 35Q51 × Cite Format Result Cite Review PDF Full Text: DOI
Brevdo, Leo Absolute and convective instabilities of semi-bounded spatially developing flows. (English. Russian original) Zbl 1472.76043 Proc. Steklov Inst. Math. 300, 13-33 (2018); translation from Tr. Mat. Inst. Steklova 300, 19-41 (2018). MSC: 76E15 37C75 × Cite Format Result Cite Review PDF Full Text: DOI
Kumar, Rakesh; Kumar, Sachin; Singh, Yogendra Applications of wavelet packets to Euler-Bernoulli equation and frequency domain analysis. (English) Zbl 1452.65421 J. Rajasthan Acad. Phys. Sci. 16, No. 3-4, 137-154 (2017). MSC: 65T60 34A35 42C40 × Cite Format Result Cite Review PDF
Strekalov, Mikhail L. The perfect revival time of localized wave packet consisting of superposition of bound states with an arbitrary energy spectrum. (English) Zbl 1382.81092 J. Math. Chem. 55, No. 2, 407-412 (2017). MSC: 81Q05 × Cite Format Result Cite Review PDF Full Text: DOI
Schneider, Guido; Uecker, Hannes Nonlinear PDEs. A dynamical systems approach. (English) Zbl 1402.35001 Graduate Studies in Mathematics 182. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-3613-1/hbk; 978-1-4704-4228-6/ebook). xiii, 575 p. (2017). Reviewer: Dmitry Pelinovsky (Hamilton) MSC: 35-01 35Q53 35Q55 37Kxx 35Bxx 35Q56 35Q30 × Cite Format Result Cite Review PDF Full Text: DOI
Dietert, Helge; Keller, Johannes; Troppmann, Stephanie An invariant class of wave packets for the Wigner transform. (English) Zbl 1376.81018 J. Math. Anal. Appl. 450, No. 2, 1317-1332 (2017). MSC: 81Q05 81S30 62H86 33C45 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Christensen, Ole; Hasannasab, Marzieh; Lemvig, Jakob Explicit constructions and properties of generalized shift-invariant systems in \(L^{2}(\mathbb {R})\). (English) Zbl 1376.42041 Adv. Comput. Math. 43, No. 2, 443-472 (2017). Reviewer: Ghanshyam Bhatt (Nashville) MSC: 42C15 43A70 43A32 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Jakubský, Vít; Tušek, Matěj Dispersionless wave packets in Dirac materials. (English) Zbl 1367.81070 Ann. Phys. 378, 171-182 (2017). MSC: 81Q80 81V80 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bejenaru, Ioan The optimal trilinear restriction estimate for a class of hypersurfaces with curvature. (English) Zbl 1361.42007 Adv. Math. 307, 1151-1183 (2017). Reviewer: Wen Yuan (Beijing) MSC: 42B10 42B15 42B25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Xie, Xi-Yang; Tian, Bo; Jiang, Yan; Sun, Wen-Rong; Sun, Ya; Gao, Yi-Tian Rogue-wave solutions for an inhomogeneous nonlinear system in a geophysical fluid or inhomogeneous optical medium. (English) Zbl 1470.35294 Commun. Nonlinear Sci. Numer. Simul. 36, 266-272 (2016). MSC: 35Q35 35Q86 78A40 76B15 76D33 × Cite Format Result Cite Review PDF Full Text: DOI
Cruz, Hans; Schuch, Dieter; Castaños, Octavio; Rosas-Ortiz, Oscar Time-evolution of quantum systems via a complex nonlinear Riccati equation. II: Dissipative systems. (English) Zbl 1380.81171 Ann. Phys. 373, 609-630 (2016). MSC: 81S05 37L50 34M25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Després, Bruno; Weder, Ricardo Hybrid resonance and long-time asymptotic of the solution to Maxwell’s equations. (English) Zbl 1364.35355 Phys. Lett., A 380, No. 13, 1284-1289 (2016). MSC: 35Q61 35B40 35B34 82D10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Longhi, Stefano Accelerated and Airy-Bloch oscillations. (English) Zbl 1348.81254 Int. J. Mod. Phys. B 30, No. 26, Article ID 1650189, 18 p. (2016). MSC: 81Q80 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ifrim, Mihaela; Tataru, Daniel Two dimensional water waves in holomorphic coordinates. II: Global solutions. (Ondes aquatiques de dimension 2 en coordonnées holomorphes II : solutions globales.) (English) Zbl 1360.35179 Bull. Soc. Math. Fr. 144, No. 2, 369-394 (2016). Reviewer: Cyril Godey (Besançon) MSC: 35Q35 76B15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Strekalov, Mikhail L. Revival features in wave packet dynamics of a particle confined in a Morse potential: the binomial distribution. (English) Zbl 1345.81162 J. Math. Chem. 54, No. 5, 1134-1145 (2016). MSC: 81V55 × Cite Format Result Cite Review PDF Full Text: DOI
Nicola, Fabio Convergence in \(L^{p}\) for Feynman path integrals. (English) Zbl 1336.81034 Adv. Math. 294, 384-409 (2016). MSC: 81Q05 81Q30 35S30 42B20 46E35 35Q41 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Berczynski, Pawel 3D wave-packet propagation in inhomogeneous and nonlinear media of Kerr type. (English) Zbl 1454.78011 Wave Motion 56, 100-121 (2015). MSC: 78A40 × Cite Format Result Cite Review PDF Full Text: DOI
Cruz, Hans; Schuch, Dieter; Castaños, Octavio; Rosas-Ortiz, Oscar Time-evolution of quantum systems via a complex nonlinear Riccati equation. I: Conservative systems with time-independent Hamiltonian. (English) Zbl 1360.81139 Ann. Phys. 360, 44-60 (2015). MSC: 81Q05 81R30 81Q65 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Hagedorn, George A. Generating function and a Rodrigues formula for the polynomials in \(d\)-dimensional semiclassical wave packets. (English) Zbl 1343.81100 Ann. Phys. 362, 603-608 (2015). MSC: 81Q20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Boudlal, Abdelaziz; Liapidevskii, V. Yu. Roll waves in channels with an active gas phase. (English. Russian original) Zbl 1381.76358 J. Appl. Mech. Tech. Phys. 56, No. 4, 541-548 (2015); translation from Prikl. Mekh. Tekh. Fiz. 56, No. 4, 3-11 (2015). MSC: 76T10 35Q35 × Cite Format Result Cite Review PDF Full Text: DOI
Naumov, Vadim A.; Shkirmanov, Dmitry S. Covariant asymmetric wave packet for a field-theoretical description of neutrino oscillations. (English) Zbl 1332.81253 Mod. Phys. Lett. A 30, No. 24, Article ID 1550110, 17 p. (2015). MSC: 81V15 81R20 81R30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Andersson, Fredrik; de Hoop, Maarten V.; Wendt, Herwig Multiscale reverse-time-migration-type imaging using the dyadic parabolic decomposition of phase space. (English) Zbl 1328.65219 SIAM J. Imaging Sci. 8, No. 4, 2383-2411 (2015). MSC: 65M99 35L05 65T40 86A15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv HAL
Schenker, Jeffrey Diffusion in the mean for an ergodic Schrödinger equation perturbed by a fluctuating potential. (English) Zbl 1335.82014 Commun. Math. Phys. 339, No. 3, 859-901 (2015). Reviewer: Piotr Garbaczewski (Opole) MSC: 82B44 82B20 60F05 60J10 60J60 81Q05 35Q41 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Dai, Wei; Lu, Guozhen \(L^p\) estimates for bilinear and multiparameter Hilbert transforms. (English) Zbl 1329.42008 Anal. PDE 8, No. 3, 675-712 (2015). Reviewer: Lalit Kumar Vashisht (Delhi) MSC: 42B10 44A15 42B15 42B20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Cordero, Elena; Nicola, Fabio; Rodino, Luigi Wave packet analysis of Schrödinger equations in analytic function spaces. (English) Zbl 1318.35094 Adv. Math. 278, 182-209 (2015). Reviewer: Dmitry Pelinovsky (Hamilton) MSC: 35Q41 35A20 35S05 35C15 42C15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Zhou, Zhennan Numerical approximation of the Schrödinger equation with the electromagnetic field by the Hagedorn wave packets. (English) Zbl 1349.78078 J. Comput. Phys. 272, 386-407 (2014). MSC: 78M10 65M60 × Cite Format Result Cite Review PDF Full Text: DOI
Russo, Giovanni; Smereka, Peter The Gaussian wave packet transform: efficient computation of the semi-classical limit of the Schrödinger equation. II: Multidimensional case. (English) Zbl 1349.65400 J. Comput. Phys. 257, Part A, 1022-1038 (2014). MSC: 65M20 65M70 81Q20 × Cite Format Result Cite Review PDF Full Text: DOI
Zhong, Wei-Ping; Belić, Milivoj; Zhang, Yiqi; Huang, Tingwen Accelerating Airy-Gauss-Kummer localized wave packets. (English) Zbl 1348.81237 Ann. Phys. 340, 171-178 (2014). MSC: 81Q05 81V80 35Q41 × Cite Format Result Cite Review PDF Full Text: DOI
Nassar, Antonio B.; Miret-Artés, Salvador Bohmian trajectories of Airy packets. (English) Zbl 1343.81078 Ann. Phys. 348, 223-227 (2014). MSC: 81Q05 33C10 33C90 35Q40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Sah, A. K.; Vashisht, L. K. Hilbert transform of irregular wave packet system for \(L^2 (\mathbb R)\). (English) Zbl 1314.42035 Poincare J. Anal. Appl. 2014, No. 1, 9-17 (2014). MSC: 42C15 42C30 × Cite Format Result Cite Review PDF
De Hoop, Maarten V.; Gröchenig, Karlheinz; Romero, José Luis Exact and approximate expansions with pure Gaussian wave packets. (English) Zbl 1298.41023 SIAM J. Math. Anal. 46, No. 3, 2229-2253 (2014). Reviewer: Martin D. Buhmann (Gießen) MSC: 41A25 42B05 42C40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ermolaev, Yu. G.; Kolosov, G. L.; Kosinov, A. D.; Semenov, N. V. Linear evolution of controlled disturbances in the supersonic boundary layer on a swept wing. (English. Russian original) Zbl 1294.76012 Fluid Dyn. 49, No. 2, 188-197 (2014); translation from Izv. Ross. Akad. Nauk, Mekh. Zhidk. Gaza 2014, No. 2, 58-68 (2014). MSC: 76-05 76N20 76J20 76E05 × Cite Format Result Cite Review PDF Full Text: DOI
Hallatschek, K. An ultra-fast smoothing algorithm for time-frequency transforms based on Gabor functions. (English) Zbl 1295.65130 Appl. Comput. Harmon. Anal. 36, No. 1, 158-166 (2014). MSC: 65T60 94A12 94A13 × Cite Format Result Cite Review PDF Full Text: DOI
Fefferman, Charles L.; Weinstein, Michael I. Wave packets in honeycomb structures and two-dimensional Dirac equations. (English) Zbl 1292.35195 Commun. Math. Phys. 326, No. 1, 251-286 (2014). MSC: 35P99 35J10 35Q40 35Q41 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Curilef, S.; Plastino, A. R.; Plastino, A. Tsallis’ maximum entropy ansatz leading to exact analytical time dependent wave packet solutions of a nonlinear Schrödinger equation. (English) Zbl 1395.35172 Physica A 392, No. 11, 2631-2642 (2013). MSC: 35Q55 35C05 81Q05 82C10 94A17 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Norris, S.; Vikartofsky, A.; Wagner, R. E.; Su, Q.; Grobe, R. Absorbing-like boundaries for quantum field theoretical grid simulations. (English) Zbl 1349.81021 Comput. Phys. Commun. 184, No. 11, 2412-2418 (2013). MSC: 81-08 81T80 × Cite Format Result Cite Review PDF Full Text: DOI
de Hoop, Maarten V.; Uhlmann, Gunther; Vasy, András; Wendt, Herwig Multiscale discrete approximations of Fourier integral operators associated with canonical transformations and caustics. (English) Zbl 1290.35360 Multiscale Model. Simul. 11, No. 2, 566-585 (2013). MSC: 35S30 65T99 86A15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv HAL
Hagedorn, George A. A minimal uncertainty product for one dimensional semiclassical wave packets. (English) Zbl 1319.81053 Holden, Helge (ed.) et al., Spectral analysis, differential equations and mathematical physics: A Festschrift in honor of Fritz Gesztesy’s 60th birthday. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-7574-2/hbk). Proceedings of Symposia in Pure Mathematics 87, 183-189 (2013). MSC: 81S05 81Q20 81S30 81R30 × Cite Format Result Cite Review PDF Full Text: arXiv
Angermann, L.; Shestopalov, Y. V.; Yatsyk, V. V. Mathematical models for scattering and generation of plane wave packets on layered, cubically polarisable structures. (English) Zbl 1288.78015 Far East J. Appl. Math. 81, No. 1-2, 1-31 (2013). MSC: 78A45 34L25 31A10 45G15 35Q60 × Cite Format Result Cite Review PDF Full Text: Link
Blair, Matthew D. \(L^q\) bounds on restrictions of spectral clusters to submanifolds for low regularity metrics. (English) Zbl 1291.35154 Anal. PDE 6, No. 6, 1263-1288 (2013). MSC: 35P99 35R05 42B37 35L15 42C15 42B20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bao, Gang; Qian, Jianliang; Ying, Lexing; Zhang, Hai A convergent multiscale Gaussian-beam parametrix for the wave equation. (English) Zbl 1302.35485 Commun. Partial Differ. Equations 38, No. 1-3, 92-134 (2013). MSC: 35S05 35A27 35S30 47G30 × Cite Format Result Cite Review PDF Full Text: DOI
Grossel, Philippe The phase delay and its complex time: from stationary states up to wave packets. (English) Zbl 1266.81062 Ann. Phys. 330, 74-94 (2013). MSC: 81Q05 81P20 × Cite Format Result Cite Review PDF Full Text: DOI
Mahalov, Alex; Suslov, Sergei K. An “Airy gun”: self-accelerating solutions of the time-dependent Schrödinger equation in vacuum. (English) Zbl 1396.81083 Phys. Lett., A 377, No. 1-2, 33-38 (2012). MSC: 81Q05 81V80 81S30 33C10 34M55 × Cite Format Result Cite Review PDF Full Text: DOI
Abdilghanie, Ammar M.; Diamessis, Peter J. On the generation and evolution of numerically simulated large-amplitude internal gravity wave packets. (English) Zbl 1291.76119 Theor. Comput. Fluid Dyn. 26, No. 1-4, 205-224 (2012). MSC: 76D33 76M22 × Cite Format Result Cite Review PDF Full Text: DOI
Grimshaw, Roger; Helfrich, Karl The effect of rotation on internal solitary waves. (English) Zbl 1250.35157 IMA J. Appl. Math. 77, No. 3, 326-339 (2012). MSC: 35Q53 76B25 76B55 × Cite Format Result Cite Review PDF Full Text: DOI Link
Andersson, Fredrik; Carlsson, Marcus; Tenorio, Luis On the representation of functions with Gaussian wave packets. (English) Zbl 1248.41025 J. Fourier Anal. Appl. 18, No. 1, 146-181 (2012). Reviewer: Vijay Gupta (New Delhi) MSC: 41A25 42B05 65D15 65R99 × Cite Format Result Cite Review PDF Full Text: DOI
Lablée, Olivier Quantum revivals in two degrees of freedom integrable systems: the torus case. (English) Zbl 1258.81040 Asymptotic Anal. 77, No. 1-2, 1-41 (2012). Reviewer: Monika Winklmeier (Bogotá) MSC: 81Q20 35Q41 × Cite Format Result Cite Review PDF Full Text: arXiv Link
Carles, Rémi Nonlinear Schrödinger equation with time dependent potential. (English) Zbl 1285.35105 Commun. Math. Sci. 9, No. 4, 937-964 (2011). Reviewer: Qin Meng Zhao (Beijing) MSC: 35Q55 35A01 35B40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Ouellette, Keith R. On the Fourier inversion formula for the full modular group. (English) Zbl 1244.22008 Represent. Theory 15, 112-125 (2011). Reviewer: Lejla Smajlovic (Sarajevo) MSC: 22E45 11F72 × Cite Format Result Cite Review PDF Full Text: DOI
Klein, Abel; Sadel, Christian Ballistic behavior for random Schrödinger operators on the Bethe strip. (English) Zbl 1268.82015 J. Spectr. Theory 1, No. 4, 409-442 (2011). MSC: 82B44 47B80 60H25 82B20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Lapid, Erez On Arthur’s asymptotic inner product formula of truncated Eisenstein series. (English) Zbl 1242.22025 Arthur, James (ed.) et al., On certain \(L\)-functions. Conference on certain \(L\)-functions in honor of Freydoon Shahidi on the occasion of his 60th birthday, West Lafayette, IN, USA July 23–27, 2007. Providence, RI: American Mathematical Society (AMS); Cambridge, MA: Clay Mathematics Institute (ISBN 978-0-8218-5204-0/pbk). Clay Mathematics Proceedings 13, 309-331 (2011). Reviewer: Min Ho Lee (Cedar Falls) MSC: 22E55 11F72 11M36 × Cite Format Result Cite Review PDF
Lablée, Olivier Semi-classical behaviour of Schrödinger’s dynamics: revivals of wave packets on hyperbolic trajectory. (English) Zbl 1221.81072 Asymptotic Anal. 71, No. 1-2, 59-99 (2011). Reviewer: Mihai Pascu (Bucureşti) MSC: 81Q20 35Q40 35S05 47G30 35Q41 35J10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv HAL
Carles, Rémi; Fermanian-Kammerer, Clotilde Nonlinear coherent states and Ehrenfest time for Schrödinger equation. (English) Zbl 1210.35227 Commun. Math. Phys. 301, No. 2, 443-472 (2011). MSC: 35Q55 35A21 81Q20 81V80 × Cite Format Result Cite Review PDF Full Text: DOI arXiv HAL
Mack, R.; Yakovlev, V. P.; Schleich, W. P. Correlations in phase space and the creation of focusing wave packets. (English) Zbl 1203.81062 J. Mod. Opt. 57, No. 14-15, 1437-1444 (2010). MSC: 81Q05 81P40 81S30 × Cite Format Result Cite Review PDF Full Text: DOI
Dürr, Detlef; Römer, Sarah On the classical limit of Bohmian mechanics for Hagedorn wave packets. (English) Zbl 1198.81117 J. Funct. Anal. 259, No. 9, 2404-2423 (2010). MSC: 81Q65 81P20 81Q20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Gilbert, John; Rzeszotnik, Ziemowit The norm of the Fourier transform on finite abelian groups. (English) Zbl 1202.42065 Ann. Inst. Fourier 60, No. 4, 1317-1346 (2010). Reviewer: Takeshi Kawazoe (Yokohama) MSC: 42C40 43A25 43A15 × Cite Format Result Cite Review PDF Full Text: DOI Numdam Numdam EuDML
Marica, Aurora; Zuazua, Enrique Localized solutions for the finite difference semi-discretization of the wave equation. (English. Abridged French version) Zbl 1193.65163 C. R., Math., Acad. Sci. Paris 348, No. 11-12, 647-652 (2010). MSC: 65M20 65M06 35L05 78A05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Andersson, Fredrik; Carlsson, Marcus; de Hoop, Maarten V. Nonlinear approximation of functions in two dimensions by sums of wave packets. (English) Zbl 1196.42034 Appl. Comput. Harmon. Anal. 29, No. 2, 198-213 (2010). MSC: 42C99 42B99 × Cite Format Result Cite Review PDF Full Text: DOI
Zhu, X. M.; Xu, M.; Liu, Q. H. Wave packets on spherical surface viewed from expectation values of Cartesian variables. (English) Zbl 1190.81053 Int. J. Geom. Methods Mod. Phys. 7, No. 3, 411-423 (2010). MSC: 81Q35 × Cite Format Result Cite Review PDF Full Text: DOI
Krache, L.; Maamache, M.; Saadi, Y. Classical-quantum interface of a particle in a time-dependent linear potential. (English) Zbl 1190.81040 Int. J. Theor. Phys. 49, No. 4, 936-942 (2010). MSC: 81Q05 × Cite Format Result Cite Review PDF Full Text: DOI
Römer, Sarah The classical limit of Bohmian mechanics. Semiclassical wave packets and an application to many particle scattering theory. (English) Zbl 1206.81007 Tönning: Der Andere Verlag; München: Univ. München, Fakultät für Mathematik, Informatik und Statistik (Diss.) (ISBN 978-3-89959-979-4/pbk). v, 83 p. (2010). Reviewer: Thierry Jecko (Cergy-Pontoise) MSC: 81-02 81Q05 81Q20 81Q65 81U20 47A40 34C99 81P20 × Cite Format Result Cite Review PDF Full Text: Link
Ranjani, S. Sree; Panigrahi, P. K.; Kapoor, A. K. Construction of localized atomic wave packets. (English) Zbl 1190.82018 J. Phys. A, Math. Theor. 43, No. 18, Article ID 185205, 10 p. (2010). MSC: 82B26 35Q51 37K40 35J60 35Q55 82C10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bang, Jang Young; Berger, Micheal S. Wave packets in discrete quantum phase space. (English) Zbl 1255.81021 Phys. Rev. A (3) 80, No. 2, Article ID 022105, 9 p. (2009). MSC: 81P15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Savenkov, I. V. Features of the linear stage of development of 3D wave packets in a plane Poiseuille flow. (Russian, English) Zbl 1224.76052 Zh. Vychisl. Mat. Mat. Fiz. 49, No. 7, 1271-1279 (2009); translation in Comput. Math., Math. Phys. 49, No. 7, 1212-1220 (2009). MSC: 76D33 × Cite Format Result Cite Review PDF Full Text: DOI
Métivier, Guy The mathematics of nonlinear optics. (English) Zbl 1191.35263 Dafermos, C.M.(ed.) et al., Handbook of differential equations: Evolutionary equations. Vol. V. Amsterdam: Elsevier/North-Holland (ISBN 978-0-444-53222-0/hbk). Handbook of Differential Equations, 169-313 (2009). Reviewer: Boris A. Malomed (Tel Aviv) MSC: 35Q60 35Q61 35L05 35L70 78A60 × Cite Format Result Cite Review PDF Full Text: DOI
Al-Hashimi, M. H.; Wiese, U.-J. Minimal position-velocity uncertainty wave packets in relativistic and non-relativistic quantum mechanics. (English) Zbl 1183.81085 Ann. Phys. 324, No. 12, 2599-2621 (2009). MSC: 81R30 81S05 81Q05 70H40 83F05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Gershgorin, Boris; Lvov, Yuri V.; Nazarenko, Sergey Canonical Hamiltonians for waves in inhomogeneous media. (English) Zbl 1200.35051 J. Math. Phys. 50, No. 1, 013527, 27 p. (2009). MSC: 35F20 35R60 81Q20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Pedram, Pouria An approach to construct wave packets with complete classical-quantum correspondence in non-relativistic quantum mechanics. (English) Zbl 1167.81375 Int. J. Theor. Phys. 48, No. 6, 1848-1858 (2009). MSC: 81Q05 81P05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv