Boßmann, Lea; Petrat, Sören; Pickl, Peter; Soffer, Avy Beyond Bogoliubov dynamics. (English) Zbl 1496.35332 Pure Appl. Anal. 3, No. 4, 677-726 (2021). Reviewer: Ágota Figula (Debrecen) MSC: 35Q40 35Q55 81Q05 82C10 81V70 35C20 35B20 PDFBibTeX XMLCite \textit{L. Boßmann} et al., Pure Appl. Anal. 3, No. 4, 677--726 (2021; Zbl 1496.35332) 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
Boßmann, Lea; Pavlović, Nataša; Pickl, Peter; Soffer, Avy Higher order corrections to the mean-field description of the dynamics of interacting bosons. (English) Zbl 1439.82029 J. Stat. Phys. 178, No. 6, 1362-1396 (2020). MSC: 82C22 82C10 81V10 35Q55 35Q40 PDFBibTeX XMLCite \textit{L. Boßmann} et al., J. Stat. Phys. 178, No. 6, 1362--1396 (2020; Zbl 1439.82029) Full Text: DOI arXiv
Petrat, Sören; Pickl, Peter; Soffer, Avy Derivation of the Bogoliubov time evolution for a large volume mean-field limit. (English) Zbl 1435.35322 Ann. Henri Poincaré 21, No. 2, 461-498 (2020). MSC: 35Q40 35Q55 81Q05 82C10 81V70 PDFBibTeX XMLCite \textit{S. Petrat} et al., Ann. Henri Poincaré 21, No. 2, 461--498 (2020; Zbl 1435.35322) Full Text: DOI arXiv
Chen, Thomas; Soffer, Avy Mean field dynamics of a quantum tracer particle interacting with a boson gas. (English) Zbl 1414.82026 J. Funct. Anal. 276, No. 3, 971-1006 (2019). Reviewer: Boris A. Malomed (Tel Aviv) MSC: 82C40 81V70 35Q40 82D05 PDFBibTeX XMLCite \textit{T. Chen} and \textit{A. Soffer}, J. Funct. Anal. 276, No. 3, 971--1006 (2019; Zbl 1414.82026) Full Text: DOI arXiv
Deng, Qingquan; Soffer, Avy; Yao, Xiaohua Endpoint Strichartz estimates for charge transfer Hamiltonians. (English) Zbl 1412.35281 Indiana Univ. Math. J. 67, No. 6, 2487-2522 (2018). MSC: 35Q40 37K40 35B40 35Q55 81U05 PDFBibTeX XMLCite \textit{Q. Deng} et al., Indiana Univ. Math. J. 67, No. 6, 2487--2522 (2018; Zbl 1412.35281) Full Text: DOI arXiv
Kachman, Tal; Fishman, Shmuel; Soffer, Avy Numerical implementation of the multiscale and averaging methods for quasi periodic systems. (English) Zbl 1498.81008 Comput. Phys. Commun. 221, 235-245 (2017). MSC: 81-08 81Q05 PDFBibTeX XMLCite \textit{T. Kachman} et al., Comput. Phys. Commun. 221, 235--245 (2017; Zbl 1498.81008) 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 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
Krueger, August J.; Soffer, Avy Dynamics of noncommutative solitons. I: Spectral theory and dispersive estimates. (English) Zbl 1345.81067 Ann. Henri Poincaré 17, No. 5, 1181-1208 (2016). Reviewer: Walter Freyn (Augsburg) MSC: 81R60 81Q05 35Q55 35C08 PDFBibTeX XMLCite \textit{A. J. Krueger} and \textit{A. Soffer}, Ann. Henri Poincaré 17, No. 5, 1181--1208 (2016; Zbl 1345.81067) Full Text: DOI arXiv
Beceanu, Marius; Soffer, Avy The Schrödinger equation with a potential in rough motion. (English) Zbl 1245.35099 Commun. Partial Differ. Equations 37, No. 4-6, 969-1000 (2012). MSC: 35Q41 35J10 35P25 35Q55 35Q40 81U05 PDFBibTeX XMLCite \textit{M. Beceanu} and \textit{A. Soffer}, Commun. Partial Differ. Equations 37, No. 4--6, 969--1000 (2012; Zbl 1245.35099) 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
Rivkind, Alexander; Krivolapov, Yevgeny; Fishman, Shmuel; Soffer, Avy Eigenvalue repulsion estimates and some applications for the one-dimensional Anderson model. (English) Zbl 1221.82059 J. Phys. A, Math. Theor. 44, No. 30, Article ID 305206, 18 p. (2011). MSC: 82B44 81Q10 82B20 PDFBibTeX XMLCite \textit{A. Rivkind} et al., J. Phys. A, Math. Theor. 44, No. 30, Article ID 305206, 18 p. (2011; Zbl 1221.82059) Full Text: DOI arXiv
Krivolapov, Yevgeny; Fishman, Shmuel; Soffer, Avy A numerical and symbolical approximation of the nonlinear Anderson model. (English) Zbl 1375.35495 New J. Phys. 12, No. 6, Article ID 063035, 22 p. (2010). MSC: 35Q55 81Q15 PDFBibTeX XMLCite \textit{Y. Krivolapov} et al., New J. Phys. 12, No. 6, Article ID 063035, 22 p. (2010; Zbl 1375.35495) Full Text: DOI arXiv
Rodnianski, Igor; Schlag, Wilhelm; Soffer, Avraham Dispersive analysis of charge transfer models. (English) Zbl 1130.81053 Commun. Pure Appl. Math. 58, No. 2, 149-216 (2005). MSC: 81U05 35B40 35Q40 35Q55 81Q10 PDFBibTeX XMLCite \textit{I. Rodnianski} et al., Commun. Pure Appl. Math. 58, No. 2, 149--216 (2005; Zbl 1130.81053) Full Text: DOI arXiv
Soffer, A.; Weinstein, M. I. Selection of the ground state for nonlinear Schrödinger equations. (English) Zbl 1111.81313 Rev. Math. Phys. 16, No. 8, 977-1071 (2004). MSC: 81Q10 35Q55 81U05 PDFBibTeX XMLCite \textit{A. Soffer} and \textit{M. I. Weinstein}, Rev. Math. Phys. 16, No. 8, 977--1071 (2004; Zbl 1111.81313) 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
Soffer, A. Dissipation through dispersion. (English) Zbl 0989.81152 Sigal, I. M. (ed.) et al., Nonlinear dynamics and renormalization group. Proceedings of the workshop, Montréal, Canada, August 1999. Providence, RI: American Mathematical Society (AMS). CRM Proc. Lect. Notes. 27, 175-184 (2001). MSC: 81V70 81Q05 35Q55 81U30 PDFBibTeX XMLCite \textit{A. Soffer}, in: Nonlinear dynamics and renormalization group. Proceedings of the workshop, Montréal, Canada, August 1999. Providence, RI: American Mathematical Society (AMS). 175--184 (2001; Zbl 0989.81152)
Miller, P. D.; Soffer, A.; Weinstein, M. I. Metastability of breather modes of time-dependent potentials. (English) Zbl 0979.37038 Nonlinearity 13, No. 3, 507-568 (2000). Reviewer: Lev Lerman (Nizhny Novgorod) MSC: 37K55 35C20 78A60 81Q05 81Q15 35C15 35Q55 PDFBibTeX XMLCite \textit{P. D. Miller} et al., Nonlinearity 13, No. 3, 507--568 (2000; Zbl 0979.37038) Full Text: DOI arXiv Link
Łaba, I.; Soffer, A. Global existence and scattering for the nonlinear Schrödinger equation on Schwarzschild manifolds. (English) Zbl 0976.58019 Helv. Phys. Acta 72, No. 4, 274-294 (1999). MSC: 58J45 35Q75 58J50 81Q05 PDFBibTeX XMLCite \textit{I. Łaba} and \textit{A. Soffer}, Helv. Phys. Acta 72, No. 4, 274--294 (1999; Zbl 0976.58019) Full Text: 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
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
Soffer, A.; Weinstein, M. I. Resonances, radiation damping and instability in Hamiltonian nonlinear wave equations. (English) Zbl 0910.35107 Invent. Math. 136, No. 1, 9-74 (1999). Reviewer: M.I.Weinstein (Ann Arbor) MSC: 35Q40 81Q05 35B40 PDFBibTeX XML Full Text: DOI arXiv
Soffer, A.; Weinstein, M. I. Nonautonomous Hamiltonians. (English) Zbl 0936.35148 J. Stat. Phys. 93, No. 1-2, 359-391 (1998). MSC: 35Q40 81Q10 37K05 PDFBibTeX XMLCite \textit{A. Soffer} and \textit{M. I. Weinstein}, J. Stat. Phys. 93, No. 1--2, 359--391 (1998; Zbl 0936.35148) Full Text: DOI arXiv
Soffer, A. Time dependent resonance theory in quantum mechanics. (English) Zbl 0888.35093 Demuth, Michael (ed.) et al., Differential equations, asymptotic analysis, and mathematical physics. Papers associated with the international conference on partial differential equations, Potsdam, Germany, June 29–July 2, 1996. Akademie Verlag: Akademie Verlag. Math. Res. 100, 384-391 (1997). MSC: 35Q40 81Q10 81U20 35B40 PDFBibTeX XMLCite \textit{A. Soffer}, in: Differential equations, asymptotic analysis, and mathematical physics. Papers associated with the international conference on partial differential equations, Potsdam, Germany, June 29--July 2, 1996. Berlin: Akademie Verlag. 384--391 (1997; Zbl 0888.35093)
Boutet de Monvel-Berthier, Anne; Georgescu, Vladimir; Soffer, Avy \(N\)-body Hamiltonians with hard-core interactions. (English) Zbl 0818.35094 Rev. Math. Phys. 6, No. 4, 515-596 (1994). Reviewer: J.Asch (Marseille) MSC: 35Q40 81U10 35P25 PDFBibTeX XMLCite \textit{A. Boutet de Monvel-Berthier} et al., Rev. Math. Phys. 6, No. 4, 515--596 (1994; Zbl 0818.35094) 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, A.; Weinstein, M. I. Multichannel nonlinear scattering for nonintegrable equations. II: The case of anisotropic potentials and data. (English) Zbl 0795.35073 J. Differ. Equations 98, No. 2, 376-390 (1992). MSC: 35P25 35Q55 81U30 PDFBibTeX XMLCite \textit{A. Soffer} and \textit{M. I. Weinstein}, J. Differ. Equations 98, No. 2, 376--390 (1992; Zbl 0795.35073) Full Text: DOI Link
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. 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
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.; Horwitz, L. P. \(B^*\)-algebra representations in a quaternionic Hilbert module. (English) Zbl 0546.46063 J. Math. Phys. 24, 2780-2782 (1983). MSC: 46N99 46H25 46S10 81T08 81P10 PDFBibTeX XMLCite \textit{A. Soffer} and \textit{L. P. Horwitz}, J. Math. Phys. 24, 2780--2782 (1983; Zbl 0546.46063) Full Text: DOI