Bai, Ruobing; Shen, Jia; Wu, Yifei Large global solutions for the energy-critical nonlinear Schrödinger equation. (English) Zbl 1527.35364 SIAM J. Math. Anal. 55, No. 5, 4193-4218 (2023). MSC: 35Q55 35Q41 35B40 35A01 35A02 PDFBibTeX XMLCite \textit{R. Bai} et al., SIAM J. Math. Anal. 55, No. 5, 4193--4218 (2023; Zbl 1527.35364) Full Text: DOI arXiv
Simon, Barry Twelve tales in mathematical physics: an expanded Heineman Prize lecture. (English) Zbl 1507.01028 J. Math. Phys. 63, No. 2, Article ID 021101, 93 p. (2022). MSC: 01A65 81-01 82-01 PDFBibTeX XMLCite \textit{B. Simon}, J. Math. Phys. 63, No. 2, Article ID 021101, 93 p. (2022; Zbl 1507.01028) 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
Schlag, W. On pointwise decay of waves. (English) Zbl 1467.81039 J. Math. Phys. 62, No. 6, Article ID 061509, 27 p. (2021). MSC: 81Q05 81Q35 35B40 83C57 35Q55 35B44 PDFBibTeX XMLCite \textit{W. Schlag}, J. Math. Phys. 62, No. 6, Article ID 061509, 27 p. (2021; Zbl 1467.81039) Full Text: DOI arXiv
Beceanu, Marius; Deng, Qingquan; Soffer, Avy; Wu, Yifei Large global solutions for nonlinear Schrödinger equations. II: Mass-supercritical, energy-subcritical cases. (English) Zbl 1462.35346 Commun. Math. Phys. 382, No. 1, 173-237 (2021). MSC: 35Q55 35L71 35L15 35A01 35A02 PDFBibTeX XMLCite \textit{M. Beceanu} et al., Commun. Math. Phys. 382, No. 1, 173--237 (2021; Zbl 1462.35346) Full Text: DOI arXiv
Vasy, András Essential self-adjointness of the wave operator and the limiting absorption principle on Lorentzian scattering spaces. (English) Zbl 1445.35233 J. Spectr. Theory 10, No. 2, 439-461 (2020). MSC: 35L05 35P05 58J47 PDFBibTeX XMLCite \textit{A. Vasy}, J. Spectr. Theory 10, No. 2, 439--461 (2020; Zbl 1445.35233) Full Text: DOI arXiv
Alvarez, Benjamin Louis; Faupin, Jérémy Scattering theory for mathematical models of the weak interaction. (English) Zbl 1436.81083 Rev. Math. Phys. 32, No. 1, Article ID 2050002, 80 p. (2020). MSC: 81T10 81U20 81U90 81V15 81V22 30H20 47A40 PDFBibTeX XMLCite \textit{B. L. Alvarez} and \textit{J. Faupin}, Rev. Math. Phys. 32, No. 1, Article ID 2050002, 80 p. (2020; Zbl 1436.81083) Full Text: DOI arXiv
Simon, Barry Tosio Kato’s work on non-relativistic quantum mechanics. II. (English) Zbl 1472.81094 Bull. Math. Sci. 9, No. 1, Article ID 1950005, 105 p. (2019). Reviewer: Heinz Siedentop (München) MSC: 81Q10 81U05 47A55 35Q40 46N50 81Q15 PDFBibTeX XMLCite \textit{B. Simon}, Bull. Math. Sci. 9, No. 1, Article ID 1950005, 105 p. (2019; Zbl 1472.81094) Full Text: DOI arXiv
Simon, Barry Tosio Kato’s work on non-relativistic quantum mechanics. I. (English) Zbl 1416.81063 Bull. Math. Sci. 8, No. 1, 121-232 (2018). Reviewer: Heinz Siedentop (München) MSC: 81Q10 81U05 47A55 35Q40 46N50 81Q15 01A70 PDFBibTeX XMLCite \textit{B. Simon}, Bull. Math. Sci. 8, No. 1, 121--232 (2018; Zbl 1416.81063) Full Text: DOI
Dybalski, Wojciech Asymptotic observables in gapped quantum spin systems. (English) Zbl 1386.81112 Commun. Math. Phys. 357, No. 1, 231-248 (2018). MSC: 81T05 81U20 82B20 46L60 PDFBibTeX XMLCite \textit{W. Dybalski}, Commun. Math. Phys. 357, No. 1, 231--248 (2018; Zbl 1386.81112) Full Text: DOI arXiv
Hong, Younghun Strichartz estimates for \(N\)-body Schrödinger operators with small potential interactions. (English) Zbl 1371.35233 Discrete Contin. Dyn. Syst. 37, No. 10, 5355-5365 (2017). MSC: 35Q40 35Q41 81U10 35B40 35Q70 35P25 PDFBibTeX XMLCite \textit{Y. Hong}, Discrete Contin. Dyn. Syst. 37, No. 10, 5355--5365 (2017; Zbl 1371.35233) Full Text: DOI
Vasy, András On the positivity of propagator differences. (English) Zbl 1360.81173 Ann. Henri Poincaré 18, No. 3, 983-1007 (2017). MSC: 81Q35 81T20 47A10 47B65 81U05 PDFBibTeX XMLCite \textit{A. Vasy}, Ann. Henri Poincaré 18, No. 3, 983--1007 (2017; Zbl 1360.81173) Full Text: DOI arXiv
Soffer, Avy; Xiao, Jianguo Multi-center vector field methods for wave equations. (English) Zbl 1413.58012 Math. Phys. Anal. Geom. 19, No. 4, Paper No. 22, 36 p. (2016). MSC: 58J45 35B40 35J10 35L70 35Q41 35Q55 PDFBibTeX XMLCite \textit{A. Soffer} and \textit{J. Xiao}, Math. Phys. Anal. Geom. 19, No. 4, Paper No. 22, 36 p. (2016; Zbl 1413.58012) 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
Bachmann, Sven; Dybalski, Wojciech; Naaijkens, Pieter Lieb-Robinson bounds, Arveson spectrum and Haag-Ruelle scattering theory for gapped quantum spin systems. (English) Zbl 1344.81115 Ann. Henri Poincaré 17, No. 7, 1737-1791 (2016). MSC: 81T05 81U05 46L60 82B20 46L30 81U20 PDFBibTeX XMLCite \textit{S. Bachmann} et al., Ann. Henri Poincaré 17, No. 7, 1737--1791 (2016; Zbl 1344.81115) 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
Dybalski, Wojciech; Møller, Jacob Schach The translation invariant massive Nelson model. III: asymptotic completeness below the two-boson threshold. (English) Zbl 1329.81355 Ann. Henri Poincaré 16, No. 11, 2603-2693 (2015). Reviewer: Akira Asada (Takarazuka) MSC: 81U05 81Q10 81T05 47A40 PDFBibTeX XMLCite \textit{W. Dybalski} and \textit{J. S. Møller}, Ann. Henri Poincaré 16, No. 11, 2603--2693 (2015; Zbl 1329.81355) Full Text: DOI arXiv
De Roeck, W.; Griesemer, M.; Kupiainen, A. Asymptotic completeness for the massless spin-boson model. (English) Zbl 1310.81110 Adv. Math. 268, 62-84 (2015). MSC: 81T05 81T10 81U05 PDFBibTeX XMLCite \textit{W. De Roeck} et al., Adv. Math. 268, 62--84 (2015; Zbl 1310.81110) Full Text: DOI arXiv
Dybalski, Wojciech; Gérard, Christian A criterion for asymptotic completeness in local relativistic QFT. (English) Zbl 1309.81125 Commun. Math. Phys. 332, No. 3, 1167-1202 (2014). Reviewer: J. M. Hoff da Silva (Guaratinguetá) MSC: 81T05 81R15 46L60 PDFBibTeX XMLCite \textit{W. Dybalski} and \textit{C. Gérard}, Commun. Math. Phys. 332, No. 3, 1167--1202 (2014; Zbl 1309.81125) Full Text: DOI arXiv Link
Sâad, R. Ben; Pillet, C.-A. A geometric approach to the Landauer-Büttiker formula. (English) Zbl 1297.82033 J. Math. Phys. 55, No. 7, 075202, 138 p. (2014). Reviewer: Claudia-Veronika Meister (Darmstadt) MSC: 82C70 82D10 82C10 PDFBibTeX XMLCite \textit{R. B. Sâad} and \textit{C. A. Pillet}, J. Math. Phys. 55, No. 7, 075202, 138 p. (2014; Zbl 1297.82033) 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
Dybalski, Wojciech; Gérard, Christian Towards asymptotic completeness of two-particle scattering in local relativistic QFT. (English) Zbl 1288.81067 Commun. Math. Phys. 326, No. 1, 81-109 (2014). Reviewer: Franco Strocchi (Pisa) MSC: 81T05 81T10 81U05 46L60 PDFBibTeX XMLCite \textit{W. Dybalski} and \textit{C. Gérard}, Commun. Math. Phys. 326, No. 1, 81--109 (2014; Zbl 1288.81067) Full Text: DOI arXiv
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
Datchev, Kiril; Vasy, András Propagation through trapped sets and semiclassical resolvent estimates. (Propagation à travers des ensembles captés et estimations semiclassiques de la résolvante.) (English. French summary) Zbl 1271.58014 Ann. Inst. Fourier 62, No. 6, 2347-2377 (2012); addendum ibid. 62, No. 6, 2379-2384 (2012). Reviewer: Sönke Hansen (Paderborn) MSC: 58J47 35L05 PDFBibTeX XMLCite \textit{K. Datchev} and \textit{A. Vasy}, Ann. Inst. Fourier 62, No. 6, 2347--2377 (2012; Zbl 1271.58014) Full Text: DOI arXiv
Gérard, Christian Scattering theory for Klein-Gordon equations with non-positive energy. (English) Zbl 1253.81049 Ann. Henri Poincaré 13, No. 4, 883-941 (2012). Reviewer: Michael Perelmuter (Kyïv) MSC: 81Q05 47A40 35P25 81U05 81U20 46C20 PDFBibTeX XMLCite \textit{C. Gérard}, Ann. Henri Poincaré 13, No. 4, 883--941 (2012; Zbl 1253.81049) Full Text: DOI arXiv
Gérard, Christian; Møller, Jacob Schach; Rasmussen, Morten Grud Asymptotic completeness in quantum field theory: translation invariant Nelson type models restricted to the vacuum and one-particle sectors. (English) Zbl 1209.81149 Lett. Math. Phys. 95, No. 2, 109-134 (2011). MSC: 81T10 81Q10 47A40 81U30 81T05 81S20 PDFBibTeX XMLCite \textit{C. Gérard} et al., Lett. Math. Phys. 95, No. 2, 109--134 (2011; Zbl 1209.81149) Full Text: DOI arXiv
Kitada, Hitoshi A remark on simple scattering theory. (English) Zbl 1208.35098 Commun. Math. Anal. 11, No. 2, 124-138 (2011). MSC: 35P25 81U05 47A40 35J10 35S30 PDFBibTeX XMLCite \textit{H. Kitada}, Commun. Math. Anal. 11, No. 2, 124--138 (2011; Zbl 1208.35098) Full Text: Euclid
Dybalski, Wojciech Continuous spectrum of automorphism groups and the infraparticle problem. (English) Zbl 1203.46040 Commun. Math. Phys. 300, No. 1, 273-299 (2010). Reviewer: Cătălin Badea (Villeneuve d’Ascq) MSC: 46L40 81R15 PDFBibTeX XMLCite \textit{W. Dybalski}, Commun. Math. Phys. 300, No. 1, 273--299 (2010; Zbl 1203.46040) Full Text: DOI arXiv
Vasy, András The wave equation on asymptotically de Sitter-like spaces. (English) Zbl 1191.35064 Adv. Math. 223, No. 1, 49-97 (2010). Reviewer: Ömer Kavaklioglu (Izmir) MSC: 35B40 35S30 58J45 35Q75 35Q40 PDFBibTeX XMLCite \textit{A. Vasy}, Adv. Math. 223, No. 1, 49--97 (2010; Zbl 1191.35064) Full Text: DOI arXiv
Friesecke, Gero; Koppen, Mario On the Ehrenfest theorem of quantum mechanics. (English) Zbl 1223.81105 J. Math. Phys. 50, No. 8, 082102, 6 p. (2009). MSC: 81Q10 81P05 47B25 47A60 81S05 81V55 PDFBibTeX XMLCite \textit{G. Friesecke} and \textit{M. Koppen}, J. Math. Phys. 50, No. 8, 082102, 6 p. (2009; Zbl 1223.81105) Full Text: DOI arXiv
Blue, P.; Soffer, A. Phase space analysis on some black hole manifolds. (English) Zbl 1158.83007 J. Funct. Anal. 256, No. 1, 1-90 (2009). MSC: 83C05 83C57 35Q75 PDFBibTeX XMLCite \textit{P. Blue} and \textit{A. Soffer}, J. Funct. Anal. 256, No. 1, 1--90 (2009; Zbl 1158.83007) Full Text: DOI arXiv
Adachi, Tadayoshi Asymptotic completeness for \(N\)-body quantum systems with long-range interactions in a time-periodic electric field. (English) Zbl 1137.81044 Commun. Math. Phys. 275, No. 2, 443-477 (2007). Reviewer: Ricardo Weder (México City) MSC: 81U10 35P25 47A40 47N50 PDFBibTeX XMLCite \textit{T. Adachi}, Commun. Math. Phys. 275, No. 2, 443--477 (2007; Zbl 1137.81044) Full Text: DOI
Richard, Serge Spectral and scattering theory for Schrödinger operators with Cartesian anisotropy. (English) Zbl 1135.35056 Publ. Res. Inst. Math. Sci. 41, No. 1, 73-111 (2005). Reviewer: Nikita E. Ratanov (Bogotá) MSC: 35P25 35J10 47C15 81Q10 PDFBibTeX XMLCite \textit{S. Richard}, Publ. Res. Inst. Math. Sci. 41, No. 1, 73--111 (2005; Zbl 1135.35056) Full Text: DOI
Daudé, Thierry Propagation estimates for Dirac operators and application to scattering theory. (English) Zbl 1080.35101 Ann. Inst. Fourier 54, No. 6, 2021-2083 (2004). Reviewer: Hideo Yamagata (Osaka) MSC: 35Q40 35P25 81Q10 81U05 PDFBibTeX XMLCite \textit{T. Daudé}, Ann. Inst. Fourier 54, No. 6, 2021--2083 (2004; Zbl 1080.35101) Full Text: DOI Numdam EuDML Link
Gérard, C. On the scattering theory of massless Nelson models. (English) Zbl 1039.81053 Rev. Math. Phys. 14, No. 11, 1165-1280 (2002). MSC: 81V10 81U99 81T10 81T08 47A40 47N50 PDFBibTeX XMLCite \textit{C. Gérard}, Rev. Math. Phys. 14, No. 11, 1165--1280 (2002; Zbl 1039.81053) Full Text: DOI
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; Wang, Xue Ping Smoothness and high energy asymptotics of the spectral shift function in many-body scattering. (English) Zbl 1020.35067 Commun. Partial Differ. Equations 27, No. 11-12, 2139-2186 (2002). Reviewer: Viorel Iftimie (Bucureşti) MSC: 35P25 81U10 PDFBibTeX XMLCite \textit{A. Vasy} and \textit{X. P. Wang}, Commun. Partial Differ. Equations 27, No. 11--12, 2139--2186 (2002; Zbl 1020.35067) Full Text: DOI arXiv
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
Møller, Jacob Schach Two-body short-range systems in a time-periodic electric field. (English) Zbl 1010.81083 Duke Math. J. 105, No. 1, 135-166 (2000). Reviewer: Michael Perelmuter (Kyïv) MSC: 81U05 81Q10 47F05 47N50 47A40 PDFBibTeX XMLCite \textit{J. S. Møller}, Duke Math. J. 105, No. 1, 135--166 (2000; Zbl 1010.81083) Full Text: DOI
Simon, Barry Schrödinger operators in the twentieth century. (English) Zbl 0981.81025 J. Math. Phys. 41, No. 6, 3523-3555 (2000). MSC: 81Q10 81-02 81U05 01A60 81-03 35-03 47B25 47E05 47F05 PDFBibTeX XMLCite \textit{B. Simon}, J. Math. Phys. 41, No. 6, 3523--3555 (2000; Zbl 0981.81025) 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
Hassell, Andrew Scattering matrices for the quantum \(N\) body problem. (English) Zbl 0942.35125 Trans. Am. Math. Soc. 352, No. 8, 3799-3820 (2000). Reviewer: M.Perelmuter (Kyïv) MSC: 35P25 81U10 81U20 35P10 PDFBibTeX XMLCite \textit{A. Hassell}, Trans. Am. Math. Soc. 352, No. 8, 3799--3820 (2000; Zbl 0942.35125) Full Text: DOI
Dereziński, J.; Gérard, C. Asymptotic completeness in quantum field theory. Massive Pauli-Fierz Hamiltonians. (English) Zbl 1044.81556 Rev. Math. Phys. 11, No. 4, 383-450 (1999). MSC: 81Q10 81T08 47N50 81T10 PDFBibTeX XMLCite \textit{J. Dereziński} and \textit{C. Gérard}, Rev. Math. Phys. 11, No. 4, 383--450 (1999; Zbl 1044.81556) Full Text: DOI
Dereziński, J. Asymptotic completeness in quantum field theory. A class of Galilei-covariant models. (English) Zbl 1079.81580 Rev. Math. Phys. 10, No. 2, 191-233 (1998). MSC: 81U10 46N50 47N50 81T05 PDFBibTeX XMLCite \textit{J. Dereziński}, Rev. Math. Phys. 10, No. 2, 191--233 (1998; Zbl 1079.81580) Full Text: DOI
Jecko, Th. Classical limit of elastic scattering operator of a diatomic molecule in the Born-Oppenheimer approximation. (English) Zbl 1004.81511 Ann. Inst. Henri Poincaré, Phys. Théor. 69, No. 1, 83-131 (1998). Reviewer: M.Perelmuter (Kyïv) MSC: 81Q20 PDFBibTeX XMLCite \textit{Th. Jecko}, Ann. Inst. Henri Poincaré, Phys. Théor. 69, No. 1, 83--131 (1998; Zbl 1004.81511) Full Text: Numdam EuDML
Griesemer, Marcel \(N\)-body quantum systems with singular potentials. (English) Zbl 0916.47052 Ann. Inst. Henri Poincaré, Phys. Théor. 69, No. 2, 135-187 (1998). Reviewer: P.Dyshlovenko (Ul’yanovsk) MSC: 47N50 81V70 47A40 81U10 PDFBibTeX XMLCite \textit{M. Griesemer}, Ann. Inst. Henri Poincaré, Phys. Théor. 69, No. 2, 135--187 (1998; Zbl 0916.47052) Full Text: Numdam EuDML
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
Zielinski, Lech Dispersive charge transfer model with long-range quantum interactions. (English) Zbl 0913.35112 J. Math. Anal. Appl. 217, No. 1, 43-71 (1998). Reviewer: Marcel Griesemer (Birmingham / Alabama) MSC: 35Q40 81U10 PDFBibTeX XMLCite \textit{L. Zielinski}, J. Math. Anal. Appl. 217, No. 1, 43--71 (1998; Zbl 0913.35112) Full Text: DOI
Vasy, András Structure of the resolvent for three-body potentials. (English) Zbl 0891.35111 Duke Math. J. 90, No. 2, 379-434 (1997). Reviewer: Heinz Siedentop (Regensburg) MSC: 35P25 35J10 81U10 PDFBibTeX XMLCite \textit{A. Vasy}, Duke Math. J. 90, No. 2, 379--434 (1997; Zbl 0891.35111) Full Text: DOI
Zielinski, Lech Asymptotic completeness for multiparticle dispersive charge transfer models. (English) Zbl 0891.35134 J. Funct. Anal. 150, No. 2, 453-470 (1997). Reviewer: H.Yamagata (Osaka) MSC: 35Q40 81Q10 35P10 PDFBibTeX XMLCite \textit{L. Zielinski}, J. Funct. Anal. 150, No. 2, 453--470 (1997; Zbl 0891.35134) Full Text: DOI
Zielinski, Lech Scattering for a dispersive charge transfer model. (English) Zbl 0887.35110 Ann. Inst. Henri Poincaré, Phys. Théor. 67, No. 4, 339-386 (1997). Reviewer: V.Burjan (Praha) MSC: 35P10 35P25 81U10 PDFBibTeX XMLCite \textit{L. Zielinski}, Ann. Inst. Henri Poincaré, Phys. Théor. 67, No. 4, 339--386 (1997; Zbl 0887.35110) Full Text: Numdam EuDML
Dereziński, J.; Gérard, C. Long-range scattering in the position representation. (English) Zbl 0886.34072 J. Math. Phys. 38, No. 8, 3925-3942 (1997). Reviewer: Vinicio C.Boffi (Roma) MSC: 34L25 81U10 PDFBibTeX XMLCite \textit{J. Dereziński} and \textit{C. Gérard}, J. Math. Phys. 38, No. 8, 3925--3942 (1997; Zbl 0886.34072) 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
Wang, X. P. High energy asymptotics for \(N\)-body scattering matrices with arbitrary channels. (English) Zbl 0858.35096 Ann. Inst. Henri Poincaré, Phys. Théor. 65, No. 1, 81-108 (1996). MSC: 35P25 81U10 47N50 35J10 PDFBibTeX XMLCite \textit{X. P. Wang}, Ann. Inst. Henri Poincaré, Phys. Théor. 65, No. 1, 81--108 (1996; Zbl 0858.35096) Full Text: 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
Herbst, Ira; Møller, Jacob Schach; Skibsted, Erik Asymptotic completeness for \(N\)-body Stark Hamiltonians. (English) Zbl 0846.35096 Commun. Math. Phys. 174, No. 3, 509-535 (1996). Reviewer: D.R.Yafaev (Rennes) MSC: 35P25 81U10 PDFBibTeX XMLCite \textit{I. Herbst} et al., Commun. Math. Phys. 174, No. 3, 509--535 (1996; Zbl 0846.35096) Full Text: DOI
Adachi, Tadayoshi Propagation estimates for \(N\)-body Stark Hamiltonians. (English) Zbl 0843.35087 Ann. Inst. Henri Poincaré, Phys. Théor. 62, No. 4, 409-428 (1995). Reviewer: L.Vazquez (Madrid) MSC: 35Q40 81Q05 35F10 81V70 PDFBibTeX XMLCite \textit{T. Adachi}, Ann. Inst. Henri Poincaré, Phys. Théor. 62, No. 4, 409--428 (1995; Zbl 0843.35087) Full Text: Numdam EuDML
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
Herbst, Ira; Skibsted, Erik Free channel Fourier transform in the long-range \(N\)-body problem. (English) Zbl 0866.70008 J. Anal. Math. 65, 297-332 (1995). Reviewer: B.D.Jovanović (Novi Sad) MSC: 70F10 81V70 42B10 PDFBibTeX XMLCite \textit{I. Herbst} and \textit{E. Skibsted}, J. Anal. Math. 65, 297--332 (1995; Zbl 0866.70008) Full Text: DOI
Treves, François Parametrices for a class of Schrödinger equations. (English) Zbl 0832.35160 Commun. Pure Appl. Math. 48, No. 1, 13-78 (1995). Reviewer: B.Helffer (Orsay) MSC: 35S30 35Q40 35J10 PDFBibTeX XMLCite \textit{F. Treves}, Commun. Pure Appl. Math. 48, No. 1, 13--78 (1995; Zbl 0832.35160) Full Text: DOI
Ito, Hiroshi T. Charge transfer model and three body-scattering. (English) Zbl 0826.35089 J. Math. Phys. 36, No. 1, 115-132 (1995). MSC: 35P25 81U10 PDFBibTeX XMLCite \textit{H. T. Ito}, J. Math. Phys. 36, No. 1, 115--132 (1995; Zbl 0826.35089) Full Text: DOI
Yafaev, D. Resolvent estimates and scattering matrix for \(N\)-particle Hamiltonians. (English) Zbl 0823.47010 Integral Equations Oper. Theory 21, No. 1, 93-126 (1995). MSC: 47A40 47F05 81U20 PDFBibTeX XMLCite \textit{D. Yafaev}, Integral Equations Oper. Theory 21, No. 1, 93--126 (1995; Zbl 0823.47010) 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
Chandler, Colston; Gibson, Archie G. \(N\)-body quantum scattering theory in two Hilbert spaces. VII: Real- energy limits. (English) Zbl 0808.47051 J. Math. Phys. 35, No. 4, 1487-1512 (1994). MSC: 47N50 81U10 47A40 PDFBibTeX XMLCite \textit{C. Chandler} and \textit{A. G. Gibson}, J. Math. Phys. 35, No. 4, 1487--1512 (1994; Zbl 0808.47051) 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
Poerschke, Thomas; Stolz, Günter On eigenfunction expansions and scattering theory. (English) Zbl 0793.47007 Math. Z. 212, No. 3, 337-357 (1993). Reviewer: G.Stolz MSC: 47A40 35P25 47B25 47A70 81U10 PDFBibTeX XMLCite \textit{T. Poerschke} and \textit{G. Stolz}, Math. Z. 212, No. 3, 337--357 (1993; Zbl 0793.47007) Full Text: DOI EuDML
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
Tamura, Hideo Scattering theory for \(N\)-particle systems with Stark effect: Asymptotic completeness. (English) Zbl 0831.35124 Publ. Res. Inst. Math. Sci. 29, No. 5, 869-884 (1993). Reviewer: D.R.Yafaev (Rennes) MSC: 35P25 81U10 PDFBibTeX XMLCite \textit{H. Tamura}, Publ. Res. Inst. Math. Sci. 29, No. 5, 869--884 (1993; Zbl 0831.35124) Full Text: DOI
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
Zielinski, Lech Asymptotic completeness of a charge transfer model. (Complétude asymptotique pour un modèle du transfert de charge.) (French) Zbl 0791.35114 Ann. Inst. Henri Poincaré, Phys. Théor. 58, No. 4, 363-411 (1993). Reviewer: D.R.Yafaev (Rennes) MSC: 35Q40 81V70 35P05 PDFBibTeX XMLCite \textit{L. Zielinski}, Ann. Inst. Henri Poincaré, Phys. Théor. 58, No. 4, 363--411 (1993; Zbl 0791.35114) Full Text: Numdam EuDML
Wang, Xue Ping Total cross sections in \(N\)-body problems: Finiteness and high energy asymptotics. (English) Zbl 0839.35113 Commun. Math. Phys. 156, No. 2, 333-354 (1993). MSC: 35Q40 81U10 PDFBibTeX XMLCite \textit{X. P. Wang}, Commun. Math. Phys. 156, No. 2, 333--354 (1993; Zbl 0839.35113) Full Text: DOI
Yafaev, D. Radiation conditions and scattering theory for \(N\)-particle Hamiltonians. (English) Zbl 0781.35048 Commun. Math. Phys. 154, No. 3, 523-554 (1993). Reviewer: V.Petkov (Bordeaux) MSC: 35P25 81U40 35Q40 PDFBibTeX XMLCite \textit{D. Yafaev}, Commun. Math. Phys. 154, No. 3, 523--554 (1993; Zbl 0781.35048) Full Text: DOI
Tamura, Hideo Asymptotic completeness for four-body Schrödinger operators with short- range interactions. (English) Zbl 0785.35071 Publ. Res. Inst. Math. Sci. 29, No. 1, 1-21 (1993). Reviewer: D.R.Yafaev (Rennes) MSC: 35P25 81U10 PDFBibTeX XMLCite \textit{H. Tamura}, Publ. Res. Inst. Math. Sci. 29, No. 1, 1--21 (1993; Zbl 0785.35071) Full Text: DOI
Wang, Xue Ping On the three-body long-range scattering problems. (English) Zbl 0776.35045 Lett. Math. Phys. 25, No. 4, 267-276 (1992). Reviewer: M.Codegone (Torino) MSC: 35P25 81U10 35A27 PDFBibTeX XMLCite \textit{X. P. Wang}, Lett. Math. Phys. 25, No. 4, 267--276 (1992; Zbl 0776.35045) 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
Gérard, C. Sharp propagation estimates for \(N\)-particle systems. (English) Zbl 0760.35049 Duke Math. J. 67, No. 3, 483-515 (1992). Reviewer: B.Helffer (Paris) MSC: 35Q72 35S05 70F10 PDFBibTeX XMLCite \textit{C. Gérard}, Duke Math. J. 67, No. 3, 483--515 (1992; Zbl 0760.35049) Full Text: DOI
Isozaki, Hiroshi Structures of S-matrices for three body Schrödinger operators. (English) Zbl 0748.35026 Commun. Math. Phys. 146, No. 2, 241-258 (1992). MSC: 35P25 81U20 35Q40 47A40 81U10 PDFBibTeX XMLCite \textit{H. Isozaki}, Commun. Math. Phys. 146, No. 2, 241--258 (1992; Zbl 0748.35026) Full Text: DOI
Chandler, Colston; Gibson, Archie G. \(N\)-body quantum scattering theory in two Hilbert spaces. VI: Compactness conditions. (English) Zbl 0768.47033 J. Math. Phys. 33, No. 10, 3477-3492 (1992). MSC: 47N50 81U10 47A40 PDFBibTeX XMLCite \textit{C. Chandler} and \textit{A. G. Gibson}, J. Math. Phys. 33, No. 10, 3477--3492 (1992; Zbl 0768.47033) 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
Gérard, C. The Mourre estimate for regular dispersive systems. (English) Zbl 0724.35083 Ann. Inst. Henri Poincaré, Phys. Théor. 54, No. 1, 59-88 (1991). Reviewer: A.D.Osborne (Keele) MSC: 35P25 35Q40 81Q10 PDFBibTeX XMLCite \textit{C. Gérard}, Ann. Inst. Henri Poincaré, Phys. Théor. 54, No. 1, 59--88 (1991; Zbl 0724.35083) Full Text: Numdam EuDML
Boutet de Monvel-Berthier, Anne; Manda, Dragos; Purice, Radu The commutator method for form-relatively compact perturbations. (English) Zbl 0752.35042 Lett. Math. Phys. 22, No. 3, 211-223 (1991). MSC: 35P25 47A11 81U05 PDFBibTeX XMLCite \textit{A. Boutet de Monvel-Berthier} et al., Lett. Math. Phys. 22, No. 3, 211--223 (1991; Zbl 0752.35042) 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
Soffer, A.; Weinstein, M. I. Multichannel nonlinear scattering for nonintegrable equations. (English) Zbl 0721.35082 Commun. Math. Phys. 133, No. 1, 119-146 (1990). Reviewer: D.Robert (Nantes) MSC: 35Q55 35B40 35B35 35P25 PDFBibTeX XMLCite \textit{A. Soffer} and \textit{M. I. Weinstein}, Commun. Math. Phys. 133, No. 1, 119--146 (1990; Zbl 0721.35082) Full Text: DOI
Derezinski, Jan Criteria for the Kato smoothness with respect to a dispersive n-body Schrödinger operator. (English) Zbl 0716.47006 J. Math. Phys. 31, No. 4, 842-850 (1990). MSC: 47A40 47A10 47F05 35J10 81Q10 PDFBibTeX XMLCite \textit{J. Derezinski}, J. Math. Phys. 31, No. 4, 842--850 (1990; Zbl 0716.47006) 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
Vakulenko, A. F. On a variant of commutator estimates in spectral theory. (English. Russian original) Zbl 0695.47003 J. Sov. Math. 49, No. 5, 1136-1139 (1990); translation from Zap. Nauchn. Semin. Leningr. Otd. Mat. Inst. Steklova 163, 29-36 (1987). MSC: 47A10 47A40 47B47 PDFBibTeX XMLCite \textit{A. F. Vakulenko}, J. Sov. Math. 49, No. 5, 1136--1139 (1990; Zbl 0695.47003); translation from Zap. Nauchn. Semin. Leningr. Otd. Mat. Inst. Steklova 163, 29--36 (1987) Full Text: DOI EuDML
Narnhofer, H.; Thirring, W. Mixing properties of quantum systems. (English) Zbl 0716.60133 J. Stat. Phys. 57, No. 3-4, 811-825 (1989). MSC: 60K40 46L89 82C99 PDFBibTeX XMLCite \textit{H. Narnhofer} and \textit{W. Thirring}, J. Stat. Phys. 57, No. 3--4, 811--825 (1989; Zbl 0716.60133) Full Text: DOI
Amrein, W. O.; Boutet de Monvel-Berthier, A.; Georgescu, V. Commutators of Schrödinger Hamiltonians and applications in scattering theory. (English) Zbl 0698.35111 Lett. Math. Phys. 18, No. 3, 223-228 (1989). Reviewer: R.Salvi MSC: 35P25 81U10 35J10 PDFBibTeX XMLCite \textit{W. O. Amrein} et al., Lett. Math. Phys. 18, No. 3, 223--228 (1989; Zbl 0698.35111) Full Text: DOI
Dereziński, Jan A new proof of the propagation theorem for N-body quantum systems. (English) Zbl 0677.47006 Commun. Math. Phys. 122, No. 2, 203-231 (1989). Reviewer: R.Alicki MSC: 47A40 46N99 81U10 47F05 PDFBibTeX XMLCite \textit{J. Dereziński}, Commun. Math. Phys. 122, No. 2, 203--231 (1989; Zbl 0677.47006) Full Text: DOI
Kitada, Hitoshi Fundamental solutions and eigenfunction expansions for Schrödinger operators. I: Fundamental solutions. (English) Zbl 0627.35073 Math. Z. 198, No. 2, 181-190 (1988). MSC: 35P10 35J10 45P05 PDFBibTeX XMLCite \textit{H. Kitada}, Math. Z. 198, No. 2, 181--190 (1988; Zbl 0627.35073) Full Text: DOI EuDML