Edit Profile (opens in new tab) Martinez, André Compute Distance To: Compute Author ID: martinez.andre Published as: Martinez, André; Martinez, A.; Martinez, Andre Homepage: https://www.unibo.it/sitoweb/andre.martinez/ External Links: MGP · ResearchGate Documents Indexed: 91 Publications since 1983, including 2 Books 1 Contribution as Editor Reviewing Activity: 101 Reviews Co-Authors: 30 Co-Authors with 62 Joint Publications 580 Co-Co-Authors all top 5 Co-Authors 22 single-authored 14 Sordoni, Vania 9 Nakamura, Shu 8 Grecchi, Vincenzo 7 Fujiié, Setsuro 6 Gérard, Christian 5 Watanabe, Takuya 4 Benbernou, Amina Lahmar 4 Grigis, Alain 4 Hislop, Peter D. 4 Sacchetti, Andrea 3 Briet, Philippe 3 Brown, Russell Murray 3 Graffi, Sandro 3 Klein, Markus 3 Wang, Xue Ping 2 De Marchi, Stefano 2 Duyckaerts, Thomas 2 Helffer, Bernard 2 Maioli, Marco 2 Nedelec, Laurence 2 Perracchione, Emma 2 Ramond, Thierry 2 Robert, Didier 2 Sjöstrand, Johannes 1 Abbes, Dhaker 1 Barceló, Carlos 1 Benchaou, Mohammed 1 Cancelier, Claudy 1 Carloni, Sante 1 Champenois, Gérard 1 Dalla Venezia, Marzia 1 García-Meca, Carlos 1 Jannes, Gil 1 Kovařík, Hynek 1 Messirdi, Bekkai 1 Nenciu, Gheorghe 1 Pulvirenti, Mario 1 Rouleux, Michel 1 Seiler, Ruedi 1 Yajima, Kenji all top 5 Serials 10 Communications in Mathematical Physics 5 Journal of Differential Equations 5 Asymptotic Analysis 4 Journal of Mathematical Physics 4 Journal of Functional Analysis 4 Comptes Rendus de l’Académie des Sciences. Série I 4 Annales Henri Poincaré 3 Communications in Partial Differential Equations 3 Annales de l’Institut Henri Poincaré. Physique Théorique 3 Comptes Rendus. Mathématique. Académie des Sciences, Paris 3 Journal of Spectral Theory 2 Duke Mathematical Journal 2 Journal of the Mathematical Society of Japan 2 Séminaire Équations aux Dérivées Partielles 2 Journal of Physics A: Mathematical and Theoretical 2 RIMS Kôkyûroku Bessatsu 2 Analysis & PDE 1 Communications on Pure and Applied Mathematics 1 Wave Motion 1 Reviews in Mathematical Physics 1 Advances in Mathematics 1 Annales de l’Institut Fourier 1 Bulletin de la Société Mathématique de France 1 Indiana University Mathematics Journal 1 Journal of Computational and Applied Mathematics 1 Mathematics and Computers in Simulation 1 Mathematische Nachrichten 1 Memoirs of the American Mathematical Society 1 Journal of Scientific Computing 1 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 1 IMRN. International Mathematics Research Notices 1 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Journal of Physics A: Mathematical and General 1 Journées Équations aux Dérivées Partielles (Saint-Jean-de-Monts) 1 Series on Concrete and Applicable Mathematics 1 Universitext all top 5 Fields 76 Partial differential equations (35-XX) 54 Quantum theory (81-XX) 18 Operator theory (47-XX) 4 Global analysis, analysis on manifolds (58-XX) 4 Statistical mechanics, structure of matter (82-XX) 3 Numerical analysis (65-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Approximations and expansions (41-XX) 2 Fluid mechanics (76-XX) 1 General and overarching topics; collections (00-XX) 1 Integral equations (45-XX) 1 Differential geometry (53-XX) 1 Probability theory and stochastic processes (60-XX) 1 Mechanics of particles and systems (70-XX) 1 Operations research, mathematical programming (90-XX) 1 Systems theory; control (93-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 74 Publications have been cited 841 times in 522 Documents Cited by ▼ Year ▼ An introduction to semiclassical and microlocal analysis. Zbl 0994.35003Martinez, André 174 2002 Ergodicité et limite semi-classique. (Ergodicity and semi-classical limit). Zbl 0624.58039Helffer, B.; Martinez, A.; Robert, D. 62 1987 On the Born-Oppenheimer expansion for polyatomic molecules. Zbl 0754.35099Klein, M.; Martinez, A.; Seiler, R.; Wang, X. P. 54 1992 A mathematical approach to the effective Hamiltonian in perturbed periodic problems. Zbl 0753.35057Gerard, C.; Martinez, A.; Sjöstrand, J. 28 1991 Principe d’absorption limite pour des opérateurs de Schrödinger à longue portée. (Limiting absorption principle for long range Schrödinger operators). Zbl 0672.35013Gérard, Christian; Martinez, André 27 1988 Resonance free domains for non globally analytic potentials. Zbl 1026.81012Martinez, A. 26 2002 Mean-field approximation of quantum systems and classical limit. Zbl 1049.81022Graffi, S.; Martinez, A.; Pulvirenti, M. 25 2003 Estimates on complex interactions in phase space. Zbl 0836.35135Martinez, André 20 1994 Scattering resonances of a Helmholtz resonator. Zbl 0737.35052Hislop, Peter D.; Martinez, André 20 1991 Precise exponential estimates in adiabatic theory. Zbl 0808.47053Martinez, André 19 1994 Breit-Wigner formulas for the scattering phase and the total scattering cross-section in the semi-classical limit. Zbl 0704.35114Gérard, C.; Martinez, A.; Robert, D. 17 1989 Twisted pseudodifferential calculus and application to the quantum evolution of molecules. Zbl 1179.35357Martinez, André; Sordoni, Vania 17 2009 A general reduction scheme for the time-dependent Born-Oppenheimer approximation. Zbl 1079.81524Martinez, André; Sordoni, Vania 17 2002 Estimations de l’effet tunnel pour le double puits. II: États hautement excités. (Estimates of the tunnel effect for double wells. II: Highly excited states). Zbl 0666.35069Martinez, André 15 1988 Dévelopements asymptotiques et effet tunnel dans l’approximation de Born-Oppenheimer. (Asymptotic expansions and tunnel effect in Born- Oppenheimer approximation). Zbl 0689.35063Martinez, A. 15 1989 Width of shape resonances for non globally analytic potentials. Zbl 1210.81037Fujiié, Setsuro; Lahmar-Benbernou, Amina; Martinez, André 15 2011 Effet tunnel entre puits dégénérés. (Tunnel effect between degenerate wells). Zbl 0649.35073Martinez, André; Rouleux, Michel 14 1988 Résonances dans l’approximation de Born-Oppenheimer. I. (Resonances in Born-Oppenheimer approximation. I). Zbl 0737.35046Martinez, André 14 1991 On the Born-Oppenheimer approximation of wave operators in molecular scattering theory. Zbl 0778.35088Klein, M.; Martinez, A.; Wang, X. P. 14 1993 Analytic smoothing effect for the Schrödinger equation with long-range perturbation. Zbl 1122.35027Martinez, Andre; Nakamura, Shu; Sordoni, Vania 14 2006 Resonances in Born-Oppenheimer approximation. II: Length of resonances. (Résonances dans l’approximation de Born-Oppenheimer. II: Largeur des resonances.) Zbl 0737.35047Martinez, André 12 1991 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 0711.35097Gérard, Christian; Martinez, André 11 1989 Analytic wave front set for solutions to Schrödinger equations. Zbl 1180.35016Martinez, André; Nakamura, Shu; Sordoni, Vania 11 2009 Eigenvalues and resonances for domains with tubes: Neumann boundary conditions. Zbl 0815.35075Brown, Russell; Hislop, P. D.; Martinez, A. 11 1995 Resonances of diatomic molecules in the Born-Oppenheimer approximation. Zbl 0826.35148Martinez, André; Messirdi, Bekkai 11 1994 Semiclassical asymptotics for the spectral function of long-range Schrödinger operators. Zbl 0692.35069Gerard, C.; Martinez, A. 9 1989 Destruction of the beating effect for a nonlinear Schrödinger equation. Zbl 1001.81011Grecchi, Vincenzo; Martinez, André; Sacchetti, Andrea 9 2002 RBF-based partition of unity methods for elliptic PDEs: adaptivity and stability issues via variably scaled kernels. Zbl 1415.65026De Marchi, S.; Martínez, A.; Perracchione, E.; Rossini, M. 8 2019 Estimations de l’effet tunnel pour le double puits. (Estmates of tunneling for the double wells). Zbl 0564.35028Martinez, André 7 1987 Fast and stable rational RBF-based partition of unity interpolation. Zbl 07006433De Marchi, S.; Martínez, A.; Perracchione, E. 7 2019 Lower bounds on the interaction between cavities connected by a thin tube. Zbl 0802.35109Brown, Russell M.; Hislop, P. D.; Martinez, A. 7 1994 Microlocal WKB expansions. Zbl 0941.35136Martinez, André; Sordoni, Vania 6 1999 On the Born-Oppenheimer approximation of diatomic wave operators. II: Singular potentials. Zbl 0874.35103Klein, Markus; Martinez, André; Wang, Xue Ping 6 1997 A general effective Hamiltonian method. Zbl 1139.35383Martinez, André 6 2007 Padé summability of the cubic oscillator. Zbl 1179.81073Grecchi, Vincenzo; Maioli, Marco; Martinez, André 6 2009 Resonances for nonanalytic potentials. Zbl 1203.35033Martinez, André; Ramond, Thierry; Sjöstrand, Johannes 6 2009 Molecular predissociation resonances near an energy-level crossing. I: Elliptic interaction. Zbl 1347.35187Fujiié, S.; Martinez, A.; Watanabe, T. 6 2016 Nonlinear Stark effect and molecular localization. Zbl 0813.35094Grecchi, Vincenzo; Martinez, André 5 1995 Phase space tunneling in multistate scattering. Zbl 1002.35105Martinez, André; Nakamura, Shu; Sordoni, Vania 5 2002 Resonance widths for the molecular predissociation. Zbl 1322.35102Grigis, Alain; Martinez, André 5 2014 On the fundamental solution of semiclassical Schrödinger equations at resonant times. Zbl 1007.81033Martinez, André; Yajima, Kenji 5 2001 Microlocal exponential estimates and applications to tunneling. Zbl 0890.35120Martinez, A. 5 1997 The spectrum of the cubic oscillator. Zbl 1268.81073Grecchi, Vincenzo; Martinez, André 5 2013 Semiclassical asymptotics of the residues of the scattering matrix for shape resonances. Zbl 0931.35119Lahmar-Benbernou, Amina; Martinez, André 4 1999 Quantum resonances without analyticity. Zbl 1095.35015Cancelier, Claudy; Martinez, André; Ramond, Thierry 4 2005 Molecular predissociation resonances near an energy-level crossing. II: Vector field interaction. Zbl 1386.35296Fujiié, S.; Martinez, A.; Watanabe, T. 4 2017 Widths of resonances above an energy-level crossing. Zbl 1472.35253Fujiié, S.; Martinez, A.; Watanabe, T. 4 2021 Estimations de l’effet tunnel pour le double-puits. (Estimates of the tunnel effect for double wells). Zbl 0613.35022Martinez, A. 3 1986 Exponential estimates in diffusion theory for matrix Schrödinger operators. (Estimations exponentielles en théorie de la diffusion pour des opérateurs de Schrödinger matriciels.) Zbl 1024.81051Benchaou, Mohammed; Martinez, André 3 1999 On Helffer-Sjöstrand’s theorem fo resonances. Zbl 1027.35171Lahmar-Benbernou, Amina; Martinez, André 3 2002 Erratum to: “Resonance free domains for non globally analytic potentials”. Zbl 1417.81131Martinez, André 3 2007 Resonance widths for general Helmholtz resonators with straight neck. Zbl 1366.81167Duyckaerts, Thomas; Grigis, Alain; Martinez, André 3 2016 Estimates on the molecular dynamics for the predissociation process. Zbl 1371.35179Briet, Philippe; Martinez, André 3 2017 Développements asymptotiques dans l’approximation de Born-Oppenheimer. (Asymptotic expansions in the Born-Oppenheimer approximation). Zbl 0699.35209Martinez, André 2 1988 On adiabatic reduction theory. Zbl 0897.47036Martinez, A.; Nenciu, G. 2 1995 Resonance widths in a case of multidimensional phase space tunneling. Zbl 1309.35096Grigis, Alain; Martinez, André 2 2015 Lower bounds on eigenfunctions and the first eigenvalue gap. Zbl 0796.35124Brown, R. M.; Hislop, P. D.; Martinez, A. 2 1993 Adiabatic limit and scattering. Zbl 0806.47009Martinez, André; Nakamura, Shu 2 1994 Ergodic properties of infinite quantum harmonic crystals: An analytic approach. Zbl 0864.58020Graffi, Sandro; Martinez, André 2 1996 Optimal lower bound of the resonance widths for a Helmholtz tube-shaped resonator. Zbl 1251.35024Martinez, André; Nédélec, Laurence 2 2012 Widths of highly excited shape resonances. Zbl 1364.81110Dalla Venezia, Marzia; Martinez, André 2 2017 Analytic wave front set for solutions to Schrödinger equations. II: Long range perturbations. Zbl 1214.35055Martinez, André; Nakamura, Shu; Sordoni, Vania 2 2010 The top resonances of the cubic oscillator. Zbl 1204.81053Grecchi, Vincenzo; Maioli, Marco; Martinez, André 2 2010 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 0648.35061Gérard, C.; Martinez, A. 1 1987 Estimates on the molecular dynamics for the predissociation process. (Dynamique moléculaire de la prédissociation.) Zbl 1346.81156Briet, Philippe; Martinez, André 1 2016 Phase transition in the semiclassical regime. Zbl 1174.81318Helffer, Bernard; Martinez, André 1 2000 Estimations sur l’effet tunnel microlocal. (Estimations for the microlocal tunnel effect). Zbl 0778.35077Martinez, André 1 1992 Eigenvalues and resonances of polyatomic molecules in the Born- Oppenheimer approximation. Zbl 0785.47039Martinez, André 1 1992 Precise exponential estimates in adiabatic theory. (Estimations exponentielles précisées en théorie adiabatique.) Zbl 0812.35108Martinez, André 1 1993 Resonant states for a three-body problem under an external field. Zbl 1306.81038Grecchi, Vincenzo; Kovařík, Hynek; Martinez, André; Sacchetti, Andrea; Sordoni, Vania 1 2011 Semiclassical complex interactions at a non-analytic turning point. Zbl 1290.81036Fujiie, Setsuro; Lahmar-Benbernou, Amina; Martinez, Andre 1 2013 Molecular dynamics at an energy-level crossing. Zbl 1423.35270Briet, Philippe; Martinez, André 1 2019 Space-time transformation acoustics. Zbl 1456.35086García-Meca, C.; Carloni, S.; Barceló, C.; Jannes, G.; Sánchez-Dehesa, J.; Martínez, A. 1 2014 Optimal lower bound of the resonance widths for the Helmholtz resonator. Zbl 1337.35027Martinez, André; Nédélec, Laurence 1 2016 Widths of resonances above an energy-level crossing. Zbl 1472.35253Fujiié, S.; Martinez, A.; Watanabe, T. 4 2021 RBF-based partition of unity methods for elliptic PDEs: adaptivity and stability issues via variably scaled kernels. Zbl 1415.65026De Marchi, S.; Martínez, A.; Perracchione, E.; Rossini, M. 8 2019 Fast and stable rational RBF-based partition of unity interpolation. Zbl 07006433De Marchi, S.; Martínez, A.; Perracchione, E. 7 2019 Molecular dynamics at an energy-level crossing. Zbl 1423.35270Briet, Philippe; Martinez, André 1 2019 Molecular predissociation resonances near an energy-level crossing. II: Vector field interaction. Zbl 1386.35296Fujiié, S.; Martinez, A.; Watanabe, T. 4 2017 Estimates on the molecular dynamics for the predissociation process. Zbl 1371.35179Briet, Philippe; Martinez, André 3 2017 Widths of highly excited shape resonances. Zbl 1364.81110Dalla Venezia, Marzia; Martinez, André 2 2017 Molecular predissociation resonances near an energy-level crossing. I: Elliptic interaction. Zbl 1347.35187Fujiié, S.; Martinez, A.; Watanabe, T. 6 2016 Resonance widths for general Helmholtz resonators with straight neck. Zbl 1366.81167Duyckaerts, Thomas; Grigis, Alain; Martinez, André 3 2016 Estimates on the molecular dynamics for the predissociation process. (Dynamique moléculaire de la prédissociation.) Zbl 1346.81156Briet, Philippe; Martinez, André 1 2016 Optimal lower bound of the resonance widths for the Helmholtz resonator. Zbl 1337.35027Martinez, André; Nédélec, Laurence 1 2016 Resonance widths in a case of multidimensional phase space tunneling. Zbl 1309.35096Grigis, Alain; Martinez, André 2 2015 Resonance widths for the molecular predissociation. Zbl 1322.35102Grigis, Alain; Martinez, André 5 2014 Space-time transformation acoustics. Zbl 1456.35086García-Meca, C.; Carloni, S.; Barceló, C.; Jannes, G.; Sánchez-Dehesa, J.; Martínez, A. 1 2014 The spectrum of the cubic oscillator. Zbl 1268.81073Grecchi, Vincenzo; Martinez, André 5 2013 Semiclassical complex interactions at a non-analytic turning point. Zbl 1290.81036Fujiie, Setsuro; Lahmar-Benbernou, Amina; Martinez, Andre 1 2013 Optimal lower bound of the resonance widths for a Helmholtz tube-shaped resonator. Zbl 1251.35024Martinez, André; Nédélec, Laurence 2 2012 Width of shape resonances for non globally analytic potentials. Zbl 1210.81037Fujiié, Setsuro; Lahmar-Benbernou, Amina; Martinez, André 15 2011 Resonant states for a three-body problem under an external field. Zbl 1306.81038Grecchi, Vincenzo; Kovařík, Hynek; Martinez, André; Sacchetti, Andrea; Sordoni, Vania 1 2011 Analytic wave front set for solutions to Schrödinger equations. II: Long range perturbations. Zbl 1214.35055Martinez, André; Nakamura, Shu; Sordoni, Vania 2 2010 The top resonances of the cubic oscillator. Zbl 1204.81053Grecchi, Vincenzo; Maioli, Marco; Martinez, André 2 2010 Twisted pseudodifferential calculus and application to the quantum evolution of molecules. Zbl 1179.35357Martinez, André; Sordoni, Vania 17 2009 Analytic wave front set for solutions to Schrödinger equations. Zbl 1180.35016Martinez, André; Nakamura, Shu; Sordoni, Vania 11 2009 Padé summability of the cubic oscillator. Zbl 1179.81073Grecchi, Vincenzo; Maioli, Marco; Martinez, André 6 2009 Resonances for nonanalytic potentials. Zbl 1203.35033Martinez, André; Ramond, Thierry; Sjöstrand, Johannes 6 2009 A general effective Hamiltonian method. Zbl 1139.35383Martinez, André 6 2007 Erratum to: “Resonance free domains for non globally analytic potentials”. Zbl 1417.81131Martinez, André 3 2007 Analytic smoothing effect for the Schrödinger equation with long-range perturbation. Zbl 1122.35027Martinez, Andre; Nakamura, Shu; Sordoni, Vania 14 2006 Quantum resonances without analyticity. Zbl 1095.35015Cancelier, Claudy; Martinez, André; Ramond, Thierry 4 2005 Mean-field approximation of quantum systems and classical limit. Zbl 1049.81022Graffi, S.; Martinez, A.; Pulvirenti, M. 25 2003 An introduction to semiclassical and microlocal analysis. Zbl 0994.35003Martinez, André 174 2002 Resonance free domains for non globally analytic potentials. Zbl 1026.81012Martinez, A. 26 2002 A general reduction scheme for the time-dependent Born-Oppenheimer approximation. Zbl 1079.81524Martinez, André; Sordoni, Vania 17 2002 Destruction of the beating effect for a nonlinear Schrödinger equation. Zbl 1001.81011Grecchi, Vincenzo; Martinez, André; Sacchetti, Andrea 9 2002 Phase space tunneling in multistate scattering. Zbl 1002.35105Martinez, André; Nakamura, Shu; Sordoni, Vania 5 2002 On Helffer-Sjöstrand’s theorem fo resonances. Zbl 1027.35171Lahmar-Benbernou, Amina; Martinez, André 3 2002 On the fundamental solution of semiclassical Schrödinger equations at resonant times. Zbl 1007.81033Martinez, André; Yajima, Kenji 5 2001 Phase transition in the semiclassical regime. Zbl 1174.81318Helffer, Bernard; Martinez, André 1 2000 Microlocal WKB expansions. Zbl 0941.35136Martinez, André; Sordoni, Vania 6 1999 Semiclassical asymptotics of the residues of the scattering matrix for shape resonances. Zbl 0931.35119Lahmar-Benbernou, Amina; Martinez, André 4 1999 Exponential estimates in diffusion theory for matrix Schrödinger operators. (Estimations exponentielles en théorie de la diffusion pour des opérateurs de Schrödinger matriciels.) Zbl 1024.81051Benchaou, Mohammed; Martinez, André 3 1999 On the Born-Oppenheimer approximation of diatomic wave operators. II: Singular potentials. Zbl 0874.35103Klein, Markus; Martinez, André; Wang, Xue Ping 6 1997 Microlocal exponential estimates and applications to tunneling. Zbl 0890.35120Martinez, A. 5 1997 Ergodic properties of infinite quantum harmonic crystals: An analytic approach. Zbl 0864.58020Graffi, Sandro; Martinez, André 2 1996 Eigenvalues and resonances for domains with tubes: Neumann boundary conditions. Zbl 0815.35075Brown, Russell; Hislop, P. D.; Martinez, A. 11 1995 Nonlinear Stark effect and molecular localization. Zbl 0813.35094Grecchi, Vincenzo; Martinez, André 5 1995 On adiabatic reduction theory. Zbl 0897.47036Martinez, A.; Nenciu, G. 2 1995 Estimates on complex interactions in phase space. Zbl 0836.35135Martinez, André 20 1994 Precise exponential estimates in adiabatic theory. Zbl 0808.47053Martinez, André 19 1994 Resonances of diatomic molecules in the Born-Oppenheimer approximation. Zbl 0826.35148Martinez, André; Messirdi, Bekkai 11 1994 Lower bounds on the interaction between cavities connected by a thin tube. Zbl 0802.35109Brown, Russell M.; Hislop, P. D.; Martinez, A. 7 1994 Adiabatic limit and scattering. Zbl 0806.47009Martinez, André; Nakamura, Shu 2 1994 On the Born-Oppenheimer approximation of wave operators in molecular scattering theory. Zbl 0778.35088Klein, M.; Martinez, A.; Wang, X. P. 14 1993 Lower bounds on eigenfunctions and the first eigenvalue gap. Zbl 0796.35124Brown, R. M.; Hislop, P. D.; Martinez, A. 2 1993 Precise exponential estimates in adiabatic theory. (Estimations exponentielles précisées en théorie adiabatique.) Zbl 0812.35108Martinez, André 1 1993 On the Born-Oppenheimer expansion for polyatomic molecules. Zbl 0754.35099Klein, M.; Martinez, A.; Seiler, R.; Wang, X. P. 54 1992 Estimations sur l’effet tunnel microlocal. (Estimations for the microlocal tunnel effect). Zbl 0778.35077Martinez, André 1 1992 Eigenvalues and resonances of polyatomic molecules in the Born- Oppenheimer approximation. Zbl 0785.47039Martinez, André 1 1992 A mathematical approach to the effective Hamiltonian in perturbed periodic problems. Zbl 0753.35057Gerard, C.; Martinez, A.; Sjöstrand, J. 28 1991 Scattering resonances of a Helmholtz resonator. Zbl 0737.35052Hislop, Peter D.; Martinez, André 20 1991 Résonances dans l’approximation de Born-Oppenheimer. I. (Resonances in Born-Oppenheimer approximation. I). Zbl 0737.35046Martinez, André 14 1991 Resonances in Born-Oppenheimer approximation. II: Length of resonances. (Résonances dans l’approximation de Born-Oppenheimer. II: Largeur des resonances.) Zbl 0737.35047Martinez, André 12 1991 Breit-Wigner formulas for the scattering phase and the total scattering cross-section in the semi-classical limit. Zbl 0704.35114Gérard, C.; Martinez, A.; Robert, D. 17 1989 Dévelopements asymptotiques et effet tunnel dans l’approximation de Born-Oppenheimer. (Asymptotic expansions and tunnel effect in Born- Oppenheimer approximation). Zbl 0689.35063Martinez, A. 15 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 0711.35097Gérard, Christian; Martinez, André 11 1989 Semiclassical asymptotics for the spectral function of long-range Schrödinger operators. Zbl 0692.35069Gerard, C.; Martinez, A. 9 1989 Principe d’absorption limite pour des opérateurs de Schrödinger à longue portée. (Limiting absorption principle for long range Schrödinger operators). Zbl 0672.35013Gérard, Christian; Martinez, André 27 1988 Estimations de l’effet tunnel pour le double puits. II: États hautement excités. (Estimates of the tunnel effect for double wells. II: Highly excited states). Zbl 0666.35069Martinez, André 15 1988 Effet tunnel entre puits dégénérés. (Tunnel effect between degenerate wells). Zbl 0649.35073Martinez, André; Rouleux, Michel 14 1988 Développements asymptotiques dans l’approximation de Born-Oppenheimer. (Asymptotic expansions in the Born-Oppenheimer approximation). Zbl 0699.35209Martinez, André 2 1988 Ergodicité et limite semi-classique. (Ergodicity and semi-classical limit). Zbl 0624.58039Helffer, B.; Martinez, A.; Robert, D. 62 1987 Estimations de l’effet tunnel pour le double puits. (Estmates of tunneling for the double wells). Zbl 0564.35028Martinez, André 7 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 0648.35061Gérard, C.; Martinez, A. 1 1987 Estimations de l’effet tunnel pour le double-puits. (Estimates of the tunnel effect for double wells). Zbl 0613.35022Martinez, A. 3 1986 all cited Publications top 5 cited Publications all top 5 Cited by 496 Authors 36 Martinez, André 16 Nakamura, Shu 14 Sordoni, Vania 12 Robert, Didier 12 Zanelli, Lorenzo 11 Fujiié, Setsuro 11 Paul, Thierry 11 Teufel, Stefan 10 Helffer, Bernard 10 Raymond, Nicolas 9 Bony, Jean-François 9 Zerzeri, Maher 8 Dimassi, Mouez 8 Fermanian-Kammerer, Clotilde 8 Nier, Francis 8 Ramond, Thierry 8 Sjöstrand, Johannes 8 Zworski, Maciej 7 Gadyl’shin, Rustem R. 7 Hagedorn, George A. 7 Lasser, Caroline 7 Sacchetti, Andrea 7 Tamura, Hideo 6 Gérard, Christian 6 Joye, Alain 6 Klein, Markus 6 Messirdi, Bekkai 6 Petkov, Vesselin M. 5 Bonnaillie-Noël, Virginie 5 Bruneau, Vincent 5 Faure, Frédéric 5 Golse, François 5 Graffi, Sandro 5 Jecko, Thierry 5 Nedelec, Laurence 5 Popov, Igor’ Yur’evich 5 Qian, Jianliang 5 Rabinovich, Vladimir Samuilovich 5 Rivière, Gabriel 5 Senoussaoui, Abderrahmane 5 Uribe, Alejandro 5 Watanabe, Takuya 4 Ammari, Zied 4 Burq, Nicolas 4 Dauge, Monique 4 Deleporte, Alix 4 Drouot, Alexis 4 Galkowski, Jeffrey 4 Grecchi, Vincenzo 4 Jin, Long 4 Nourrigat, Jean Francois 4 Parmeggiani, Alberto 4 Purice, Radu 4 Robbiano, Luc 4 Toth, John Andrew 4 Tsujii, Masato 4 Vũ Ngọc, San 4 Wang, Xue Ping 4 Wunsch, Jared 3 Alexandrova, Ivana 3 Amour, Laurent 3 Arrieta, José M. 3 Bouclet, Jean-Marc 3 Cardin, Franco 3 Castella, François 3 Colin de Verdière, Yves 3 Cornean, Horia D. 3 Doi, Shin-ichi 3 Duclos, Pierre 3 Elgart, Alexander 3 Felli, Veronica 3 Grigis, Alain 3 Hislop, Peter D. 3 Iftimie, Viorel 3 Jensen, Arne 3 Kachmar, Ayman 3 Lampart, Jonas 3 Le Rousseau, Jérôme H. 3 Lebeau, Gilles 3 Luo, Songting 3 Macià, Fabricio 3 Măntoiu, Marius Laurențiu 3 Michel, Laurent 3 Morame, Abderemane 3 Nonnenmacher, Stéphane 3 Ourmiéres-Bonafos, Thomas 3 Royer, Julien 3 Saffirio, Chiara 3 Saint-Raymond, Laure 3 Schlein, Benjamin 3 Terracini, Susanna 3 Wang, Xueping 3 Yang, Xu 3 Zelditch, Steve 2 Abatangelo, Laura 2 Aftalion, Amandine 2 Allaire, Grégoire 2 Ambrosio, Luigi 2 Asch, Joachim 2 Ashida, Sohei ...and 396 more Authors all top 5 Cited in 134 Serials 54 Communications in Mathematical Physics 37 Journal of Mathematical Physics 32 Journal of Functional Analysis 21 Annales Henri Poincaré 20 Journal of Differential Equations 18 Communications in Partial Differential Equations 18 Annales de l’Institut Henri Poincaré. Physique Théorique 16 Duke Mathematical Journal 15 Reviews in Mathematical Physics 15 Comptes Rendus. Mathématique. Académie des Sciences, Paris 12 Journal of Spectral Theory 10 Annales de l’Institut Fourier 9 Journal de Mathématiques Pures et Appliquées. Neuvième Série 8 Communications on Pure and Applied Mathematics 8 Transactions of the American Mathematical Society 7 Journal of Computational Physics 7 SIAM Journal on Mathematical Analysis 6 Journal d’Analyse Mathématique 5 Archive for Rational Mechanics and Analysis 5 Journal of Mathematical Analysis and Applications 5 Journal of the Mathematical Society of Japan 5 The Journal of Geometric Analysis 5 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 4 Journal of Statistical Physics 4 Advances in Mathematics 4 Physica D 4 Journal of Mathematical Chemistry 3 Bulletin de la Société Mathématique de France 3 Integral Equations and Operator Theory 3 Inventiones Mathematicae 3 Mathematische Annalen 3 Mathematische Nachrichten 3 Publications of the Research Institute for Mathematical Sciences, Kyoto University 3 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 3 SIAM Journal on Scientific Computing 3 Journal of Mathematical Sciences (New York) 3 The Journal of Fourier Analysis and Applications 3 Documenta Mathematica 3 Journal of the European Mathematical Society (JEMS) 3 Complex Variables and Elliptic Equations 3 Journal of Pseudo-Differential Operators and Applications 3 Bulletin of Mathematical Sciences 2 Inverse Problems 2 Letters in Mathematical Physics 2 Mathematical Notes 2 Theoretical and Mathematical Physics 2 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 2 Journal of the London Mathematical Society. Second Series 2 Mathematische Zeitschrift 2 Numerische Mathematik 2 Osaka Journal of Mathematics 2 Asymptotic Analysis 2 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 2 Annals of Physics 2 Mémoires de la Société Mathématique de France. Nouvelle Série 2 Russian Journal of Mathematical Physics 2 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 2 Mathematical Physics, Analysis and Geometry 2 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 2 Communications in Contemporary Mathematics 2 Communications on Pure and Applied Analysis 2 Multiscale Modeling & Simulation 2 Asian-European Journal of Mathematics 2 Analysis and Mathematical Physics 2 Séminaire Laurent Schwartz. EDP et Applications 2 Tunisian Journal of Mathematics 1 International Journal of Modern Physics B 1 Applicable Analysis 1 Computers & Mathematics with Applications 1 International Journal of Theoretical Physics 1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) 1 Nonlinearity 1 Reports on Mathematical Physics 1 Studia Mathematica 1 Wave Motion 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Arkiv för Matematik 1 Mathematics of Computation 1 Prikladnaya Matematika i Mekhanika 1 Acta Mathematica 1 American Journal of Mathematics 1 The Annals of Probability 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 1 Applied Mathematics and Optimization 1 Automatica 1 International Journal of Mathematics and Mathematical Sciences 1 Manuscripta Mathematica 1 Matematički Vesnik 1 Memoirs of the American Mathematical Society 1 Nagoya Mathematical Journal 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Publications de l’Institut Mathématique. Nouvelle Série 1 SIAM Journal on Numerical Analysis 1 Siberian Mathematical Journal 1 Transactions of the Moscow Mathematical Society 1 Annales de la Faculté des Sciences de Toulouse. Série V. Mathématiques 1 Ergodic Theory and Dynamical Systems 1 Zeitschrift für Analysis und ihre Anwendungen 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 Applied Numerical Mathematics ...and 34 more Serials all top 5 Cited in 42 Fields 359 Partial differential equations (35-XX) 288 Quantum theory (81-XX) 106 Operator theory (47-XX) 58 Global analysis, analysis on manifolds (58-XX) 52 Statistical mechanics, structure of matter (82-XX) 35 Dynamical systems and ergodic theory (37-XX) 26 Numerical analysis (65-XX) 24 Ordinary differential equations (34-XX) 20 Fluid mechanics (76-XX) 19 Differential geometry (53-XX) 17 Functional analysis (46-XX) 12 Harmonic analysis on Euclidean spaces (42-XX) 12 Mechanics of particles and systems (70-XX) 11 Optics, electromagnetic theory (78-XX) 10 Probability theory and stochastic processes (60-XX) 8 Biology and other natural sciences (92-XX) 7 Several complex variables and analytic spaces (32-XX) 7 Approximations and expansions (41-XX) 7 Systems theory; control (93-XX) 6 Calculus of variations and optimal control; optimization (49-XX) 4 Measure and integration (28-XX) 4 Relativity and gravitational theory (83-XX) 4 Geophysics (86-XX) 3 Special functions (33-XX) 3 Integral equations (45-XX) 3 Information and communication theory, circuits (94-XX) 2 Algebraic geometry (14-XX) 2 Functions of a complex variable (30-XX) 2 Abstract harmonic analysis (43-XX) 2 Computer science (68-XX) 2 Mechanics of deformable solids (74-XX) 2 Operations research, mathematical programming (90-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Combinatorics (05-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 \(K\)-theory (19-XX) 1 Sequences, series, summability (40-XX) 1 Integral transforms, operational calculus (44-XX) 1 Geometry (51-XX) 1 Manifolds and cell complexes (57-XX) Citations by Year