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