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
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
Chen, T.; Faupin, J.; Fröhlich, J.; Sigal, I. M. Local decay in non-relativistic QED. (English) Zbl 1237.81125 Commun. Math. Phys. 309, No. 2, 543-582 (2012). Reviewer: T. C. Mohan (Dehra Dun) MSC: 81V10 PDFBibTeX XMLCite \textit{T. Chen} et al., Commun. Math. Phys. 309, No. 2, 543--582 (2012; Zbl 1237.81125) 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
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
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
Gustafson, S.; Sigal, I. M. The stability of magnetic vortices. (English) Zbl 0955.58015 Commun. Math. Phys. 212, No. 2, 257-275 (2000). MSC: 58E50 82D55 35Q99 PDFBibTeX XMLCite \textit{S. Gustafson} and \textit{I. M. Sigal}, Commun. Math. Phys. 212, No. 2, 257--275 (2000; Zbl 0955.58015) Full Text: DOI arXiv
Bach, Volker; Fröhlich, Jürg; Sigal, Israel Michael; Soffer, Avy Positive commutators and the spectrum of Pauli-Fierz Hamiltonian of atoms and molecules. (English) Zbl 0962.81011 Commun. Math. Phys. 207, No. 3, 557-587 (1999). MSC: 81Q10 47N50 81V45 81V55 PDFBibTeX XMLCite \textit{V. Bach} et al., Commun. Math. Phys. 207, No. 3, 557--587 (1999; Zbl 0962.81011) Full Text: DOI
Bach, Volker; Fröhlich, Jürg; Sigal, Israel Michael Spectral analysis for systems of atoms and molecules coupled to the quantized radiation field. (English) Zbl 0965.81134 Commun. Math. Phys. 207, No. 2, 249-290 (1999). MSC: 81V10 47N50 PDFBibTeX XMLCite \textit{V. Bach} et al., Commun. Math. Phys. 207, No. 2, 249--290 (1999; Zbl 0965.81134) Full Text: DOI Link
Merkli, M.; Sigal, I. M. A time-dependent theory of quantum resonances. (English) Zbl 0934.47007 Commun. Math. Phys. 201, No. 3, 549-576 (1999). Reviewer: Hideo Yamagata (Osaka) MSC: 47A55 47N50 81Q10 35J10 35P25 PDFBibTeX XMLCite \textit{M. Merkli} and \textit{I. M. Sigal}, Commun. Math. Phys. 201, No. 3, 549--576 (1999; Zbl 0934.47007) Full Text: DOI
Sigal, I. M. Nonlinear wave and Schrödinger equations. I: Instability of periodic and quasiperiodic solutions. (English) Zbl 0780.35106 Commun. Math. Phys. 153, No. 2, 297-320 (1993). Reviewer: N.A.Lar’kin (Novosibirsk) MSC: 35Q55 35K55 35B35 35B10 PDFBibTeX XMLCite \textit{I. M. Sigal}, Commun. Math. Phys. 153, No. 2, 297--320 (1993; Zbl 0780.35106) Full Text: DOI
Gérard, C.; Sigal, I. M. Space-time picture of semiclassical resonances. (English) Zbl 0755.35102 Commun. Math. Phys. 145, No. 2, 281-328 (1992). Reviewer: B.Helffer (Paris) MSC: 35Q40 81Q10 35P25 35J10 PDFBibTeX XMLCite \textit{C. Gérard} and \textit{I. M. Sigal}, Commun. Math. Phys. 145, No. 2, 281--328 (1992; Zbl 0755.35102) Full Text: DOI
Seco, L. A.; Sigal, I. M.; Solovej, J. P. Bound on the ionization energy of large atoms. (English) Zbl 0714.35059 Commun. Math. Phys. 131, No. 2, 307-315 (1990). Reviewer: J.Asch MSC: 35P15 35J10 81V45 PDFBibTeX XMLCite \textit{L. A. Seco} et al., Commun. Math. Phys. 131, No. 2, 307--315 (1990; Zbl 0714.35059) Full Text: DOI
Sigal, I. M. Stark effect in multielectron systems: Non-existence of bound states. (English) Zbl 0684.35079 Commun. Math. Phys. 122, No. 1, 1-22 (1989). Reviewer: N.Jacob MSC: 35P99 81V70 35Q99 PDFBibTeX XMLCite \textit{I. M. Sigal}, Commun. Math. Phys. 122, No. 1, 1--22 (1989; Zbl 0684.35079) Full Text: DOI
Sigal, I. M. Geometric theory of Stark resonances in multielectron systems. (English) Zbl 0672.58050 Commun. Math. Phys. 119, No. 2, 287-314 (1988). MSC: 58Z05 81V70 58J90 PDFBibTeX XMLCite \textit{I. M. Sigal}, Commun. Math. Phys. 119, No. 2, 287--314 (1988; Zbl 0672.58050) Full Text: DOI
Sigal, I. M. Geometric methods in the quantum many-body problem. Nonexistence of very negative ions. (English) Zbl 0503.47041 Commun. Math. Phys. 85, 309-324 (1982). MSC: 47F05 47A10 81Q05 35J10 PDFBibTeX XMLCite \textit{I. M. Sigal}, Commun. Math. Phys. 85, 309--324 (1982; Zbl 0503.47041) Full Text: DOI
Sigal, I. M. On the point spectrum of the Schrödinger operators of multiparticle systems. (English) Zbl 0349.35062 Commun. Math. Phys. 48, 155-164 (1976). MSC: 35P15 35J10 PDFBibTeX XMLCite \textit{I. M. Sigal}, Commun. Math. Phys. 48, 155--164 (1976; Zbl 0349.35062) Full Text: DOI
Sigal, I. M. On the discrete spectrum of the Schrödinger operators of multiparticle systems. (English) Zbl 0349.35061 Commun. Math. Phys. 48, 137-154 (1976). MSC: 35P15 35J10 PDFBibTeX XMLCite \textit{I. M. Sigal}, Commun. Math. Phys. 48, 137--154 (1976; Zbl 0349.35061) Full Text: DOI