Arbunich, J.; Faupin, J.; Pusateri, F.; Sigal, I. M. Maximal speed of quantum propagation for the Hartree equation. (English) Zbl 07713802 Commun. Partial Differ. Equations 48, No. 4, 542-575 (2023). MSC: 35Q55 35Q41 35Q40 81V73 81V70 35B65 37K10 35P10 PDFBibTeX XMLCite \textit{J. Arbunich} et al., Commun. Partial Differ. Equations 48, No. 4, 542--575 (2023; Zbl 07713802) Full Text: DOI arXiv
Grasselli, Viviana Dispersive equations on asymptotically conical manifolds: time decay in the low-frequency regime. (English) Zbl 1510.35054 Ann. Global Anal. Geom. 63, No. 2, Paper No. 17, 43 p. (2023). MSC: 35B40 35P20 35Q40 PDFBibTeX XMLCite \textit{V. Grasselli}, Ann. Global Anal. Geom. 63, No. 2, Paper No. 17, 43 p. (2023; Zbl 1510.35054) Full Text: DOI
Black, Adam; Malinovitch, Tal Scattering for Schrödinger operators with potentials concentrated near a subspace. (English) Zbl 07662349 Trans. Am. Math. Soc. 376, No. 4, 2525-2555 (2023). Reviewer: Davide Fermi (Roma) MSC: 47A40 35J10 35Q40 81U05 81U15 PDFBibTeX XMLCite \textit{A. Black} and \textit{T. Malinovitch}, Trans. Am. Math. Soc. 376, No. 4, 2525--2555 (2023; Zbl 07662349) Full Text: DOI arXiv
Maspero, A. Growth of Sobolev norms in linear Schrödinger equations as a dispersive phenomenon. (English) Zbl 1504.35424 Adv. Math. 411, Part A, Article ID 108800, 48 p. (2022). MSC: 35Q41 35S10 37K45 PDFBibTeX XMLCite \textit{A. Maspero}, Adv. Math. 411, Part A, Article ID 108800, 48 p. (2022; Zbl 1504.35424) Full Text: DOI arXiv
Sigal, I. M. Differential equations of quantum mechanics. (English) Zbl 1504.35421 Q. Appl. Math. 80, No. 3, 451-480 (2022). Reviewer: Konstantin Merz (Braunschweig) MSC: 35Q40 35Q41 35Q55 35Q56 81Q99 81U24 81V10 82D55 81V73 81V74 PDFBibTeX XMLCite \textit{I. M. Sigal}, Q. Appl. Math. 80, No. 3, 451--480 (2022; Zbl 1504.35421) Full Text: DOI arXiv
Lindblad, Hans; Lührmann, Jonas; Soffer, Avy Asymptotics for 1D Klein-Gordon equations with variable coefficient quadratic nonlinearities. (English) Zbl 1475.35305 Arch. Ration. Mech. Anal. 241, No. 3, 1459-1527 (2021). MSC: 35Q53 35B40 35B05 35P25 35C08 PDFBibTeX XMLCite \textit{H. Lindblad} et al., Arch. Ration. Mech. Anal. 241, No. 3, 1459--1527 (2021; Zbl 1475.35305) Full Text: DOI arXiv
Schlag, W. On pointwise decay of waves. (English) Zbl 1467.81039 J. Math. Phys. 62, No. 6, Article ID 061509, 27 p. (2021). MSC: 81Q05 81Q35 35B40 83C57 35Q55 35B44 PDFBibTeX XMLCite \textit{W. Schlag}, J. Math. Phys. 62, No. 6, Article ID 061509, 27 p. (2021; Zbl 1467.81039) Full Text: DOI arXiv
Arbunich, J.; Pusateri, F.; Sigal, I. M.; Soffer, A. Maximal speed of quantum propagation. (English) Zbl 1475.35301 Lett. Math. Phys. 111, No. 3, Paper No. 62, 16 p. (2021). Reviewer: Mevludin Licina (Sarajevo) MSC: 35Q41 35Q40 35Q70 35P25 81U10 81U99 81P45 PDFBibTeX XMLCite \textit{J. Arbunich} et al., Lett. Math. Phys. 111, No. 3, Paper No. 62, 16 p. (2021; Zbl 1475.35301) Full Text: DOI arXiv
Lindblad, Hans; Lührmann, Jonas; Soffer, Avy Decay and asymptotics for the one-dimensional Klein-Gordon equation with variable coefficient cubic nonlinearities. (English) Zbl 1455.35021 SIAM J. Math. Anal. 52, No. 6, 6379-6411 (2020). MSC: 35B40 35L71 35L15 35P25 35Q51 35Q56 PDFBibTeX XMLCite \textit{H. Lindblad} et al., SIAM J. Math. Anal. 52, No. 6, 6379--6411 (2020; Zbl 1455.35021) Full Text: DOI arXiv
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 PDFBibTeX XMLCite \textit{F. Dewez}, J. Math. Anal. Appl. 491, No. 1, Article ID 124292, 30 p. (2020; Zbl 1447.35053) Full Text: DOI arXiv
Alvarez, Benjamin Louis; Faupin, Jérémy Scattering theory for mathematical models of the weak interaction. (English) Zbl 1436.81083 Rev. Math. Phys. 32, No. 1, Article ID 2050002, 80 p. (2020). MSC: 81T10 81U20 81U90 81V15 81V22 30H20 47A40 PDFBibTeX XMLCite \textit{B. L. Alvarez} and \textit{J. Faupin}, Rev. Math. Phys. 32, No. 1, Article ID 2050002, 80 p. (2020; Zbl 1436.81083) Full Text: DOI arXiv
Grenier, Emmanuel; Nguyen, Toan T.; Rousset, Frédéric; Soffer, Avy Linear inviscid damping and enhanced viscous dissipation of shear flows by using the conjugate operator method. (English) Zbl 1447.35247 J. Funct. Anal. 278, No. 3, Article ID 108339, 27 p. (2020). Reviewer: Il’ya Sh. Mogilevskii (Tver’) MSC: 35Q30 35Q31 76D05 76B03 PDFBibTeX XMLCite \textit{E. Grenier} et al., J. Funct. Anal. 278, No. 3, Article ID 108339, 27 p. (2020; Zbl 1447.35247) Full Text: DOI arXiv
Barbaroux, Jean-Marie; Faupin, Jérémy; Guillot, Jean-Claude Local decay for weak interactions with massless particles. (English) Zbl 1508.81861 J. Spectr. Theory 9, No. 2, 453-512 (2019). MSC: 81Q80 81V22 47A10 81V73 81V15 81Q10 30H20 46N50 PDFBibTeX XMLCite \textit{J.-M. Barbaroux} et al., J. Spectr. Theory 9, No. 2, 453--512 (2019; Zbl 1508.81861) Full Text: DOI arXiv
Golénia, Sylvain; Mandich, Marc-Adrien Propagation estimates for one commutator regularity. (English) Zbl 1405.81034 Integral Equations Oper. Theory 90, No. 4, Paper No. 47, 40 p. (2018). Reviewer: Eric Stachura (Marietta) MSC: 81Q10 35J70 47B25 47A10 35Q40 39A70 PDFBibTeX XMLCite \textit{S. Golénia} and \textit{M.-A. Mandich}, Integral Equations Oper. Theory 90, No. 4, Paper No. 47, 40 p. (2018; Zbl 1405.81034) Full Text: DOI arXiv
Erdoğan, M. Burak; Green, William R. The Dirac equation in two dimensions: dispersive estimates and classification of threshold obstructions. (English) Zbl 1364.35301 Commun. Math. Phys. 352, No. 2, 719-757 (2017). MSC: 35Q41 81Q05 35B45 PDFBibTeX XMLCite \textit{M. B. Erdoğan} and \textit{W. R. Green}, Commun. Math. Phys. 352, No. 2, 719--757 (2017; Zbl 1364.35301) Full Text: DOI arXiv
Georgescu, Vladimir; Larenas, Manuel; Soffer, Avy Abstract theory of pointwise decay with applications to wave and Schrödinger equations. (English) Zbl 1367.47029 Ann. Henri Poincaré 17, No. 8, 2075-2101 (2016). Reviewer: Anatoly N. Kochubei (Kyïv) MSC: 47B25 47B47 37L50 35Q41 47D08 81Q10 PDFBibTeX XMLCite \textit{V. Georgescu} et al., Ann. Henri Poincaré 17, No. 8, 2075--2101 (2016; Zbl 1367.47029) Full Text: DOI arXiv
Soffer, Avy Dynamics and scattering of a massless particle. (English) Zbl 1343.81270 J. Funct. Anal. 271, No. 5, 1043-1086 (2016). Reviewer: T. C. Mohan (Chennai) MSC: 81V80 83A05 PDFBibTeX XMLCite \textit{A. Soffer}, J. Funct. Anal. 271, No. 5, 1043--1086 (2016; Zbl 1343.81270) Full Text: DOI arXiv
Sigal, Israel Michael Radiation and scattering in non-relativistic quantum electrodynamics. (English) Zbl 1335.81070 Finster, Felix (ed.) et al., Quantum mathematical physics. A bridge between mathematics and physics. Selected papers based on the presentations at the international conference, Regensburg, Germany, September 29 – October 2, 2014. Cham: Birkhäuser/Springer (ISBN 978-3-319-26900-9/hbk; 978-3-319-26902-3/ebook). 257-291 (2016). MSC: 81Q05 81T10 81T17 81V10 81Q10 81V80 81U05 PDFBibTeX XMLCite \textit{I. M. Sigal}, in: Quantum mathematical physics. A bridge between mathematics and physics. Selected papers based on the presentations at the international conference, Regensburg, Germany, September 29 -- October 2, 2014. Cham: Birkhäuser/Springer. 257--291 (2016; Zbl 1335.81070) Full Text: DOI
Komech, A. I.; Kopylova, E. A. Weighted energy decay for magnetic Klein-Gordon equation. (English) Zbl 1311.35028 Appl. Anal. 94, No. 2, 218-232 (2015). MSC: 35B40 35L10 47A40 81U05 PDFBibTeX XMLCite \textit{A. I. Komech} and \textit{E. A. Kopylova}, Appl. Anal. 94, No. 2, 218--232 (2015; Zbl 1311.35028) Full Text: DOI arXiv
Sâad, R. Ben; Pillet, C.-A. A geometric approach to the Landauer-Büttiker formula. (English) Zbl 1297.82033 J. Math. Phys. 55, No. 7, 075202, 138 p. (2014). Reviewer: Claudia-Veronika Meister (Darmstadt) MSC: 82C70 82D10 82C10 PDFBibTeX XMLCite \textit{R. B. Sâad} and \textit{C. A. Pillet}, J. Math. Phys. 55, No. 7, 075202, 138 p. (2014; Zbl 1297.82033) Full Text: DOI arXiv
Golénia, Sylvain Hardy inequality and asymptotic eigenvalue distribution for discrete Laplacians. (English) Zbl 1292.35300 J. Funct. Anal. 266, No. 5, 2662-2688 (2014). MSC: 35R02 35P20 47F05 47A10 PDFBibTeX XMLCite \textit{S. Golénia}, J. Funct. Anal. 266, No. 5, 2662--2688 (2014; Zbl 1292.35300) Full Text: DOI arXiv
Faupin, Jérémy; Sigal, Israel Michael On Rayleigh scattering in non-relativistic quantum electrodynamics. (English) Zbl 1315.81105 Commun. Math. Phys. 328, No. 3, 1199-1254 (2014). Reviewer: Markus Fröb (Leipzig) MSC: 81V10 81Q05 47A40 34L25 81V80 81U05 PDFBibTeX XMLCite \textit{J. Faupin} and \textit{I. M. Sigal}, Commun. Math. Phys. 328, No. 3, 1199--1254 (2014; Zbl 1315.81105) Full Text: DOI arXiv
Faupin, Jérémy; Sigal, Israel Michael Minimal photon velocity bounds in non-relativistic quantum electrodynamics. (English) Zbl 1291.81403 J. Stat. Phys. 154, No. 1-2, 58-90 (2014). MSC: 81V10 81V45 81V55 81V80 81Q05 PDFBibTeX XMLCite \textit{J. Faupin} and \textit{I. M. Sigal}, J. Stat. Phys. 154, No. 1--2, 58--90 (2014; Zbl 1291.81403) Full Text: DOI
Häfner, Dietrich; Bony, Jean-François Local energy decay for several evolution equations on asymptotically Euclidean manifolds. (English) Zbl 1264.58021 Grieser, Daniel (ed.) et al., Microlocal methods in mathematical physics and global analysis. Extended abstracts of the conference, Tübingen, Germany, June 14–18, 2011. Basel: Birkhäuser (ISBN 978-3-0348-0465-3/pbk; 978-3-0348-0466-0/ebook). Trends in Mathematics, 117-120 (2013). MSC: 58J45 35L05 35J10 35P25 81U30 PDFBibTeX XMLCite \textit{D. Häfner} and \textit{J.-F. Bony}, in: Microlocal methods in mathematical physics and global analysis. Extended abstracts of the conference, Tübingen, Germany, June 14--18, 2011. Basel: Birkhäuser. 117--120 (2013; Zbl 1264.58021) Full Text: DOI Numdam
Bony, Jean-François; Faupin, Jérémy; Sigal, Israel Michael Maximal velocity of photons in non-relativistic QED. (English) Zbl 1256.81113 Adv. Math. 231, No. 5, 3054-3078 (2012). MSC: 81V10 81U05 81Q05 35J05 PDFBibTeX XMLCite \textit{J.-F. Bony} et al., Adv. Math. 231, No. 5, 3054--3078 (2012; Zbl 1256.81113) Full Text: DOI arXiv
Nakanishi, Kenji; Van Phan, Tuoc; Tsai, Tai-Peng Small solutions of nonlinear Schrödinger equations near first excited states. (English) Zbl 1244.35136 J. Funct. Anal. 263, No. 3, 703-781 (2012). MSC: 35Q55 81Q05 35P05 PDFBibTeX XMLCite \textit{K. Nakanishi} et al., J. Funct. Anal. 263, No. 3, 703--781 (2012; Zbl 1244.35136) Full Text: DOI arXiv
Lescarret, Vincent; Schneider, Guido Diffractive optics with harmonic radiation in 2d nonlinear photonic crystal waveguide. (English) Zbl 1253.35173 Z. Angew. Math. Phys. 63, No. 3, 401-427 (2012). Reviewer: Boris A. Malomed (Tel Aviv) MSC: 35Q60 35C08 78A05 34E20 PDFBibTeX XMLCite \textit{V. Lescarret} and \textit{G. Schneider}, Z. Angew. Math. Phys. 63, No. 3, 401--427 (2012; Zbl 1253.35173) Full Text: DOI HAL
Bony, Jean-François; Faupin, Jérémy Resolvent smoothness and local decay at low energies for the standard model of non-relativistic QED. (English) Zbl 1236.81187 J. Funct. Anal. 262, No. 3, 850-888 (2012). MSC: 81V10 81V45 PDFBibTeX XMLCite \textit{J.-F. Bony} and \textit{J. Faupin}, J. Funct. Anal. 262, No. 3, 850--888 (2012; Zbl 1236.81187) Full Text: DOI arXiv
Donninger, Roland; Schlag, Wilhelm; Soffer, Avy On pointwise decay of linear waves on a Schwarzschild black hole background. (English) Zbl 1242.83054 Commun. Math. Phys. 309, No. 1, 51-86 (2012). MSC: 83C57 83C25 83C40 83C22 35L05 81Q20 PDFBibTeX XMLCite \textit{R. Donninger} et al., Commun. Math. Phys. 309, No. 1, 51--86 (2012; Zbl 1242.83054) Full Text: DOI arXiv
Thierry, Daudé Time-dependent scattering theory for charged Dirac fields on a Reissner-Nordström black hole. (English) Zbl 1314.81087 J. Math. Phys. 51, No. 10, 102504, 57 p. (2010). MSC: 81Q35 81Q05 81U20 82C10 83C57 37L05 47A40 PDFBibTeX XMLCite \textit{D. Thierry}, J. Math. Phys. 51, No. 10, 102504, 57 p. (2010; Zbl 1314.81087) Full Text: DOI
Boussaid, Nabile; Golénia, Sylvain Limiting absorption principle for some long range perturbations of Dirac systems at threshold energies. (English) Zbl 1205.81084 Commun. Math. Phys. 299, No. 3, 677-708 (2010). Reviewer: Monika Winklmeier (Bogotá) MSC: 81Q10 47B47 47A11 PDFBibTeX XMLCite \textit{N. Boussaid} and \textit{S. Golénia}, Commun. Math. Phys. 299, No. 3, 677--708 (2010; Zbl 1205.81084) Full Text: DOI arXiv
Gérard, C.; Panati, A. Spectral and scattering theory for some abstract QFT Hamiltonians. (English) Zbl 1166.81326 Rev. Math. Phys. 21, No. 3, 373-437 (2009). MSC: 81Q10 81T08 47N50 81-02 81U05 81T10 PDFBibTeX XMLCite \textit{C. Gérard} and \textit{A. Panati}, Rev. Math. Phys. 21, No. 3, 373--437 (2009; Zbl 1166.81326) Full Text: DOI arXiv
Gérard, Christian A proof of the abstract limiting absorption principle by energy estimates. (English) Zbl 1141.47017 J. Funct. Anal. 254, No. 11, 2707-2724 (2008). Reviewer: Petru A. Cojuhari (Kraków) MSC: 47B25 47N50 47A40 81U05 PDFBibTeX XMLCite \textit{C. Gérard}, J. Funct. Anal. 254, No. 11, 2707--2724 (2008; Zbl 1141.47017) Full Text: DOI
Boussaid, Nabile Stable directions for small nonlinear Dirac standing waves. (English) Zbl 1127.35060 Commun. Math. Phys. 268, No. 3, 757-817 (2006). MSC: 35Q55 37K45 81Q05 35P25 PDFBibTeX XMLCite \textit{N. Boussaid}, Commun. Math. Phys. 268, No. 3, 757--817 (2006; Zbl 1127.35060) Full Text: DOI arXiv
Daudé, Thierry Propagation estimates for Dirac operators and application to scattering theory. (English) Zbl 1080.35101 Ann. Inst. Fourier 54, No. 6, 2021-2083 (2004). Reviewer: Hideo Yamagata (Osaka) MSC: 35Q40 35P25 81Q10 81U05 PDFBibTeX XMLCite \textit{T. Daudé}, Ann. Inst. Fourier 54, No. 6, 2021--2083 (2004; Zbl 1080.35101) Full Text: DOI Numdam EuDML Link
Sigal, I. M.; Soffer, A.; Zielinski, L. On the spectral properties of Hamiltonians without conservation of the particle number. (English) Zbl 1059.81060 J. Math. Phys. 43, No. 4, 1844-1855 (2002). MSC: 81Q10 47N50 PDFBibTeX XMLCite \textit{I. M. Sigal} et al., J. Math. Phys. 43, No. 4, 1844--1855 (2002; Zbl 1059.81060) Full Text: DOI Link
Tsai, Tai-Peng; Yau, Horng-Tzer Asymptotic dynamics of nonlinear Schrödinger equations: resonance-dominated and dispersion-dominated solutions. (English) Zbl 1031.35137 Commun. Pure Appl. Math. 55, No. 2, 153-216 (2002). Reviewer: T.A.Jangveladze (Tbilisi) MSC: 35Q55 35P25 81Q05 PDFBibTeX XMLCite \textit{T.-P. Tsai} and \textit{H.-T. Yau}, Commun. Pure Appl. Math. 55, No. 2, 153--216 (2002; Zbl 1031.35137) Full Text: DOI arXiv
Hunziker, W.; Sigal, I. M. The quantum \(N\)-body problem. (English) Zbl 0981.81026 J. Math. Phys. 41, No. 6, 3448-3510 (2000). MSC: 81Q10 81-02 81Q05 81U10 47N50 81-03 81S30 PDFBibTeX XMLCite \textit{W. Hunziker} and \textit{I. M. Sigal}, J. Math. Phys. 41, No. 6, 3448--3510 (2000; Zbl 0981.81026) Full Text: DOI