Edit Profile (opens in new tab) Gérard, Christian Co-Author Distance Author ID: gerard.christian Published as: Gérard, Christian; Gérard, C.; Gerard, C. more...less Homepage: http://www.math.u-psud.fr/~gerard/ External Links: MGP · Wikidata · ResearchGate Videos: carmin.tv Documents Indexed: 107 Publications since 1983, including 6 Books and 6 Additional arXiv Preprints Co-Authors: 28 Co-Authors with 69 Joint Publications 519 Co-Co-Authors all top 5 Co-Authors 38 single-authored 13 Wrochna, Michał 9 Dereziński, Jan 7 Panati, Annalisa 6 Georgescu, Vladimir 6 Martinez, André 5 Hiroshima, Fumio 5 Suzuki, Akito 4 Häfner, Dietrich 4 Łaba, Izabella 4 Nier, Francis 3 Jäkel, Christian D. 3 Møller, Jacob Schach 3 Sjöstrand, Johannes 2 Dybalski, Wojciech 2 Isozaki, Hiroshi 2 Robert, Didier 2 Skibsted, Erik 2 Stoskopf, Théo 1 Bouvier, Patrick 1 Drago, Nicolò 1 Grigis, Alain 1 Knauf, Andreas 1 Murro, Simone 1 Oulghazi, Omar 1 Rasmussen, Morten Grud 1 Sasaki, Itaru 1 Sigal, Israel Michael 1 Tiedra de Aldecoa, Rafael all top 5 Serials 18 Communications in Mathematical Physics 8 Journal of Functional Analysis 7 Reviews in Mathematical Physics 6 Annales Henri Poincaré 5 Letters in Mathematical Physics 5 Séminaire Équations aux Dérivées Partielles 3 Communications in Partial Differential Equations 3 Comptes Rendus de l’Académie des Sciences. Série I 2 Journal of Mathematical Physics 2 Duke Mathematical Journal 2 Annales de l’Institut Henri Poincaré. Physique Théorique 2 Cambridge Monographs on Mathematical Physics 1 Helvetica Physica Acta 1 Revue Roumaine de Mathématiques Pures et Appliquées 1 American Journal of Mathematics 1 Annales de l’Institut Fourier 1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 1 Bulletin de la Société Mathématique de France 1 Inventiones Mathematicae 1 Journal of Differential Equations 1 Journal of Mathematics of Kyoto University 1 Journal of the Mathematical Society of Japan 1 IMRN. International Mathematics Research Notices 1 Mémoires de la Société Mathématique de France. Nouvelle Série 1 Interdisciplinary Information Sciences (IIS) 1 Journal of the European Mathematical Society (JEMS) 1 Mathematical Surveys and Monographs 1 RIMS Kôkyûroku Bessatsu 1 Analysis & PDE 1 Journal of Spectral Theory 1 Séminaire Laurent Schwartz. EDP et Applications 1 ESI Lectures in Mathematics and Physics 1 Texts and Monographs in Physics all top 5 Fields 83 Quantum theory (81-XX) 59 Partial differential equations (35-XX) 33 Operator theory (47-XX) 11 Relativity and gravitational theory (83-XX) 9 Global analysis, analysis on manifolds (58-XX) 5 Functional analysis (46-XX) 5 Differential geometry (53-XX) 4 Mechanics of particles and systems (70-XX) 3 Ordinary differential equations (34-XX) 3 Classical thermodynamics, heat transfer (80-XX) 3 Statistical mechanics, structure of matter (82-XX) 2 Dynamical systems and ergodic theory (37-XX) 1 Combinatorics (05-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Astronomy and astrophysics (85-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 81 Publications have been cited 1,485 times in 848 Documents Cited by ▼ Year ▼ Scattering theory of classical and quantum \(N\)-particle systems. Zbl 0899.47007 Dereziński, Jan; Gérard, Christian 146 1997 Asymptotic completeness in quantum field theory. Massive Pauli-Fierz Hamiltonians. Zbl 1044.81556 Dereziński, J.; Gérard, C. 108 1999 Mathematics of quantization and quantum fields. Zbl 1271.81004 Dereziński, Jan; Gérard, Christian 97 2013 On the existence of ground states for massless Pauli-Fierz Hamiltonians. Zbl 1004.81012 Gérard, C. 66 2000 On the virial theorem in quantum mechanics. Zbl 0961.81009 Georgescu, V.; Gérard, C. 55 1999 The Mourre theory for analytically fibered operators. Zbl 0939.47019 Gérard, Christian; Nier, Francis 51 1998 Semiclassical resonances generated by a closed trajectory of hyperbolic type. Zbl 0637.35027 Gérard, C.; Sjöstrand, J. 47 1987 Spectral theory of massless Pauli-Fierz models. Zbl 1091.81059 Georgescu, V.; Gérard, C.; Møller, J. S. 41 2004 Construction of Hadamard states by pseudo-differential calculus. Zbl 1298.81214 Gérard, C.; Wrochna, M. 40 2014 A proof of the abstract limiting absorption principle by energy estimates. Zbl 1141.47017 Gérard, Christian 37 2008 A mathematical approach to the effective Hamiltonian in perturbed periodic problems. Zbl 0753.35057 Gerard, C.; Martinez, A.; Sjöstrand, J. 35 1991 Commutators, \(C_{0}\)-semigroups and resolvent estimates. Zbl 1073.47518 Georgescu, V.; Gérard, C.; Møller, J. S. 35 2004 Principe d’absorption limite pour des opérateurs de Schrödinger à longue portée. (Limiting absorption principle for long range Schrödinger operators). Zbl 0672.35013 Gérard, Christian; Martinez, André 32 1988 Spectral and scattering theory of spatially cut-off \(P(\varphi)_2\) Hamiltonians. Zbl 1082.81518 Dereziński, J.; Gérard, C. 31 2000 Asymptotique des pôles de la matrice de scattering pour deux obstacles strictement convexes. (Asymptotics of the poles of the scattering matrix for two strictly convex obstacles). Zbl 0654.35081 Gérard, C. 30 1988 Precise estimates for tunneling and eigenvalues near a potential barrier. Zbl 0668.34022 Gerard, C.; Grigis, A. 28 1988 Hadamard states for the linearized Yang-Mills equation on curved spacetime. Zbl 1314.83025 Gérard, C.; Wrochna, M. 28 2015 Scattering theory of infrared divergent Pauli-Fierz Hamiltonians. Zbl 1060.81060 Dereziński, Jan; Gérard, Christian 27 2004 On the scattering theory of massless Nelson models. Zbl 1039.81053 Gérard, C. 24 2002 Multiparticle quantum scattering in constant magnetic fields. Zbl 1044.81123 Gérard, Christian; Łaba, Izabella 23 2002 Hadamard states for the Klein-Gordon equation on Lorentzian manifolds of bounded geometry. Zbl 1364.35362 Gérard, Christian; Oulghazi, Omar; Wrochna, Michał 23 2017 Scattering theory for the perturbations of periodic Schrödinger operators. Zbl 0934.35111 Gérard, Christian; Nier, Francis 22 1998 The massive Feynman propagator on asymptotically Minkowski spacetimes. Zbl 1450.83003 Gérard, Christian; Wrochna, Michał 19 2019 Breit-Wigner formulas for the scattering phase and the total scattering cross-section in the semi-classical limit. Zbl 0704.35114 Gérard, C.; Martinez, A.; Robert, D. 17 1989 \(N\)-body resolvent estimates. Zbl 0851.35101 Gérard, Christian; Isozaki, Hiroshi; Skibsted, Erik 17 1996 Microlocal analysis of quantum fields on curved spacetimes. Zbl 1444.35008 Gérard, Christian 17 2019 Asymptotic completeness for superradiant Klein-Gordon equations and applications to the de Sitter-Kerr metric. Zbl 1456.35122 Georgescu, Vladimir; Gérard, Christian; Häfner, Dietrich 17 2017 Construction of Hadamard states by characteristic Cauchy problem. Zbl 1334.83020 Gérard, Christian; Wrochna, Michał 17 2016 Asymptotic completeness for the spin-boson model with a particle number cutoff. Zbl 0858.47040 Gérard, C. 16 1996 Sharp propagation estimates for \(N\)-particle systems. Zbl 0760.35049 Gérard, C. 16 1992 Space-time picture of semiclassical resonances. Zbl 0755.35102 Gérard, C.; Sigal, I. M. 16 1992 Analytic Hadamard states, Calderón projectors and Wick rotation near analytic Cauchy surfaces. Zbl 1414.58002 Gérard, Christian; Wrochna, Michał 14 2019 Resonance theory for periodic Schrödinger operators. Zbl 0723.35059 Gérard, Christian 13 1990 Long-range scattering in the position representation. Zbl 0886.34072 Dereziński, J.; Gérard, C. 13 1997 Hadamard property of the in and out states for Klein-Gordon fields on asymptotically static spacetimes. Zbl 1373.81365 Gérard, Christian; Wrochna, Michał 13 2017 Commutator algebra and resolvent estimates. Zbl 0814.35086 Gérard, Christian; Isozaki, Hiroshi; Skibsted, Erik 12 1994 Prolongement méromorphe de la matrice de scattering pour des problèmes à deux corps à longue portée. (Meromorphic extension of the scattering matrix for long range two body problems). Zbl 0711.35097 Gérard, Christian; Martinez, André 11 1989 The massive Feynman propagator on asymptotically Minkowski spacetimes. II. Zbl 1459.81038 Gérard, Christian; Wrochna, Michał 11 2020 Boundary values of resolvents of selfadjoint operators in Krein spaces. Zbl 1310.47055 Georgescu, V.; Gérard, C.; Häfner, D. 11 2013 Resolvent and propagation estimates for Klein-Gordon equations with non-positive energy. Zbl 1326.35212 Georgescu, Vladimir; Gérard, Christian; Häfner, Dietrich 11 2015 Resonances en limite semiclassique et exposants de Lyapunov. (Resonances in semiclassical limit and Lyapunov exponents). Zbl 0698.35118 Gérard, C.; Sjöstrand, J. 10 1988 The Mourre estimate for regular dispersive systems. Zbl 0724.35083 Gérard, C. 10 1991 Semiclassical asymptotics for the spectral function of long-range Schrödinger operators. Zbl 0692.35069 Gerard, C.; Martinez, A. 9 1989 On the adiabatic limit of Hadamard states. Zbl 1374.81068 Drago, Nicolò; Gérard, Christian 9 2017 Resonance theory in atom-surface scattering. Zbl 0682.47003 Gerard, C. 8 1989 Asymptotic completeness for 3-particle long-range systems. Zbl 0812.70006 Gérard, C. 8 1993 Generalized definition of time delay in scattering theory. Zbl 1153.81365 Gérard, Christian; Tiedra de Aldecoa, Rafael 8 2007 Infrared problem for the Nelson model on static space-times. Zbl 1269.83036 Gérard, Christian; Hiroshima, Fumio; Panati, Annalisa; Suzuki, Akito 8 2011 A criterion for asymptotic completeness in local relativistic QFT. Zbl 1309.81125 Dybalski, Wojciech; Gérard, Christian 8 2014 Scattering theory for \(N\)-particle systems in constant magnetic fields. Zbl 0828.35098 Gérard, C.; Łaba, I. 7 1994 Infrared divergence of a scalar quantum field model on a pseudo Riemannian manifold. Zbl 1180.81098 Gérard, Christian; Hiroshima, Fumio; Panati, Annalisa; Suzuki, Akito 7 2009 Scattering theory for Klein-Gordon equations with non-positive energy. Zbl 1253.81049 Gérard, Christian 7 2012 Asymptotic completeness in quantum field theory: translation invariant Nelson type models restricted to the vacuum and one-particle sectors. Zbl 1209.81149 Gérard, Christian; Møller, Jacob Schach; Rasmussen, Morten Grud 7 2011 Removal of UV cutoff for the Nelson model with variable coefficients. Zbl 1257.81053 Gérard, Christian; Hiroshima, Fumio; Panati, Annalisa; Suzuki, Akito 6 2012 Absence of ground state for the Nelson model on static space-times. Zbl 1238.81161 Gérard, C.; Hiroshima, F.; Panati, A.; Suzuki, A. 6 2012 Hadamard states for quantized Dirac fields on Lorentzian manifolds of bounded geometry. Zbl 1490.81110 Gérard, Christian; Stoskopf, Théo 6 2022 Propagation de la polarisation pour des problèmes aux limites convexes pour les bicaractéristiques. (Propagation of the polarization for convex boundary value problems for the bicharacteristics). Zbl 0593.58037 Gerard, C. 5 1985 Collisions for the quantum Coulomb Hamiltonian. Zbl 0743.35054 Gérard, C.; Knauf, A. 5 1991 Semiclassical resolvent estimates for two and three-body Schrödinger operators. Zbl 0711.35095 Gérard, C. 4 1990 Spectral and scattering theory for some abstract QFT Hamiltonians. Zbl 1166.81326 Gérard, C.; Panati, A. 4 2009 Thermal quantum fields without cut-offs in \(1+1\) space-time dimensions. Zbl 1078.81055 Gérard, Christian; Jäkel, Christian D. 4 2005 A remark on asymptotic clustering for \(N\)-particle quantum systems. Zbl 0784.47055 Derezinski, J.; Gérard, C. 4 1992 Scattering theory for \(N\)-particle systems in constant magnetic fields. II: Long-range interactions. Zbl 0842.35069 Gérard, C.; Łaba, I. 4 1995 Distortion analyticity for \(N\)-particle Hamiltonians. Zbl 0826.35102 Gérard, C. 4 1993 Spectral and scattering theory for space-cutoff \(P(\varphi )_{2}\) models with variable metric. Zbl 1165.81033 Gérard, Christian; Panati, Annalisa 4 2008 Towards asymptotic completeness of two-particle scattering in local relativistic QFT. Zbl 1288.81067 Dybalski, Wojciech; Gérard, Christian 4 2014 Thermal quantum fields with spatially cutoff interactions in 1+1 space–time dimensions. Zbl 1071.81080 Gérard, Christian; Jäkel, Christian D. 4 2005 On the Hartle-Hawking-Israel states for spacetimes with static bifurcate Killing horizons. Zbl 1438.81021 Gérard, Christian 4 2019 Asymptotique des pôles de la matrice de scattering pour deux obstacles strictement convexes. (Asymptotic properties of poles of the scattering matrix for two strictly convex obstacles). Zbl 0622.35054 Gerard, C. 3 1986 Scattering theory for 3-particle systems in constant magnetic fields: dispersive case. Zbl 0853.35098 Gérard, Christian; Łaba, Izabella 3 1996 Positive energy quantization of linear dynamics. Zbl 1214.81279 Dereziński, Jan; Gérard, Christian 3 2010 The Unruh state for massless fermions on Kerr spacetime and its Hadamard property. Zbl 1528.83141 Gérard, Christian; Häfner, Dietrich; Wrochna, Michal 3 2023 Hawking effect for a toy model of interacting fermions. Zbl 1314.83028 Bouvier, Patrick; Gérard, Christian 2 2015 The Hartle-Hawking-Israel state on spacetimes with stationary bifurcate Killing horizons. Zbl 1483.81113 Gérard, Christian 2 2021 The Feynman problem for the Klein-Gordon equation. Zbl 1497.35531 Gérard, Christian; Wrochna, Michał 2 2020 An introduction to quantum field theory on curved spacetimes. Zbl 1416.83032 Gérard, Christian 2 2018 Réflexion du front d’onde polarisé des solutions de systèmes d’équations aux dérivées partielles. (Reflection of polarization set of solutions to systems of partial differential equations). Zbl 0555.35012 Gérard, Christian 1 1983 Semiclassical resolvent estimates for two and three-body Schrödinger operators. Zbl 0711.35096 Gérard, Christian 1 1989 Asymptotique semi-classique de la fonction spectrale pour des opérateurs de Schrödinger à longue portée. (Semiclassical asymptotics of the spectral function for long range Schrödinger operators). Zbl 0648.35061 Gérard, C.; Martinez, A. 1 1987 Hadamard states for linearized gravity on spacetimes with compact Cauchy surfaces. Zbl 07868804 Gérard, C. 1 2024 Hadamard property of the in and out states for Dirac fields on asymptotically static spacetimes. Zbl 1492.81075 Gérard, Christian; Stoskopf, Théo 1 2022 Hadamard states for linearized gravity on spacetimes with compact Cauchy surfaces. Zbl 07868804 Gérard, C. 1 2024 The Unruh state for massless fermions on Kerr spacetime and its Hadamard property. Zbl 1528.83141 Gérard, Christian; Häfner, Dietrich; Wrochna, Michal 3 2023 Hadamard states for quantized Dirac fields on Lorentzian manifolds of bounded geometry. Zbl 1490.81110 Gérard, Christian; Stoskopf, Théo 6 2022 Hadamard property of the in and out states for Dirac fields on asymptotically static spacetimes. Zbl 1492.81075 Gérard, Christian; Stoskopf, Théo 1 2022 The Hartle-Hawking-Israel state on spacetimes with stationary bifurcate Killing horizons. Zbl 1483.81113 Gérard, Christian 2 2021 The massive Feynman propagator on asymptotically Minkowski spacetimes. II. Zbl 1459.81038 Gérard, Christian; Wrochna, Michał 11 2020 The Feynman problem for the Klein-Gordon equation. Zbl 1497.35531 Gérard, Christian; Wrochna, Michał 2 2020 The massive Feynman propagator on asymptotically Minkowski spacetimes. Zbl 1450.83003 Gérard, Christian; Wrochna, Michał 19 2019 Microlocal analysis of quantum fields on curved spacetimes. Zbl 1444.35008 Gérard, Christian 17 2019 Analytic Hadamard states, Calderón projectors and Wick rotation near analytic Cauchy surfaces. Zbl 1414.58002 Gérard, Christian; Wrochna, Michał 14 2019 On the Hartle-Hawking-Israel states for spacetimes with static bifurcate Killing horizons. Zbl 1438.81021 Gérard, Christian 4 2019 An introduction to quantum field theory on curved spacetimes. Zbl 1416.83032 Gérard, Christian 2 2018 Hadamard states for the Klein-Gordon equation on Lorentzian manifolds of bounded geometry. Zbl 1364.35362 Gérard, Christian; Oulghazi, Omar; Wrochna, Michał 23 2017 Asymptotic completeness for superradiant Klein-Gordon equations and applications to the de Sitter-Kerr metric. Zbl 1456.35122 Georgescu, Vladimir; Gérard, Christian; Häfner, Dietrich 17 2017 Hadamard property of the in and out states for Klein-Gordon fields on asymptotically static spacetimes. Zbl 1373.81365 Gérard, Christian; Wrochna, Michał 13 2017 On the adiabatic limit of Hadamard states. Zbl 1374.81068 Drago, Nicolò; Gérard, Christian 9 2017 Construction of Hadamard states by characteristic Cauchy problem. Zbl 1334.83020 Gérard, Christian; Wrochna, Michał 17 2016 Hadamard states for the linearized Yang-Mills equation on curved spacetime. Zbl 1314.83025 Gérard, C.; Wrochna, M. 28 2015 Resolvent and propagation estimates for Klein-Gordon equations with non-positive energy. Zbl 1326.35212 Georgescu, Vladimir; Gérard, Christian; Häfner, Dietrich 11 2015 Hawking effect for a toy model of interacting fermions. Zbl 1314.83028 Bouvier, Patrick; Gérard, Christian 2 2015 Construction of Hadamard states by pseudo-differential calculus. Zbl 1298.81214 Gérard, C.; Wrochna, M. 40 2014 A criterion for asymptotic completeness in local relativistic QFT. Zbl 1309.81125 Dybalski, Wojciech; Gérard, Christian 8 2014 Towards asymptotic completeness of two-particle scattering in local relativistic QFT. Zbl 1288.81067 Dybalski, Wojciech; Gérard, Christian 4 2014 Mathematics of quantization and quantum fields. Zbl 1271.81004 Dereziński, Jan; Gérard, Christian 97 2013 Boundary values of resolvents of selfadjoint operators in Krein spaces. Zbl 1310.47055 Georgescu, V.; Gérard, C.; Häfner, D. 11 2013 Scattering theory for Klein-Gordon equations with non-positive energy. Zbl 1253.81049 Gérard, Christian 7 2012 Removal of UV cutoff for the Nelson model with variable coefficients. Zbl 1257.81053 Gérard, Christian; Hiroshima, Fumio; Panati, Annalisa; Suzuki, Akito 6 2012 Absence of ground state for the Nelson model on static space-times. Zbl 1238.81161 Gérard, C.; Hiroshima, F.; Panati, A.; Suzuki, A. 6 2012 Infrared problem for the Nelson model on static space-times. Zbl 1269.83036 Gérard, Christian; Hiroshima, Fumio; Panati, Annalisa; Suzuki, Akito 8 2011 Asymptotic completeness in quantum field theory: translation invariant Nelson type models restricted to the vacuum and one-particle sectors. Zbl 1209.81149 Gérard, Christian; Møller, Jacob Schach; Rasmussen, Morten Grud 7 2011 Positive energy quantization of linear dynamics. Zbl 1214.81279 Dereziński, Jan; Gérard, Christian 3 2010 Infrared divergence of a scalar quantum field model on a pseudo Riemannian manifold. Zbl 1180.81098 Gérard, Christian; Hiroshima, Fumio; Panati, Annalisa; Suzuki, Akito 7 2009 Spectral and scattering theory for some abstract QFT Hamiltonians. Zbl 1166.81326 Gérard, C.; Panati, A. 4 2009 A proof of the abstract limiting absorption principle by energy estimates. Zbl 1141.47017 Gérard, Christian 37 2008 Spectral and scattering theory for space-cutoff \(P(\varphi )_{2}\) models with variable metric. Zbl 1165.81033 Gérard, Christian; Panati, Annalisa 4 2008 Generalized definition of time delay in scattering theory. Zbl 1153.81365 Gérard, Christian; Tiedra de Aldecoa, Rafael 8 2007 Thermal quantum fields without cut-offs in \(1+1\) space-time dimensions. Zbl 1078.81055 Gérard, Christian; Jäkel, Christian D. 4 2005 Thermal quantum fields with spatially cutoff interactions in 1+1 space–time dimensions. Zbl 1071.81080 Gérard, Christian; Jäkel, Christian D. 4 2005 Spectral theory of massless Pauli-Fierz models. Zbl 1091.81059 Georgescu, V.; Gérard, C.; Møller, J. S. 41 2004 Commutators, \(C_{0}\)-semigroups and resolvent estimates. Zbl 1073.47518 Georgescu, V.; Gérard, C.; Møller, J. S. 35 2004 Scattering theory of infrared divergent Pauli-Fierz Hamiltonians. Zbl 1060.81060 Dereziński, Jan; Gérard, Christian 27 2004 On the scattering theory of massless Nelson models. Zbl 1039.81053 Gérard, C. 24 2002 Multiparticle quantum scattering in constant magnetic fields. Zbl 1044.81123 Gérard, Christian; Łaba, Izabella 23 2002 On the existence of ground states for massless Pauli-Fierz Hamiltonians. Zbl 1004.81012 Gérard, C. 66 2000 Spectral and scattering theory of spatially cut-off \(P(\varphi)_2\) Hamiltonians. Zbl 1082.81518 Dereziński, J.; Gérard, C. 31 2000 Asymptotic completeness in quantum field theory. Massive Pauli-Fierz Hamiltonians. Zbl 1044.81556 Dereziński, J.; Gérard, C. 108 1999 On the virial theorem in quantum mechanics. Zbl 0961.81009 Georgescu, V.; Gérard, C. 55 1999 The Mourre theory for analytically fibered operators. Zbl 0939.47019 Gérard, Christian; Nier, Francis 51 1998 Scattering theory for the perturbations of periodic Schrödinger operators. Zbl 0934.35111 Gérard, Christian; Nier, Francis 22 1998 Scattering theory of classical and quantum \(N\)-particle systems. Zbl 0899.47007 Dereziński, Jan; Gérard, Christian 146 1997 Long-range scattering in the position representation. Zbl 0886.34072 Dereziński, J.; Gérard, C. 13 1997 \(N\)-body resolvent estimates. Zbl 0851.35101 Gérard, Christian; Isozaki, Hiroshi; Skibsted, Erik 17 1996 Asymptotic completeness for the spin-boson model with a particle number cutoff. Zbl 0858.47040 Gérard, C. 16 1996 Scattering theory for 3-particle systems in constant magnetic fields: dispersive case. Zbl 0853.35098 Gérard, Christian; Łaba, Izabella 3 1996 Scattering theory for \(N\)-particle systems in constant magnetic fields. II: Long-range interactions. Zbl 0842.35069 Gérard, C.; Łaba, I. 4 1995 Commutator algebra and resolvent estimates. Zbl 0814.35086 Gérard, Christian; Isozaki, Hiroshi; Skibsted, Erik 12 1994 Scattering theory for \(N\)-particle systems in constant magnetic fields. Zbl 0828.35098 Gérard, C.; Łaba, I. 7 1994 Asymptotic completeness for 3-particle long-range systems. Zbl 0812.70006 Gérard, C. 8 1993 Distortion analyticity for \(N\)-particle Hamiltonians. Zbl 0826.35102 Gérard, C. 4 1993 Sharp propagation estimates for \(N\)-particle systems. Zbl 0760.35049 Gérard, C. 16 1992 Space-time picture of semiclassical resonances. Zbl 0755.35102 Gérard, C.; Sigal, I. M. 16 1992 A remark on asymptotic clustering for \(N\)-particle quantum systems. Zbl 0784.47055 Derezinski, J.; Gérard, C. 4 1992 A mathematical approach to the effective Hamiltonian in perturbed periodic problems. Zbl 0753.35057 Gerard, C.; Martinez, A.; Sjöstrand, J. 35 1991 The Mourre estimate for regular dispersive systems. Zbl 0724.35083 Gérard, C. 10 1991 Collisions for the quantum Coulomb Hamiltonian. Zbl 0743.35054 Gérard, C.; Knauf, A. 5 1991 Resonance theory for periodic Schrödinger operators. Zbl 0723.35059 Gérard, Christian 13 1990 Semiclassical resolvent estimates for two and three-body Schrödinger operators. Zbl 0711.35095 Gérard, C. 4 1990 Breit-Wigner formulas for the scattering phase and the total scattering cross-section in the semi-classical limit. Zbl 0704.35114 Gérard, C.; Martinez, A.; Robert, D. 17 1989 Prolongement méromorphe de la matrice de scattering pour des problèmes à deux corps à longue portée. (Meromorphic extension of the scattering matrix for long range two body problems). Zbl 0711.35097 Gérard, Christian; Martinez, André 11 1989 Semiclassical asymptotics for the spectral function of long-range Schrödinger operators. Zbl 0692.35069 Gerard, C.; Martinez, A. 9 1989 Resonance theory in atom-surface scattering. Zbl 0682.47003 Gerard, C. 8 1989 Semiclassical resolvent estimates for two and three-body Schrödinger operators. Zbl 0711.35096 Gérard, Christian 1 1989 Principe d’absorption limite pour des opérateurs de Schrödinger à longue portée. (Limiting absorption principle for long range Schrödinger operators). Zbl 0672.35013 Gérard, Christian; Martinez, André 32 1988 Asymptotique des pôles de la matrice de scattering pour deux obstacles strictement convexes. (Asymptotics of the poles of the scattering matrix for two strictly convex obstacles). Zbl 0654.35081 Gérard, C. 30 1988 Precise estimates for tunneling and eigenvalues near a potential barrier. Zbl 0668.34022 Gerard, C.; Grigis, A. 28 1988 Resonances en limite semiclassique et exposants de Lyapunov. (Resonances in semiclassical limit and Lyapunov exponents). Zbl 0698.35118 Gérard, C.; Sjöstrand, J. 10 1988 Semiclassical resonances generated by a closed trajectory of hyperbolic type. Zbl 0637.35027 Gérard, C.; Sjöstrand, J. 47 1987 Asymptotique semi-classique de la fonction spectrale pour des opérateurs de Schrödinger à longue portée. (Semiclassical asymptotics of the spectral function for long range Schrödinger operators). Zbl 0648.35061 Gérard, C.; Martinez, A. 1 1987 Asymptotique des pôles de la matrice de scattering pour deux obstacles strictement convexes. (Asymptotic properties of poles of the scattering matrix for two strictly convex obstacles). Zbl 0622.35054 Gerard, C. 3 1986 Propagation de la polarisation pour des problèmes aux limites convexes pour les bicaractéristiques. (Propagation of the polarization for convex boundary value problems for the bicharacteristics). Zbl 0593.58037 Gerard, C. 5 1985 Réflexion du front d’onde polarisé des solutions de systèmes d’équations aux dérivées partielles. (Reflection of polarization set of solutions to systems of partial differential equations). Zbl 0555.35012 Gérard, Christian 1 1983 all cited Publications top 5 cited Publications all top 5 Cited by 650 Authors 46 Gérard, Christian 20 Dybalski, Wojciech 20 Wrochna, Michał 19 Dereziński, Jan 19 Faupin, Jérémy 18 Vasy, András 17 Hiroshima, Fumio 17 Sigal, Israel Michael 16 Bony, Jean-François 16 Møller, Jacob Schach 15 Häfner, Dietrich 15 Skibsted, Erik 14 Fröhlich, Jürg Martin 13 Adachi, Tadayoshi 13 Fujiié, Setsuro 13 Soffer, Avraham 12 Amour, Laurent 12 Dimassi, Mouez 12 Guillot, Jean-Claude 12 Murro, Simone 12 Tiedra de Aldecoa, Rafael 11 Georgescu, Vladimir 11 Martinez, André 11 Ramond, Thierry 11 Richard, Serge 11 Sjöstrand, Johannes 10 Falconi, Marco 9 Bruneau, Vincent 9 Burq, Nicolas 9 Drago, Nicolò 9 Golénia, Sylvain 9 Griesemer, Marcel 9 Lewin, Mathieu 9 Nier, Francis 9 Nourrigat, Jean Francois 9 Zworski, Maciej 8 Carles, Rémi 8 Dappiaggi, Claudio 8 Hasler, David G. 8 Zerzeri, Maher 7 Arai, Asao 7 Klein, Markus 7 Nakamura, Shu 7 Nistor, Victor 7 Petkov, Vesselin M. 7 Pizzo, Alessandro 7 Robert, Didier 7 Takaesu, Toshimitsu 6 Deckert, Dirk-André 6 Drouot, Alexis 6 Fournais, Søren 6 Herbst, Ira W. 6 Hirokawa, Masao 6 Isozaki, Hiroshi 6 Lörinczi, József 6 Niikuni, Hiroaki 6 Panati, Annalisa 6 Rougerie, Nicolas 6 Schlein, Benjamin 5 Ammari, Zied 5 Ballesteros, Miguel 5 Barbaroux, Jean-Marie 5 Cornean, Horia D. 5 De Roeck, Wojciech 5 Grébert, Benoît 5 Hassell, Andrew 5 Hinrichs, Benjamin 5 Knauf, Andreas 5 Kuchment, Peter A. 5 Michel, Laurent 5 Nonnenmacher, Stéphane 5 Phan Thành Nam 5 Popoff, Nicolas 5 Raikov, Georgi D. 5 Sasaki, Itaru 5 Siemssen, Daniel 5 Suzuki, Akito 5 Taira, Kouichi 5 Tamura, Hideo 4 Bach, Volker 4 Bouclet, Jean-Marc 4 Bourget, Olivier 4 Dam, Thomas Norman 4 Dyatlov, Semyon 4 Ito, Kenichi 4 Jäkel, Christian D. 4 Kawamoto, Masaki 4 Mandich, Marc-Adrien 4 Moretti, Valter 4 Pillet, Claude-Alain 4 Purice, Radu 4 Rosenberger, Elke 4 Rouleux, Michel 4 Royer, Julien 4 Soccorsi, Eric 4 Spohn, Herbert 4 Stefanov, Plamen D. 4 Strohmaier, Alexander 4 Vodev, Georgi 4 Wang, Xueping ...and 550 more Authors all top 5 Cited in 137 Serials 84 Communications in Mathematical Physics 82 Annales Henri Poincaré 78 Journal of Mathematical Physics 72 Journal of Functional Analysis 54 Reviews in Mathematical Physics 26 Letters in Mathematical Physics 26 Communications in Partial Differential Equations 21 Annales de l’Institut Henri Poincaré. Physique Théorique 18 Journal of Mathematical Analysis and Applications 17 Duke Mathematical Journal 17 Comptes Rendus. Mathématique. Académie des Sciences, Paris 15 Advances in Mathematics 13 Annales de l’Institut Fourier 11 Journal of Differential Equations 10 Pure and Applied Analysis 8 Reports on Mathematical Physics 8 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 8 Transactions of the American Mathematical Society 8 Journal of Spectral Theory 7 Journal of Statistical Physics 7 Bulletin de la Société Mathématique de France 7 Journal of the European Mathematical Society (JEMS) 6 Inventiones Mathematicae 6 Publications of the Research Institute for Mathematical Sciences, Kyoto University 6 Journal de Mathématiques Pures et Appliquées. Neuvième Série 6 SIAM Journal on Mathematical Analysis 6 Mathematical Physics, Analysis and Geometry 5 Archive for Rational Mechanics and Analysis 5 Integral Equations and Operator Theory 5 Mathematische Nachrichten 5 Mathematische Zeitschrift 5 Documenta Mathematica 5 Journal of Physics A: Mathematical and Theoretical 4 Classical and Quantum Gravity 4 Memoirs of the American Mathematical Society 4 Mémoires de la Société Mathématique de France. Nouvelle Série 4 Infinite Dimensional Analysis, Quantum Probability and Related Topics 4 Regular and Chaotic Dynamics 4 Analysis and Mathematical Physics 3 Nuclear Physics. B 3 Acta Mathematica 3 Journal of the London Mathematical Society. Second Series 3 Annals of Global Analysis and Geometry 3 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 3 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 3 St. Petersburg Mathematical Journal 3 Journal of Hyperbolic Differential Equations 3 Analysis & PDE 3 Bulletin of Mathematical Sciences 3 Séminaire Laurent Schwartz. EDP et Applications 3 Annales Henri Lebesgue 2 Communications on Pure and Applied Mathematics 2 Journal d’Analyse Mathématique 2 Journal of Computational Physics 2 ZAMP. Zeitschrift für angewandte Mathematik und Physik 2 Arkiv för Matematik 2 Journal of the Mathematical Society of Japan 2 Nagoya Mathematical Journal 2 Tokyo Journal of Mathematics 2 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 2 Journal of the American Mathematical Society 2 Asymptotic Analysis 2 Sugaku Expositions 2 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 2 The Journal of Geometric Analysis 2 Annals of Physics 2 Quantum Information Processing 2 Journal of the Institute of Mathematics of Jussieu 2 Complex Analysis and Operator Theory 2 Advances in Mathematical Physics 2 Kyoto Journal of Mathematics 2 Journal de l’École Polytechnique – Mathématiques 2 Tunisian Journal of Mathematics 1 General Relativity and Gravitation 1 International Journal of Theoretical Physics 1 Mathematical Methods in the Applied Sciences 1 Mathematical Notes 1 Nonlinearity 1 Physics Letters. A 1 Physics Reports 1 Theoretical and Mathematical Physics 1 Wave Motion 1 Journal of Geometry and Physics 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Hiroshima Mathematical Journal 1 Hokkaido Mathematical Journal 1 Journal of Approximation Theory 1 Journal für die Reine und Angewandte Mathematik 1 Numerical Functional Analysis and Optimization 1 Osaka Journal of Mathematics 1 Proceedings of the American Mathematical Society 1 Proceedings of the Japan Academy. Series A 1 Quarterly of Applied Mathematics 1 Semigroup Forum 1 Annales de la Faculté des Sciences de Toulouse. Série V. Mathématiques 1 European Journal of Combinatorics 1 Advances in Applied Mathematics 1 Ergodic Theory and Dynamical Systems 1 Rendiconti di Matematica e delle sue Applicazioni. Serie VII 1 Physica D ...and 37 more Serials all top 5 Cited in 51 Fields 610 Quantum theory (81-XX) 460 Partial differential equations (35-XX) 239 Operator theory (47-XX) 89 Global analysis, analysis on manifolds (58-XX) 80 Statistical mechanics, structure of matter (82-XX) 67 Functional analysis (46-XX) 63 Relativity and gravitational theory (83-XX) 41 Ordinary differential equations (34-XX) 32 Differential geometry (53-XX) 31 Dynamical systems and ergodic theory (37-XX) 30 Mechanics of particles and systems (70-XX) 28 Optics, electromagnetic theory (78-XX) 19 Probability theory and stochastic processes (60-XX) 11 Functions of a complex variable (30-XX) 10 Difference and functional equations (39-XX) 10 Harmonic analysis on Euclidean spaces (42-XX) 9 Combinatorics (05-XX) 8 Topological groups, Lie groups (22-XX) 8 Mechanics of deformable solids (74-XX) 6 Measure and integration (28-XX) 6 Numerical analysis (65-XX) 5 Classical thermodynamics, heat transfer (80-XX) 4 Several complex variables and analytic spaces (32-XX) 4 Fluid mechanics (76-XX) 4 Information and communication theory, circuits (94-XX) 3 History and biography (01-XX) 3 Algebraic geometry (14-XX) 3 Real functions (26-XX) 3 Special functions (33-XX) 3 Approximations and expansions (41-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 3 Statistics (62-XX) 3 Systems theory; control (93-XX) 2 Number theory (11-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 \(K\)-theory (19-XX) 2 Group theory and generalizations (20-XX) 2 Abstract harmonic analysis (43-XX) 2 Geometry (51-XX) 2 Astronomy and astrophysics (85-XX) 1 General and overarching topics; collections (00-XX) 1 Commutative algebra (13-XX) 1 Associative rings and algebras (16-XX) 1 Nonassociative rings and algebras (17-XX) 1 Sequences, series, summability (40-XX) 1 Integral transforms, operational calculus (44-XX) 1 Convex and discrete geometry (52-XX) 1 General topology (54-XX) 1 Algebraic topology (55-XX) 1 Manifolds and cell complexes (57-XX) 1 Biology and other natural sciences (92-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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