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Martinez, André

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Author ID: martinez.andre Recent zbMATH articles by "Martinez, André"
Published as: Martinez, André; Martinez, A.; Martinez, Andre
Homepage: https://www.unibo.it/sitoweb/andre.martinez/
External Links: MGP · ResearchGate
Videos: carmin.tv
Documents Indexed: 90 Publications since 1983, including 2 Books and 2 Additional arXiv Preprints
1 Contribution as Editor
Reviewing Activity: 101 Reviews
Co-Authors: 30 Co-Authors with 64 Joint Publications
623 Co-Co-Authors
all top 5

Co-Authors

22 single-authored
15 Sordoni, Vania
9 Grecchi, Vincenzo
9 Nakamura, Shu
8 Fujiié, Setsuro
6 Gérard, Christian
6 Watanabe, Takuya
5 Sacchetti, Andrea
4 Benbernou, Amina Lahmar
4 Grigis, Alain
4 Hislop, Peter D.
3 Briet, Philippe
3 Brown, Russell Murray
3 Graffi, Sandro
3 Klein, Markus
3 Wang, Xue Ping
2 Duyckaerts, Thomas
2 Helffer, Bernard
2 Kovařík, Hynek
2 Maioli, Marco
2 Nedelec, Laurence
2 Ramond, Thierry
2 Robert, Didier
2 Sjöstrand, Johannes
1 Barceló, Carlos
1 Benchaou, Mohammed
1 Cancelier, Claudy
1 Carloni, Sante
1 Dalla Venezia, Marzia
1 García-Meca, Carlos
1 Jannes, Gil
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 Mathematische Nachrichten
1 Memoirs of the American Mathematical Society
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

77 Partial differential equations (35-XX)
54 Quantum theory (81-XX)
19 Operator theory (47-XX)
4 Global analysis, analysis on manifolds (58-XX)
4 Statistical mechanics, structure of matter (82-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 Numerical analysis (65-XX)
1 Mechanics of particles and systems (70-XX)

Publications by Year

all cited Publications top 5 cited Publications

Citations contained in zbMATH Open

75 Publications have been cited 993 times in 641 Documents Cited by ▼ Year ▼
An introduction to semiclassical and microlocal analysis. Zbl 0994.35003
Martinez, André
237
2002
Ergodicité et limite semi-classique. (Ergodicity and semi-classical limit). Zbl 0624.58039
Helffer, B.; Martinez, A.; Robert, D.
71
1987
On the Born-Oppenheimer expansion for polyatomic molecules. Zbl 0754.35099
Klein, M.; Martinez, A.; Seiler, R.; Wang, X. P.
60
1992
A mathematical approach to the effective Hamiltonian in perturbed periodic problems. Zbl 0753.35057
Gerard, C.; Martinez, A.; Sjöstrand, J.
35
1991
Mean-field approximation of quantum systems and classical limit. Zbl 1049.81022
Graffi, S.; Martinez, A.; Pulvirenti, M.
33
2003
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
Resonance free domains for non globally analytic potentials. Zbl 1026.81012
Martinez, A.
31
2002
Twisted pseudodifferential calculus and application to the quantum evolution of molecules. Zbl 1179.35357
Martinez, André; Sordoni, Vania
27
2009
Scattering resonances of a Helmholtz resonator. Zbl 0737.35052
Hislop, Peter D.; Martinez, André
22
1991
A general reduction scheme for the time-dependent Born-Oppenheimer approximation. Zbl 1079.81524
Martinez, André; Sordoni, Vania
21
2002
Estimates on complex interactions in phase space. Zbl 0836.35135
Martinez, André
20
1994
Precise exponential estimates in adiabatic theory. Zbl 0808.47053
Martinez, André
20
1994
Width of shape resonances for non globally analytic potentials. Zbl 1210.81037
Fujiié, Setsuro; Lahmar-Benbernou, Amina; Martinez, André
18
2011
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
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 0666.35069
Martinez, André
17
1988
On the Born-Oppenheimer approximation of wave operators in molecular scattering theory. Zbl 0778.35088
Klein, M.; Martinez, A.; Wang, X. P.
16
1993
Effet tunnel entre puits dégénérés. (Tunnel effect between degenerate wells). Zbl 0649.35073
Martinez, André; Rouleux, Michel
16
1988
Analytic smoothing effect for the Schrödinger equation with long-range perturbation. Zbl 1122.35027
Martinez, Andre; Nakamura, Shu; Sordoni, Vania
15
2006
Dévelopements asymptotiques et effet tunnel dans l’approximation de Born-Oppenheimer. (Asymptotic expansions and tunnel effect in Born- Oppenheimer approximation). Zbl 0689.35063
Martinez, A.
15
1989
Résonances dans l’approximation de Born-Oppenheimer. I. (Resonances in Born-Oppenheimer approximation. I). Zbl 0737.35046
Martinez, André
15
1991
Resonances in Born-Oppenheimer approximation. II: Length of resonances. (Résonances dans l’approximation de Born-Oppenheimer. II: Largeur des resonances.) Zbl 0737.35047
Martinez, André
14
1991
Resonances of diatomic molecules in the Born-Oppenheimer approximation. Zbl 0826.35148
Martinez, André; Messirdi, Bekkai
13
1994
Eigenvalues and resonances for domains with tubes: Neumann boundary conditions. Zbl 0815.35075
Brown, Russell; Hislop, P. D.; Martinez, A.
13
1995
Analytic wave front set for solutions to Schrödinger equations. Zbl 1180.35016
Martinez, André; Nakamura, Shu; Sordoni, Vania
13
2009
Estimations de l’effet tunnel pour le double puits. (Estmates of tunneling for the double wells). Zbl 0564.35028
Martinez, André
13
1987
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
A general effective Hamiltonian method. Zbl 1139.35383
Martinez, André
11
2007
Destruction of the beating effect for a nonlinear Schrödinger equation. Zbl 1001.81011
Grecchi, Vincenzo; Martinez, André; Sacchetti, Andrea
10
2002
Lower bounds on the interaction between cavities connected by a thin tube. Zbl 0802.35109
Brown, Russell M.; Hislop, P. D.; Martinez, A.
9
1994
Semiclassical asymptotics for the spectral function of long-range Schrödinger operators. Zbl 0692.35069
Gerard, C.; Martinez, A.
9
1989
Resonances for nonanalytic potentials. Zbl 1203.35033
Martinez, André; Ramond, Thierry; Sjöstrand, Johannes
8
2009
Molecular predissociation resonances near an energy-level crossing. I: Elliptic interaction. Zbl 1347.35187
Fujiié, S.; Martinez, A.; Watanabe, T.
7
2016
On the Born-Oppenheimer approximation of diatomic wave operators. II: Singular potentials. Zbl 0874.35103
Klein, Markus; Martinez, André; Wang, Xue Ping
7
1997
Padé summability of the cubic oscillator. Zbl 1179.81073
Grecchi, Vincenzo; Maioli, Marco; Martinez, André
7
2009
Microlocal WKB expansions. Zbl 0941.35136
Martinez, André; Sordoni, Vania
6
1999
Resonance widths for the molecular predissociation. Zbl 1322.35102
Grigis, Alain; Martinez, André
6
2014
Microlocal exponential estimates and applications to tunneling. Zbl 0890.35120
Martinez, A.
6
1997
Nonlinear Stark effect and molecular localization. Zbl 0813.35094
Grecchi, Vincenzo; Martinez, André
5
1995
Quantum resonances without analyticity. Zbl 1095.35015
Cancelier, Claudy; Martinez, André; Ramond, Thierry
5
2005
Phase space tunneling in multistate scattering. Zbl 1002.35105
Martinez, André; Nakamura, Shu; Sordoni, Vania
5
2002
On the fundamental solution of semiclassical Schrödinger equations at resonant times. Zbl 1007.81033
Martinez, André; Yajima, Kenji
5
2001
The spectrum of the cubic oscillator. Zbl 1268.81073
Grecchi, Vincenzo; Martinez, André
5
2013
Widths of resonances above an energy-level crossing. Zbl 1472.35253
Fujiié, S.; Martinez, A.; Watanabe, T.
5
2021
Adiabatic limit and scattering. Zbl 0806.47009
Martinez, André; Nakamura, Shu
4
1994
Lower bounds on eigenfunctions and the first eigenvalue gap. Zbl 0796.35124
Brown, R. M.; Hislop, P. D.; Martinez, A.
4
1993
Semiclassical asymptotics of the residues of the scattering matrix for shape resonances. Zbl 0931.35119
Lahmar-Benbernou, Amina; Martinez, André
4
1999
On Helffer-Sjöstrand’s theorem fo resonances. Zbl 1027.35171
Lahmar-Benbernou, Amina; Martinez, André
4
2002
Molecular predissociation resonances near an energy-level crossing. II: Vector field interaction. Zbl 1386.35296
Fujiié, S.; Martinez, A.; Watanabe, T.
4
2017
Estimations sur l’effet tunnel microlocal. (Estimations for the microlocal tunnel effect). Zbl 0778.35077
Martinez, André
3
1992
Exponential estimates in diffusion theory for matrix Schrödinger operators. (Estimations exponentielles en théorie de la diffusion pour des opérateurs de Schrödinger matriciels.) Zbl 1024.81051
Benchaou, Mohammed; Martinez, André
3
1999
Resonance widths for general Helmholtz resonators with straight neck. Zbl 1366.81167
Duyckaerts, Thomas; Grigis, Alain; Martinez, André
3
2016
Erratum to: “Resonance free domains for non globally analytic potentials”. Zbl 1417.81131
Martinez, André
3
2007
Analytic wave front set for solutions to Schrödinger equations. II: Long range perturbations. Zbl 1214.35055
Martinez, André; Nakamura, Shu; Sordoni, Vania
3
2010
Estimates on the molecular dynamics for the predissociation process. Zbl 1371.35179
Briet, Philippe; Martinez, André
3
2017
Estimations de l’effet tunnel pour le double-puits. (Estimates of the tunnel effect for double wells). Zbl 0613.35022
Martinez, A.
3
1986
On adiabatic reduction theory. Zbl 0897.47036
Martinez, A.; Nenciu, G.
2
1995
Resonance widths in a case of multidimensional phase space tunneling. Zbl 1309.35096
Grigis, Alain; Martinez, André
2
2015
Développements asymptotiques dans l’approximation de Born-Oppenheimer. (Asymptotic expansions in the Born-Oppenheimer approximation). Zbl 0699.35209
Martinez, André
2
1988
Ergodic properties of infinite quantum harmonic crystals: An analytic approach. Zbl 0864.58020
Graffi, Sandro; Martinez, André
2
1996
Optimal lower bound of the resonance widths for the Helmholtz resonator. Zbl 1337.35027
Martinez, André; Nédélec, Laurence
2
2016
Splitting instability: The unstable double wells. Zbl 0904.47069
Grecchi, Vincenzo; Martinez, André; Sacchetti, Andrea
2
1996
Optimal lower bound of the resonance widths for a Helmholtz tube-shaped resonator. Zbl 1251.35024
Martinez, André; Nédélec, Laurence
2
2012
Widths of highly excited shape resonances. Zbl 1364.81110
Dalla Venezia, Marzia; Martinez, André
2
2017
The top resonances of the cubic oscillator. Zbl 1204.81053
Grecchi, Vincenzo; Maioli, Marco; Martinez, André
2
2010
Molecular dynamics at an energy-level crossing. Zbl 1423.35270
Briet, Philippe; Martinez, André
2
2019
Precise exponential estimates in adiabatic theory. (Estimations exponentielles précisées en théorie adiabatique.) Zbl 0812.35108
Martinez, André
1
1993
Eigenvalues and resonances of polyatomic molecules in the Born- Oppenheimer approximation. Zbl 0785.47039
Martinez, André
1
1992
On the Born-Oppenheimer approximation of diatomic molecular resonances. Zbl 1325.81196
Martinez, André; Sordoni, Vania
1
2015
Estimates on the molecular dynamics for the predissociation process. (Dynamique moléculaire de la prédissociation.) Zbl 1346.81156
Briet, Philippe; Martinez, André
1
2016
Phase transition in the semiclassical regime. Zbl 1174.81318
Helffer, Bernard; Martinez, André
1
2000
Resonant states for a three-body problem under an external field. Zbl 1306.81038
Grecchi, Vincenzo; Kovařík, Hynek; Martinez, André; Sacchetti, Andrea; Sordoni, Vania
1
2011
Semiclassical complex interactions at a non-analytic turning point. Zbl 1290.81036
Fujiie, Setsuro; Lahmar-Benbernou, Amina; Martinez, Andre
1
2013
Widths of highly excited resonances in multidimensional molecular predissociation. Zbl 1450.35199
Martinez, André; Sordoni, Vania
1
2020
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
Space-time transformation acoustics. Zbl 1456.35086
García-Meca, C.; Carloni, S.; Barceló, C.; Jannes, G.; Sánchez-Dehesa, J.; Martínez, A.
1
2014
Widths of resonances above an energy-level crossing. Zbl 1472.35253
Fujiié, S.; Martinez, A.; Watanabe, T.
5
2021
Widths of highly excited resonances in multidimensional molecular predissociation. Zbl 1450.35199
Martinez, André; Sordoni, Vania
1
2020
Molecular dynamics at an energy-level crossing. Zbl 1423.35270
Briet, Philippe; Martinez, André
2
2019
Molecular predissociation resonances near an energy-level crossing. II: Vector field interaction. Zbl 1386.35296
Fujiié, S.; Martinez, A.; Watanabe, T.
4
2017
Estimates on the molecular dynamics for the predissociation process. Zbl 1371.35179
Briet, Philippe; Martinez, André
3
2017
Widths of highly excited shape resonances. Zbl 1364.81110
Dalla Venezia, Marzia; Martinez, André
2
2017
Molecular predissociation resonances near an energy-level crossing. I: Elliptic interaction. Zbl 1347.35187
Fujiié, S.; Martinez, A.; Watanabe, T.
7
2016
Resonance widths for general Helmholtz resonators with straight neck. Zbl 1366.81167
Duyckaerts, Thomas; Grigis, Alain; Martinez, André
3
2016
Optimal lower bound of the resonance widths for the Helmholtz resonator. Zbl 1337.35027
Martinez, André; Nédélec, Laurence
2
2016
Estimates on the molecular dynamics for the predissociation process. (Dynamique moléculaire de la prédissociation.) Zbl 1346.81156
Briet, Philippe; Martinez, André
1
2016
Resonance widths in a case of multidimensional phase space tunneling. Zbl 1309.35096
Grigis, Alain; Martinez, André
2
2015
On the Born-Oppenheimer approximation of diatomic molecular resonances. Zbl 1325.81196
Martinez, André; Sordoni, Vania
1
2015
Resonance widths for the molecular predissociation. Zbl 1322.35102
Grigis, Alain; Martinez, André
6
2014
Space-time transformation acoustics. Zbl 1456.35086
García-Meca, C.; Carloni, S.; Barceló, C.; Jannes, G.; Sánchez-Dehesa, J.; Martínez, A.
1
2014
The spectrum of the cubic oscillator. Zbl 1268.81073
Grecchi, Vincenzo; Martinez, André
5
2013
Semiclassical complex interactions at a non-analytic turning point. Zbl 1290.81036
Fujiie, Setsuro; Lahmar-Benbernou, Amina; Martinez, Andre
1
2013
Optimal lower bound of the resonance widths for a Helmholtz tube-shaped resonator. Zbl 1251.35024
Martinez, André; Nédélec, Laurence
2
2012
Width of shape resonances for non globally analytic potentials. Zbl 1210.81037
Fujiié, Setsuro; Lahmar-Benbernou, Amina; Martinez, André
18
2011
Resonant states for a three-body problem under an external field. Zbl 1306.81038
Grecchi, 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 1214.35055
Martinez, André; Nakamura, Shu; Sordoni, Vania
3
2010
The top resonances of the cubic oscillator. Zbl 1204.81053
Grecchi, Vincenzo; Maioli, Marco; Martinez, André
2
2010
Twisted pseudodifferential calculus and application to the quantum evolution of molecules. Zbl 1179.35357
Martinez, André; Sordoni, Vania
27
2009
Analytic wave front set for solutions to Schrödinger equations. Zbl 1180.35016
Martinez, André; Nakamura, Shu; Sordoni, Vania
13
2009
Resonances for nonanalytic potentials. Zbl 1203.35033
Martinez, André; Ramond, Thierry; Sjöstrand, Johannes
8
2009
Padé summability of the cubic oscillator. Zbl 1179.81073
Grecchi, Vincenzo; Maioli, Marco; Martinez, André
7
2009
A general effective Hamiltonian method. Zbl 1139.35383
Martinez, André
11
2007
Erratum to: “Resonance free domains for non globally analytic potentials”. Zbl 1417.81131
Martinez, André
3
2007
Analytic smoothing effect for the Schrödinger equation with long-range perturbation. Zbl 1122.35027
Martinez, Andre; Nakamura, Shu; Sordoni, Vania
15
2006
Quantum resonances without analyticity. Zbl 1095.35015
Cancelier, Claudy; Martinez, André; Ramond, Thierry
5
2005
Mean-field approximation of quantum systems and classical limit. Zbl 1049.81022
Graffi, S.; Martinez, A.; Pulvirenti, M.
33
2003
An introduction to semiclassical and microlocal analysis. Zbl 0994.35003
Martinez, André
237
2002
Resonance free domains for non globally analytic potentials. Zbl 1026.81012
Martinez, A.
31
2002
A general reduction scheme for the time-dependent Born-Oppenheimer approximation. Zbl 1079.81524
Martinez, André; Sordoni, Vania
21
2002
Destruction of the beating effect for a nonlinear Schrödinger equation. Zbl 1001.81011
Grecchi, Vincenzo; Martinez, André; Sacchetti, Andrea
10
2002
Phase space tunneling in multistate scattering. Zbl 1002.35105
Martinez, André; Nakamura, Shu; Sordoni, Vania
5
2002
On Helffer-Sjöstrand’s theorem fo resonances. Zbl 1027.35171
Lahmar-Benbernou, Amina; Martinez, André
4
2002
On the fundamental solution of semiclassical Schrödinger equations at resonant times. Zbl 1007.81033
Martinez, André; Yajima, Kenji
5
2001
Phase transition in the semiclassical regime. Zbl 1174.81318
Helffer, Bernard; Martinez, André
1
2000
Microlocal WKB expansions. Zbl 0941.35136
Martinez, André; Sordoni, Vania
6
1999
Semiclassical asymptotics of the residues of the scattering matrix for shape resonances. Zbl 0931.35119
Lahmar-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 1024.81051
Benchaou, Mohammed; Martinez, André
3
1999
On the Born-Oppenheimer approximation of diatomic wave operators. II: Singular potentials. Zbl 0874.35103
Klein, Markus; Martinez, André; Wang, Xue Ping
7
1997
Microlocal exponential estimates and applications to tunneling. Zbl 0890.35120
Martinez, A.
6
1997
Ergodic properties of infinite quantum harmonic crystals: An analytic approach. Zbl 0864.58020
Graffi, Sandro; Martinez, André
2
1996
Splitting instability: The unstable double wells. Zbl 0904.47069
Grecchi, Vincenzo; Martinez, André; Sacchetti, Andrea
2
1996
Eigenvalues and resonances for domains with tubes: Neumann boundary conditions. Zbl 0815.35075
Brown, Russell; Hislop, P. D.; Martinez, A.
13
1995
Nonlinear Stark effect and molecular localization. Zbl 0813.35094
Grecchi, Vincenzo; Martinez, André
5
1995
On adiabatic reduction theory. Zbl 0897.47036
Martinez, A.; Nenciu, G.
2
1995
Estimates on complex interactions in phase space. Zbl 0836.35135
Martinez, André
20
1994
Precise exponential estimates in adiabatic theory. Zbl 0808.47053
Martinez, André
20
1994
Resonances of diatomic molecules in the Born-Oppenheimer approximation. Zbl 0826.35148
Martinez, André; Messirdi, Bekkai
13
1994
Lower bounds on the interaction between cavities connected by a thin tube. Zbl 0802.35109
Brown, Russell M.; Hislop, P. D.; Martinez, A.
9
1994
Adiabatic limit and scattering. Zbl 0806.47009
Martinez, André; Nakamura, Shu
4
1994
On the Born-Oppenheimer approximation of wave operators in molecular scattering theory. Zbl 0778.35088
Klein, M.; Martinez, A.; Wang, X. P.
16
1993
Lower bounds on eigenfunctions and the first eigenvalue gap. Zbl 0796.35124
Brown, R. M.; Hislop, P. D.; Martinez, A.
4
1993
Precise exponential estimates in adiabatic theory. (Estimations exponentielles précisées en théorie adiabatique.) Zbl 0812.35108
Martinez, André
1
1993
On the Born-Oppenheimer expansion for polyatomic molecules. Zbl 0754.35099
Klein, M.; Martinez, A.; Seiler, R.; Wang, X. P.
60
1992
Estimations sur l’effet tunnel microlocal. (Estimations for the microlocal tunnel effect). Zbl 0778.35077
Martinez, André
3
1992
Eigenvalues and resonances of polyatomic molecules in the Born- Oppenheimer approximation. Zbl 0785.47039
Martinez, André
1
1992
A mathematical approach to the effective Hamiltonian in perturbed periodic problems. Zbl 0753.35057
Gerard, C.; Martinez, A.; Sjöstrand, J.
35
1991
Scattering resonances of a Helmholtz resonator. Zbl 0737.35052
Hislop, Peter D.; Martinez, André
22
1991
Résonances dans l’approximation de Born-Oppenheimer. I. (Resonances in Born-Oppenheimer approximation. I). Zbl 0737.35046
Martinez, André
15
1991
Resonances in Born-Oppenheimer approximation. II: Length of resonances. (Résonances dans l’approximation de Born-Oppenheimer. II: Largeur des resonances.) Zbl 0737.35047
Martinez, André
14
1991
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
Dévelopements asymptotiques et effet tunnel dans l’approximation de Born-Oppenheimer. (Asymptotic expansions and tunnel effect in Born- Oppenheimer approximation). Zbl 0689.35063
Martinez, 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 0711.35097
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
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
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 0666.35069
Martinez, André
17
1988
Effet tunnel entre puits dégénérés. (Tunnel effect between degenerate wells). Zbl 0649.35073
Martinez, André; Rouleux, Michel
16
1988
Développements asymptotiques dans l’approximation de Born-Oppenheimer. (Asymptotic expansions in the Born-Oppenheimer approximation). Zbl 0699.35209
Martinez, André
2
1988
Ergodicité et limite semi-classique. (Ergodicity and semi-classical limit). Zbl 0624.58039
Helffer, B.; Martinez, A.; Robert, D.
71
1987
Estimations de l’effet tunnel pour le double puits. (Estmates of tunneling for the double wells). Zbl 0564.35028
Martinez, André
13
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
Estimations de l’effet tunnel pour le double-puits. (Estimates of the tunnel effect for double wells). Zbl 0613.35022
Martinez, A.
3
1986
all cited Publications top 5 cited Publications
all top 5

Cited by 609 Authors

36 Martinez, André
16 Nakamura, Shu
15 Raymond, Nicolas
14 Fujiié, Setsuro
14 Sordoni, Vania
13 Teufel, Stefan
12 Fermanian-Kammerer, Clotilde
12 Helffer, Bernard
12 Paul, Thierry
12 Robert, Didier
12 Zanelli, Lorenzo
12 Zerzeri, Maher
11 Bony, Jean-François
11 Sjöstrand, Johannes
11 Zworski, Maciej
10 Lasser, Caroline
10 Nier, Francis
10 Ramond, Thierry
8 Dimassi, Mouez
8 Faure, Frédéric
8 Klein, Markus
8 Sacchetti, Andrea
7 Gadyl’shin, Rustem R.
7 Hagedorn, George A.
7 Messirdi, Bekkai
7 Saffirio, Chiara
7 Tamura, Hideo
6 Dauge, Monique
6 Drouot, Alexis
6 Galkowski, Jeffrey
6 Gérard, Christian
6 Golse, François
6 Jecko, Thierry
6 Joye, Alain
6 Petkov, Vesselin M.
6 Popov, Igor’ Yur’evich
6 Rabinovich, Vladimir Samuilovich
6 Tsujii, Masato
6 Vũ Ngọc, San
6 Wunsch, Jared
5 Bonnaillie-Noël, Virginie
5 Bruneau, Vincent
5 Graffi, Sandro
5 Lafleche, Laurent
5 Luo, Songting
5 Nedelec, Laurence
5 Qian, Jianliang
5 Rivière, Gabriel
5 Robbiano, Luc
5 Senoussaoui, Abderrahmane
5 Stefanov, Plamen D.
5 Toth, John Andrew
5 Uribe, Alejandro
5 Watanabe, Takuya
4 Ammari, Zied
4 Ashida, Sohei
4 Burq, Nicolas
4 Deleporte, Alix
4 Falconi, Marco
4 Gao, Yijin
4 Grecchi, Vincenzo
4 Jin, Long
4 Kachmar, Ayman
4 Macià, Fabricio
4 Mayfield, Jay P.
4 Nourrigat, Jean Francois
4 Parmeggiani, Alberto
4 Purice, Radu
4 Rosenberger, Elke
4 Royer, Julien
4 Terracini, Susanna
4 Wang, Xue Ping
4 Yang, Xu
3 Alexandrova, Ivana
3 Amour, Laurent
3 Anikin, Anatolii Yur’evich
3 Arrieta, José M.
3 Betz, Volker
3 Bouclet, Jean-Marc
3 Breteaux, Sébastien
3 Canzani, Yaiza
3 Cardin, Franco
3 Carles, Rémi
3 Castella, François
3 Colin de Verdière, Yves
3 Cordero, Elena
3 Cornean, Horia D.
3 Dobrokhotov, Sergei Yurievich
3 Doi, Shin-ichi
3 Duclos, Pierre
3 Elgart, Alexander
3 Felli, Veronica
3 Fischer, Véronique
3 Grigis, Alain
3 Hérau, Frédéric
3 Higuchi, Kenta
3 Hillairet, Luc
3 Hislop, Peter D.
3 Hitrik, Michael
3 Iftimie, Viorel
...and 509 more Authors
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Cited in 157 Serials

59 Communications in Mathematical Physics
42 Journal of Mathematical Physics
34 Journal of Functional Analysis
23 Annales Henri Poincaré
20 Journal of Differential Equations
18 Communications in Partial Differential Equations
18 Annales de l’Institut Henri Poincaré. Physique Théorique
16 Reviews in Mathematical Physics
16 Duke Mathematical Journal
16 Journal of Spectral Theory
15 Comptes Rendus. Mathématique. Académie des Sciences, Paris
12 Annales de l’Institut Fourier
12 SIAM Journal on Mathematical Analysis
11 Communications on Pure and Applied Mathematics
9 Journal of Computational Physics
9 Journal de Mathématiques Pures et Appliquées. Neuvième Série
8 Transactions of the American Mathematical Society
7 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
6 Journal d’Analyse Mathématique
6 Bulletin de la Société Mathématique de France
5 Archive for Rational Mechanics and Analysis
5 Journal of Mathematical Analysis and Applications
5 Journal of Statistical Physics
5 Advances in Mathematics
5 Journal of the Mathematical Society of Japan
5 Physica D
5 Asymptotic Analysis
5 The Journal of Geometric Analysis
5 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
5 Journal of Mathematical Sciences (New York)
5 Journal of the European Mathematical Society (JEMS)
5 Analysis & PDE
4 Inverse Problems
4 Theoretical and Mathematical Physics
4 Mathematische Nachrichten
4 Annals of Physics
4 SIAM Journal on Scientific Computing
4 The Journal of Fourier Analysis and Applications
4 Documenta Mathematica
4 Journal of Mathematical Chemistry
3 Letters in Mathematical Physics
3 Integral Equations and Operator Theory
3 Inventiones Mathematicae
3 Mathematische Annalen
3 Mathematische Zeitschrift
3 Numerische Mathematik
3 Publications of the Research Institute for Mathematical Sciences, Kyoto University
3 Complex Variables and Elliptic Equations
3 Journal of Physics A: Mathematical and Theoretical
3 Journal of Pseudo-Differential Operators and Applications
3 Bulletin of Mathematical Sciences
3 Journal de l’École Polytechnique – Mathématiques
3 Tunisian Journal of Mathematics
3 Pure and Applied Analysis
3 Annales Henri Lebesgue
2 Computers & Mathematics with Applications
2 Mathematical Notes
2 Studia Mathematica
2 Wave Motion
2 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
2 Journal of the London Mathematical Society. Second Series
2 Memoirs of the American Mathematical Society
2 Osaka Journal of Mathematics
2 Annals of Global Analysis and Geometry
2 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
2 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni
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 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
2 Asian-European Journal of Mathematics
2 Analysis and Mathematical Physics
2 Séminaire Laurent Schwartz. EDP et Applications
1 International Journal of Modern Physics B
1 Applicable Analysis
1 Classical and Quantum Gravity
1 International Journal of Theoretical Physics
1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV)
1 Linear and Multilinear Algebra
1 Nonlinearity
1 Physics Letters. A
1 Reports on Mathematical Physics
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 Hiroshima Mathematical Journal
1 Hokkaido Mathematical Journal
1 International Journal of Mathematics and Mathematical Sciences
...and 57 more Serials
all top 5

Cited in 45 Fields

435 Partial differential equations (35-XX)
353 Quantum theory (81-XX)
128 Operator theory (47-XX)
74 Global analysis, analysis on manifolds (58-XX)
67 Statistical mechanics, structure of matter (82-XX)
46 Dynamical systems and ergodic theory (37-XX)
34 Numerical analysis (65-XX)
32 Ordinary differential equations (34-XX)
24 Fluid mechanics (76-XX)
23 Differential geometry (53-XX)
22 Mechanics of particles and systems (70-XX)
19 Functional analysis (46-XX)
16 Harmonic analysis on Euclidean spaces (42-XX)
16 Probability theory and stochastic processes (60-XX)
15 Optics, electromagnetic theory (78-XX)
9 Systems theory; control (93-XX)
8 Several complex variables and analytic spaces (32-XX)
8 Approximations and expansions (41-XX)
8 Biology and other natural sciences (92-XX)
7 Calculus of variations and optimal control; optimization (49-XX)
6 Integral transforms, operational calculus (44-XX)
6 Relativity and gravitational theory (83-XX)
5 Measure and integration (28-XX)
5 Geophysics (86-XX)
5 Information and communication theory, circuits (94-XX)
4 Algebraic geometry (14-XX)
4 Functions of a complex variable (30-XX)
4 Special functions (33-XX)
3 Real functions (26-XX)
3 Integral equations (45-XX)
3 Computer science (68-XX)
2 General and overarching topics; collections (00-XX)
2 History and biography (01-XX)
2 Combinatorics (05-XX)
2 Linear and multilinear algebra; matrix theory (15-XX)
2 \(K\)-theory (19-XX)
2 Sequences, series, summability (40-XX)
2 Abstract harmonic analysis (43-XX)
2 Manifolds and cell complexes (57-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 Potential theory (31-XX)
1 Geometry (51-XX)
1 Algebraic topology (55-XX)

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