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
Pusateri, Fabio; Sigal, Israel Michael Long-time behaviour of time-dependent density functional theory. (English) Zbl 1467.82112 Arch. Ration. Mech. Anal. 241, No. 1, 447-473 (2021). MSC: 82M36 35Q55 35B40 35B44 35C06 35B07 35B35 35P25 PDFBibTeX XMLCite \textit{F. Pusateri} and \textit{I. M. Sigal}, Arch. Ration. Mech. Anal. 241, No. 1, 447--473 (2021; Zbl 1467.82112) 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
Adachi, Tadayoshi; Kiyose, Amane On the Mourre estimates for Floquet Hamiltonians. (English) Zbl 1428.81128 Lett. Math. Phys. 109, No. 11, 2513-2529 (2019). MSC: 81U05 81Q10 35Q41 PDFBibTeX XMLCite \textit{T. Adachi} and \textit{A. Kiyose}, Lett. Math. Phys. 109, No. 11, 2513--2529 (2019; Zbl 1428.81128) Full Text: DOI arXiv Link
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
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
Cano García, Leonardo Arturo Mourre estimates for compatible Laplacians on complete manifolds with corners of codimension 2. (English) Zbl 1262.53033 Ann. Global Anal. Geom. 43, No. 1, 75-97 (2013). Reviewer: Ahmed Lesfari (El Jadida) MSC: 53C21 58C40 PDFBibTeX XMLCite \textit{L. A. Cano García}, Ann. Global Anal. Geom. 43, No. 1, 75--97 (2013; Zbl 1262.53033) Full Text: DOI arXiv
Adachi, Tadayoshi; Kawamoto, Masaki Avron-Herbst type formula in crossed constant magnetic and time-dependent electric fields. (English) Zbl 1257.81025 Lett. Math. Phys. 102, No. 1, 65-90 (2012). MSC: 81Q10 81U20 81Q05 PDFBibTeX XMLCite \textit{T. Adachi} and \textit{M. Kawamoto}, Lett. Math. Phys. 102, No. 1, 65--90 (2012; Zbl 1257.81025) Full Text: DOI
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
Adachi, Tadayoshi On spectral and scattering theory for \(N\)-body Schrödinger operators in a constant magnetic field. (English) Zbl 1029.81068 Rev. Math. Phys. 14, No. 2, 199-240 (2002). MSC: 81U10 35P25 81Q05 47A40 47N50 PDFBibTeX XMLCite \textit{T. Adachi}, Rev. Math. Phys. 14, No. 2, 199--240 (2002; Zbl 1029.81068) Full Text: DOI
Vasy, András Propagation of singularities in many-body scattering in the presence of bound states. (English) Zbl 1085.35010 J. Funct. Anal. 184, No. 1, 177-272 (2001). MSC: 35A21 35A20 35J10 35S05 47F05 58J47 81U10 PDFBibTeX XMLCite \textit{A. Vasy}, J. Funct. Anal. 184, No. 1, 177--272 (2001; Zbl 1085.35010) Full Text: DOI arXiv
Vasy, András Propagation of singularities in many-body scattering. (English) Zbl 0987.81114 Ann. Sci. Éc. Norm. Supér. (4) 34, No. 3, 313-402 (2001). Reviewer: Roger G.Newton (Bloomington) MSC: 81U10 PDFBibTeX XMLCite \textit{A. Vasy}, Ann. Sci. Éc. Norm. Supér. (4) 34, No. 3, 313--402 (2001; Zbl 0987.81114) Full Text: DOI arXiv Numdam EuDML
Hunziker, W.; Sigal, I. M. Time-dependent scattering theory of \(N\)-body quantum systems. (English) Zbl 0978.47008 Rev. Math. Phys. 12, No. 8, 1033-1084 (2000). Reviewer: Michael Demuth (Clausthal) MSC: 47A40 81U10 47N50 PDFBibTeX XMLCite \textit{W. Hunziker} and \textit{I. M. Sigal}, Rev. Math. Phys. 12, No. 8, 1033--1084 (2000; Zbl 0978.47008) Full Text: DOI
Wunsch, Jared Propagation of singularities and growth for Schrödinger operators. (English) Zbl 0953.35121 Duke Math. J. 98, No. 1, 137-186 (1999). Reviewer: Dimitar A.Kolev (Sofia) MSC: 35Q40 58J47 58J40 58J50 35B40 35B65 35S05 PDFBibTeX XMLCite \textit{J. Wunsch}, Duke Math. J. 98, No. 1, 137--186 (1999; Zbl 0953.35121) Full Text: DOI
Hunziker, W.; Sigal, I. M.; Soffer, A. Minimal escape velocities. (English) Zbl 0944.35014 Commun. Partial Differ. Equations 24, No. 11-12, 2279-2295 (1999). Reviewer: Tuncay Aktosun (Fargo) MSC: 35J10 47N50 PDFBibTeX XMLCite \textit{W. Hunziker} et al., Commun. Partial Differ. Equations 24, No. 11--12, 2279--2295 (1999; Zbl 0944.35014) Full Text: DOI arXiv
Beltita, Daniel; Sabac, Mihai An asymptotic formula for the commutators. (English) Zbl 0914.47036 J. Funct. Anal. 153, No. 2, 262-275 (1998). Reviewer: F.H.Vasilescu (Villeneuve d’Ascq) MSC: 47B47 47A60 47A13 PDFBibTeX XMLCite \textit{D. Beltita} and \textit{M. Sabac}, J. Funct. Anal. 153, No. 2, 262--275 (1998; Zbl 0914.47036) Full Text: DOI
Gérard, Christian; Nier, Francis The Mourre theory for analytically fibered operators. (English) Zbl 0939.47019 J. Funct. Anal. 152, No. 1, 202-219 (1998). Reviewer: J.J.Telega (Warszawa) MSC: 47B25 81Q05 PDFBibTeX XMLCite \textit{C. Gérard} and \textit{F. Nier}, J. Funct. Anal. 152, No. 1, 202--219 (1998; Zbl 0939.47019) Full Text: DOI
Gérard, Christian; Łaba, Izabella Scattering theory for 3-particle systems in constant magnetic fields: dispersive case. (English) Zbl 0853.35098 Ann. Inst. Fourier 46, No. 3, 801-876 (1996). MSC: 35Q40 81U10 PDFBibTeX XMLCite \textit{C. Gérard} and \textit{I. Łaba}, Ann. Inst. Fourier 46, No. 3, 801--876 (1996; Zbl 0853.35098) Full Text: DOI Numdam EuDML
Adachi, Tadayoshi; Tamura, Hideo Asymptotic completeness for long-range many-particle systems with Stark effect. II. (English) Zbl 0849.35112 Commun. Math. Phys. 174, No. 3, 537-559 (1996). Reviewer: D.Bainov (Sofia) MSC: 35Q40 81U10 35P25 PDFBibTeX XMLCite \textit{T. Adachi} and \textit{H. Tamura}, Commun. Math. Phys. 174, No. 3, 537--559 (1996; Zbl 0849.35112) Full Text: DOI
Gérard, C.; Łaba, I. Scattering theory for \(N\)-particle systems in constant magnetic fields. II: Long-range interactions. (English) Zbl 0842.35069 Commun. Partial Differ. Equations 20, No. 9-10, 1791-1830 (1995). MSC: 35P25 81U10 PDFBibTeX XMLCite \textit{C. Gérard} and \textit{I. Łaba}, Commun. Partial Differ. Equations 20, No. 9--10, 1791--1830 (1995; Zbl 0842.35069) Full Text: DOI
Adachi, Tadayoshi Long-range scattering for three-body Stark Hamiltonians. (English) Zbl 0819.35106 J. Math. Phys. 35, No. 11, 5547-5571 (1994). MSC: 35P25 81U10 PDFBibTeX XMLCite \textit{T. Adachi}, J. Math. Phys. 35, No. 11, 5547--5571 (1994; Zbl 0819.35106) Full Text: DOI
Gérard, C.; Łaba, I. Scattering theory for \(N\)-particle systems in constant magnetic fields. (English) Zbl 0828.35098 Duke Math. J. 76, No. 2, 433-465 (1994). Reviewer: M.Thompson (Porto Alegre) MSC: 35P25 81V70 81U10 47A40 PDFBibTeX XMLCite \textit{C. Gérard} and \textit{I. Łaba}, Duke Math. J. 76, No. 2, 433--465 (1994; Zbl 0828.35098) Full Text: DOI
Zielinski, Lech A proof of asymptotic completeness for \(N\)-body Schrödinger operators. (English) Zbl 0812.35118 Commun. Partial Differ. Equations 19, No. 3-4, 455-522 (1994). Reviewer: A.V.Aminova (Kazan’) MSC: 35Q40 81U10 PDFBibTeX XMLCite \textit{L. Zielinski}, Commun. Partial Differ. Equations 19, No. 3--4, 455--522 (1994; Zbl 0812.35118) Full Text: DOI
Gérard, C. Asymptotic completeness for 3-particle long-range systems. (English) Zbl 0812.70006 Invent. Math. 114, No. 2, 333-397 (1993). Reviewer: T.Atanacković (Novi Sad) MSC: 70F07 PDFBibTeX XMLCite \textit{C. Gérard}, Invent. Math. 114, No. 2, 333--397 (1993; Zbl 0812.70006) Full Text: DOI EuDML
Sigal, I. M.; Soffer, A. Asymptotic completeness for \(N\leq 4\) particle systems with the Coulomb-type interactions. (English) Zbl 0853.70010 Duke Math. J. 71, No. 1, 243-298 (1993). MSC: 70F10 78A35 PDFBibTeX XMLCite \textit{I. M. Sigal} and \textit{A. Soffer}, Duke Math. J. 71, No. 1, 243--298 (1993; Zbl 0853.70010) Full Text: DOI
Łaba, Izabella Long-range one-particle scattering in a homogeneous magnetic field. (English) Zbl 0809.47007 Duke Math. J. 70, No. 2, 283-303 (1993). Reviewer: M.Demuth (Clausthal) MSC: 47A40 35P25 81Uxx PDFBibTeX XMLCite \textit{I. Łaba}, Duke Math. J. 70, No. 2, 283--303 (1993; Zbl 0809.47007) Full Text: DOI
Dereziński, Jan Large time behavior of classical \(N\)-body systems. (English) Zbl 0764.70004 Commun. Math. Phys. 148, No. 3, 503-520 (1992). Reviewer: Liu Yanzhu (Shanghai) MSC: 70F10 PDFBibTeX XMLCite \textit{J. Dereziński}, Commun. Math. Phys. 148, No. 3, 503--520 (1992; Zbl 0764.70004) Full Text: DOI
Carlen, E. A.; Soffer, A. Entropy production by block variable summation and central limit theorems. (English) Zbl 0734.60024 Commun. Math. Phys. 140, No. 2, 339-371 (1991). MSC: 60F05 82C35 PDFBibTeX XMLCite \textit{E. A. Carlen} and \textit{A. Soffer}, Commun. Math. Phys. 140, No. 2, 339--371 (1991; Zbl 0734.60024) Full Text: DOI
Graf, Gian Michele Asymptotic completeness for N-body short-range quantum systems: A new proof. (English) Zbl 0726.35096 Commun. Math. Phys. 132, No. 1, 73-101 (1990). Reviewer: A.Martinez (Villetaneuse) MSC: 35P25 81U10 PDFBibTeX XMLCite \textit{G. M. Graf}, Commun. Math. Phys. 132, No. 1, 73--101 (1990; Zbl 0726.35096) Full Text: DOI
Sigal, I. M. On long-range scattering. (English) Zbl 0725.35071 Duke Math. J. 60, No. 2, 473-496 (1990). Reviewer: W.Wendt (München) MSC: 35P25 35J10 PDFBibTeX XMLCite \textit{I. M. Sigal}, Duke Math. J. 60, No. 2, 473--496 (1990; Zbl 0725.35071) Full Text: DOI