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
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
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
Gérard, C.; Panati, A. Spectral and scattering theory for some abstract QFT Hamiltonians. (English) Zbl 1166.81326 Rev. Math. Phys. 21, No. 3, 373-437 (2009). MSC: 81Q10 81T08 47N50 81-02 81U05 81T10 PDFBibTeX XMLCite \textit{C. Gérard} and \textit{A. Panati}, Rev. Math. Phys. 21, No. 3, 373--437 (2009; Zbl 1166.81326) Full Text: DOI arXiv
Gérard, Christian A proof of the abstract limiting absorption principle by energy estimates. (English) Zbl 1141.47017 J. Funct. Anal. 254, No. 11, 2707-2724 (2008). Reviewer: Petru A. Cojuhari (Kraków) MSC: 47B25 47N50 47A40 81U05 PDFBibTeX XMLCite \textit{C. Gérard}, J. Funct. Anal. 254, No. 11, 2707--2724 (2008; Zbl 1141.47017) Full Text: DOI
Georgescu, V.; Gérard, C.; Møller, J. S. Spectral theory of massless Pauli-Fierz models. (English) Zbl 1091.81059 Commun. Math. Phys. 249, No. 1, 29-78 (2004). MSC: 81T10 47N50 81Q10 PDFBibTeX XMLCite \textit{V. Georgescu} et al., Commun. Math. Phys. 249, No. 1, 29--78 (2004; Zbl 1091.81059) Full Text: DOI
Georgescu, V.; Gérard, C.; Møller, J. S. Commutators, \(C_{0}\)-semigroups and resolvent estimates. (English) Zbl 1073.47518 J. Funct. Anal. 216, No. 2, 303-361 (2004). Reviewer: Vassilis G. Papanicolaou (Athena) MSC: 47D06 47N50 81Q10 47B47 35P10 35P25 PDFBibTeX XMLCite \textit{V. Georgescu} et al., J. Funct. Anal. 216, No. 2, 303--361 (2004; Zbl 1073.47518) Full Text: DOI
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
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
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
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
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
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
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
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
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