Soffer, Avy; Wu, Xiaoxu \(L^p\) Boundedness of the Scattering Wave Operators of Schrödinger Dynamics – Part 2. arXiv:2202.03307 Preprint, arXiv:2202.03307 [math.AP] (2022). MSC: 35P25 35Q55 47A40 BibTeX Cite \textit{A. Soffer} and \textit{X. Wu}, ``$L^p$ Boundedness of the Scattering Wave Operators of Schr\"odinger Dynamics -- Part 2'', Preprint, arXiv:2202.03307 [math.AP] (2022) Full Text: arXiv OA License
Soffer, Avy; Wu, Xiaoxu L^p Boundedness of the Scattering Wave Operators of Schroedinger Dynamics with Time-dependent Potentials and applications. arXiv:2012.14356 Preprint, arXiv:2012.14356 [math.AP] (2020). MSC: 35P25 35Q55 47A40 BibTeX Cite \textit{A. Soffer} and \textit{X. Wu}, ``L^p Boundedness of the Scattering Wave Operators of Schroedinger Dynamics with Time-dependent Potentials and applications'', Preprint, arXiv:2012.14356 [math.AP] (2020) Full Text: arXiv OA License
Liu, Baoping; Soffer, Avy A General Scattering theory for Nonlinear and Non-autonomous Schroedinger Type Equations- A Brief description. arXiv:2012.14382 Preprint, arXiv:2012.14382 [math.AP] (2020). MSC: 35P25 35Q55 47A40 BibTeX Cite \textit{B. Liu} and \textit{A. Soffer}, ``A General Scattering theory for Nonlinear and Non-autonomous Schroedinger Type Equations- A Brief description'', Preprint, arXiv:2012.14382 [math.AP] (2020) Full Text: arXiv OA License
Feng, Hongliang; Soffer, Avy; Yao, Xiaohua Decay estimates and Strichartz estimates of fourth-order Schrödinger operator. (English) Zbl 1379.58013 J. Funct. Anal. 274, No. 2, 605-658 (2018). MSC: 58J50 42B15 35P15 42B20 47F05 PDFBibTeX XMLCite \textit{H. Feng} et al., J. Funct. Anal. 274, No. 2, 605--658 (2018; Zbl 1379.58013) 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
Fishman, S.; Soffer, A. Slowly changing potential problems in quantum mechanics: adiabatic theorems, ergodic theorems, and scattering. (English) Zbl 1348.81227 J. Math. Phys. 57, No. 7, 072101, 22 p. (2016). Reviewer: Giovanni Rastelli (Vercelli) MSC: 81Q05 35Q41 47A35 81U05 37A35 PDFBibTeX XMLCite \textit{S. Fishman} and \textit{A. Soffer}, J. Math. Phys. 57, No. 7, 072101, 22 p. (2016; Zbl 1348.81227) Full Text: DOI arXiv
Soffer, Avy; Wang, Wei-Min Anderson localization for time periodic Schrödinger operators. (English) Zbl 1028.81018 Commun. Partial Differ. Equations 28, No. 1-2, 333-347 (2003). Reviewer: Kun Soo Chang (Seoul) MSC: 82B44 81Q10 60H25 47B80 47N55 PDFBibTeX XMLCite \textit{A. Soffer} and \textit{W.-M. Wang}, Commun. Partial Differ. Equations 28, No. 1--2, 333--347 (2003; Zbl 1028.81018) Full Text: DOI arXiv
Nier, F.; Soffer, A. Dispersion and Strichartz estimates for some finite rank perturbations of the Laplace operator. (English) Zbl 1034.35017 J. Funct. Anal. 198, No. 2, 511-535 (2003). Reviewer: Terence Tao (Los Angeles) MSC: 35J10 47F05 35Q40 81Q10 47D08 PDFBibTeX XMLCite \textit{F. Nier} and \textit{A. Soffer}, J. Funct. Anal. 198, No. 2, 511--535 (2003; Zbl 1034.35017) 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
Costin, O.; Soffer, A. Resonance theory for Schrödinger operators. (English) Zbl 0992.81025 Commun. Math. Phys. 224, No. 1, 133-152 (2001). Reviewer: Michael Demuth (Clausthal) MSC: 81Q15 35B34 81U99 34E05 47A55 47A10 PDFBibTeX XMLCite \textit{O. Costin} and \textit{A. Soffer}, Commun. Math. Phys. 224, No. 1, 133--152 (2001; Zbl 0992.81025) 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
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
Soffer, A.; Weinstein, M. I. Ionization and scattering for short-lived potentials. (English) Zbl 0930.35113 Lett. Math. Phys. 48, No. 4, 339-352 (1999). MSC: 35P05 81U10 47N50 PDFBibTeX XMLCite \textit{A. Soffer} and \textit{M. I. Weinstein}, Lett. Math. Phys. 48, No. 4, 339--352 (1999; Zbl 0930.35113) Full Text: DOI
Sigal, I. M.; Soffer, A. Asymptotic completeness of \(N\)-particle long-range scattering. (English) Zbl 0811.35091 J. Am. Math. Soc. 7, No. 2, 307-334 (1994). Reviewer: M.Codegone (Torino) MSC: 35P25 47F05 81U10 PDFBibTeX XMLCite \textit{I. M. Sigal} and \textit{A. Soffer}, J. Am. Math. Soc. 7, No. 2, 307--334 (1994; Zbl 0811.35091) Full Text: DOI
Soffer, Avy On the many body problem in quantum mechanics. (English) Zbl 0809.47009 Robert, D. (ed.), Méthodes semi-classiques. Vol. 1. École d’été (Nantes, juin 1991). Paris: Société Mathématique de France, Astérisque. 207, 109-152 (1992). Reviewer: M.Demuth (Clausthal) MSC: 47A40 35P25 81U10 46L51 46L53 46L54 PDFBibTeX XMLCite \textit{A. Soffer}, in: Méthodes semi-classiques. Vol. 1. École d'été (Nantes, juin 1991). Paris: Société Mathématique de France. 109--152 (1992; Zbl 0809.47009)
Sigal, I. M.; Soffer, A. Asymptotic completeness of multiparticle scattering. (English) Zbl 0651.35071 Differential equations and mathematical physics, Proc. Int. Conf., Birmingham/Ala. 1986, Lect. Notes Math. 1285, 435-472 (1987). Reviewer: M.Combescure MSC: 35P25 81U10 47A40 35Q99 PDFBibTeX XML
Sigal, I. M.; Soffer, A. The N-particle scattering problem: asymptotic completeness for short- range systems. (English) Zbl 0646.47009 Ann. Math. (2) 126, 35-108 (1987). Reviewer: V.V.Peller MSC: 47A40 81U99 PDFBibTeX XMLCite \textit{I. M. Sigal} and \textit{A. Soffer}, Ann. Math. (2) 126, 35--108 (1987; Zbl 0646.47009) Full Text: DOI
Sigal, I. M.; Soffer, A. Asymptotic completeness of short-range many-body systems. (English) Zbl 0597.35026 Bull. Am. Math. Soc., New Ser. 14, 107-110 (1986). Reviewer: W.D.Evans MSC: 35J10 81U10 35P25 47A40 PDFBibTeX XMLCite \textit{I. M. Sigal} and \textit{A. Soffer}, Bull. Am. Math. Soc., New Ser. 14, 107--110 (1986; Zbl 0597.35026) Full Text: DOI
Soffer, A. Completeness of wave operators in relativistic quantum mechanics. (English) Zbl 0571.47010 Lett. Math. Phys. 8, 517-527 (1984). MSC: 47A40 PDFBibTeX XMLCite \textit{A. Soffer}, Lett. Math. Phys. 8, 517--527 (1984; Zbl 0571.47010) Full Text: DOI