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
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
Faupin, Jérémy; Lemm, Marius; Sigal, Israel Michael On Lieb-Robinson bounds for the Bose-Hubbard model. (English) Zbl 1502.81071 Commun. Math. Phys. 394, No. 3, 1011-1037 (2022). MSC: 81V73 81Q35 81Q05 81U05 82B41 PDFBibTeX XMLCite \textit{J. Faupin} et al., Commun. Math. Phys. 394, No. 3, 1011--1037 (2022; Zbl 1502.81071) 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
Chenn, Ilias; Sigal, Israel Michael Vortex lattices and the Bogoliubov-de Gennes equations. (English) Zbl 1465.82010 Adv. Math. 380, Article ID 107546, 54 p. (2021). Reviewer: Xingbin Pan (Shanghai) MSC: 82D55 35Q55 35A02 PDFBibTeX XMLCite \textit{I. Chenn} and \textit{I. M. Sigal}, Adv. Math. 380, Article ID 107546, 54 p. (2021; Zbl 1465.82010) 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
Dejak, S. I.; Egli, D.; Lushnikov, P. M.; Sigal, I. M. On blowup dynamics in the Keller-Segel model of chemotaxis. (English) Zbl 1326.35049 St. Petersbg. Math. J. 25, No. 4, 547-574 (2014) and Algebra Anal. 25, No. 4, 47-84 (2013). MSC: 35B44 35K51 35K57 35Q84 92C17 PDFBibTeX XMLCite \textit{S. I. Dejak} et al., St. Petersbg. Math. J. 25, No. 4, 547--574 (2014; Zbl 1326.35049) 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
Egli, Daniel; Fröhlich, Jürg; Gang, Zhou; Shao, Arick; Sigal, Israel Michael Hamiltonian dynamics of a particle interacting with a wave field. (English) Zbl 1281.35084 Commun. Partial Differ. Equations 38, No. 12, 2155-2198 (2013). MSC: 35Q70 35B35 70H14 35B40 35C07 PDFBibTeX XMLCite \textit{D. Egli} et al., Commun. Partial Differ. Equations 38, No. 12, 2155--2198 (2013; Zbl 1281.35084) Full Text: DOI arXiv
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
Fröhlich, Jürg; Griesemer, Marcel; Sigal, Israel Michael Spectral renormalization group and local decay in the standard model of non-relativistic quantum electrodynamics. (English) Zbl 1218.81082 Rev. Math. Phys. 23, No. 2, 179-209 (2011). Reviewer: Gert Roepstorff (Aachen) MSC: 81T17 81Q10 81U99 81V10 PDFBibTeX XMLCite \textit{J. Fröhlich} et al., Rev. Math. Phys. 23, No. 2, 179--209 (2011; Zbl 1218.81082) Full Text: DOI arXiv
Abou Salem, W. K.; Fröhlich, J.; Sigal, I. M. Colliding solitons for the nonlinear Schrödinger equation. (English) Zbl 1184.35289 Commun. Math. Phys. 291, No. 1, 151-176 (2009). MSC: 35Q55 37K40 81Q05 35Q51 35C08 PDFBibTeX XMLCite \textit{W. K. Abou Salem} et al., Commun. Math. Phys. 291, No. 1, 151--176 (2009; Zbl 1184.35289) Full Text: DOI arXiv
Sigal, Israel Michael Ground state and resonances in the standard model of the non-relativistic QED. (English) Zbl 1166.82302 J. Stat. Phys. 134, No. 5-6, 899-939 (2009). MSC: 82B28 81V10 81Q05 81T17 PDFBibTeX XMLCite \textit{I. M. Sigal}, J. Stat. Phys. 134, No. 5--6, 899--939 (2009; Zbl 1166.82302) Full Text: DOI arXiv
Fröhlich, J.; Griesemer, M.; Sigal, I. M. Spectral theory for the standard model of non-relativistic QED. (English) Zbl 1156.81044 Commun. Math. Phys. 283, No. 3, 613-646 (2008). Reviewer: T. C. Mohan (Dehra Dun) MSC: 81V10 81Q10 PDFBibTeX XMLCite \textit{J. Fröhlich} et al., Commun. Math. Phys. 283, No. 3, 613--646 (2008; Zbl 1156.81044) Full Text: DOI arXiv
Gang, Zhou; Sigal, I. M. Relaxation of solitons in nonlinear Schrödinger equations with potential. (English) Zbl 1126.35065 Adv. Math. 216, No. 2, 443-490 (2007). MSC: 35Q55 37K45 81R12 PDFBibTeX XMLCite \textit{Z. Gang} and \textit{I. M. Sigal}, Adv. Math. 216, No. 2, 443--490 (2007; Zbl 1126.35065) Full Text: DOI arXiv
Gustafson, S.; Sigal, I. M. Effective dynamics of magnetic vortices. (English) Zbl 1081.35102 Adv. Math. 199, No. 2, 448-498 (2006). MSC: 35Q55 82D55 82C26 PDFBibTeX XMLCite \textit{S. Gustafson} and \textit{I. M. Sigal}, Adv. Math. 199, No. 2, 448--498 (2006; Zbl 1081.35102) Full Text: DOI arXiv
Gang, Zhou; Sigal, I. M. Asymptotic stability of nonlinear Schrödinger equations with potential. (English) Zbl 1086.82013 Rev. Math. Phys. 17, No. 10, 1143-1207 (2005). Reviewer: David Jou (Bellaterra) MSC: 82C20 35Q55 37K45 PDFBibTeX XMLCite \textit{Z. Gang} and \textit{I. M. Sigal}, Rev. Math. Phys. 17, No. 10, 1143--1207 (2005; Zbl 1086.82013) Full Text: DOI arXiv
Fröhlich, J.; Gustafson, S.; Jonsson, B. L. G.; Sigal, I. M. Solitary wave dynamics in an external potential. (English) Zbl 1075.35075 Commun. Math. Phys. 250, No. 3, 613-642 (2004). MSC: 35Q55 35Q51 37K25 37K40 PDFBibTeX XMLCite \textit{J. Fröhlich} et al., Commun. Math. Phys. 250, No. 3, 613--642 (2004; Zbl 1075.35075) Full Text: DOI arXiv
Bach, Volker; Chen, Thomas; Fröhlich, Jürg; Sigal, Israel Michael Smooth Feshbach map and operator-theoretic renormalization group methods. (English) Zbl 1060.47028 J. Funct. Anal. 203, No. 1, 44-92 (2003). Reviewer: Bernd Kuckert (Hamburg) MSC: 47B25 47N50 81T17 PDFBibTeX XMLCite \textit{V. Bach} et al., J. Funct. Anal. 203, No. 1, 44--92 (2003; Zbl 1060.47028) Full Text: DOI
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
Bach, Volker; Fröhlich, Jürg; Sigal, Israel Michael Return to equilibrium. (English) Zbl 1037.82029 J. Math. Phys. 41, No. 6, 3985-4060 (2000). MSC: 82C10 47N50 81V80 PDFBibTeX XMLCite \textit{V. Bach} et al., J. Math. Phys. 41, No. 6, 3985--4060 (2000; Zbl 1037.82029) Full Text: DOI
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
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
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
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
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
Sigal, I. M.; Soffer, A. Long-range many-body scattering. Asymptotic clustering for Coulomb-type potentials. (English) Zbl 0702.35197 Invent. Math. 99, No. 1, 115-143 (1990). Reviewer: P.Stefanov MSC: 35P25 81U10 PDFBibTeX XMLCite \textit{I. M. Sigal} and \textit{A. Soffer}, Invent. Math. 99, No. 1, 115--143 (1990; Zbl 0702.35197) Full Text: DOI EuDML