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Author ID: robert.didier Recent zbMATH articles by "Robert, Didier"
Published as: Robert, Didier; Robert, D.
Homepage: http://www.math.sciences.univ-nantes.fr/~robert/
External Links: MGP · ResearchGate · dblp
Documents Indexed: 118 Publications since 1971, including 3 Books
4 Contributions as Editor
Reviewing Activity: 120 Reviews
Co-Authors: 37 Co-Authors with 78 Joint Publications
617 Co-Co-Authors
all top 5

Serials

9 Comptes Rendus de l’Académie des Sciences. Série I
6 Communications in Mathematical Physics
6 Journal of Functional Analysis
5 Communications in Partial Differential Equations
4 Annales de l’Institut Henri Poincaré. Physique Théorique
3 Journal of Mathematical Physics
3 Asymptotic Analysis
3 Journal de Mathématiques Pures et Appliquées. Neuvième Série
3 Comptes Rendus Hebdomadaires des Séances de l’Académie des Sciences, Série A
2 Helvetica Physica Acta
2 Israel Journal of Mathematics
2 Reviews in Mathematical Physics
2 American Journal of Mathematics
2 Annales de l’Institut Fourier
2 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV
2 Duke Mathematical Journal
2 Osaka Journal of Mathematics
2 St. Petersburg Mathematical Journal
2 Matemática Contemporânea
2 Annales Henri Poincaré
2 Astérisque
2 Analysis & PDE
2 Theoretical and Mathematical Physics (Cham)
1 Journal d’Analyse Mathématique
1 Arkiv för Matematik
1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
1 Gazette des Mathématiciens
1 Integral Equations and Operator Theory
1 Transactions of the American Mathematical Society
1 Annales de la Faculté des Sciences de Toulouse. Série V. Mathématiques
1 Chinese Annals of Mathematics. Series B
1 IMRN. International Mathematics Research Notices
1 Annals of Physics
1 Mathematical Research Letters
1 Serdica Mathematical Journal
1 European Mathematical Society Newsletter
1 Journal of Mathematical Study
1 Comptes Rendus de l’Académie des Sciences. Série II. Fascicule b. Mécanique, Physique, Astronomie
1 Journal of the European Mathematical Society (JEMS)
1 Cubo
1 Progress in Mathematics
1 Séminaires et Congrès
1 Journal of Physics A: Mathematical and Theoretical
1 Journal of Spectral Theory

Publications by Year

Citations contained in zbMATH Open

83 Publications have been cited 1,281 times in 774 Documents Cited by Year
Autour de l’approximation semi-classique. (Around semiclassical approximation). Zbl 0621.35001
Robert, Didier
180
1987
Calcul fonctionnel par la transformation de Mellin et opérateurs admissibles. Zbl 0524.35103
Helffer, B.; Robert, D.
93
1983
Coherent states and applications in mathematical physics. Zbl 1243.81004
Combescure, Monique; Robert, Didier
89
2012
Ergodicité et limite semi-classique. (Ergodicity and semi-classical limit). Zbl 0624.58039
Helffer, B.; Martinez, A.; Robert, D.
62
1987
Propriétés spectrales d’opérateurs pseudo-différentiels. Zbl 0392.35056
Robert, D.
44
1978
Reducibility of the quantum harmonic oscillator in \(d\)-dimensions with polynomial time-dependent perturbation. Zbl 1386.35059
Bambusi, Dario; Grébert, Benoît; Maspero, Alberto; Robert, Didier
44
2018
Comportement semi-classique du spectre des hamiltoniens quantiques elliptiques. Zbl 0451.35022
Robert, D.; Helffer, B.
41
1981
Propriétés asymptotiques du spectre d’opérateurs pseudodifferentiels sur \(R^ n\). Zbl 0501.35081
Helffer, Bernard; Robert, Didier
40
1982
Uniform semiclassical estimates for the propagation of quantum observables. Zbl 1069.35061
Bouzouina, A.; Robert, D.
36
2002
Semi-classical estimates for resolvents and asymptotics for total scattering cross-sections. Zbl 0648.35066
Robert, Didier; Tamura, Hideo
33
1987
On time dependent Schrödinger equations: global well-posedness and growth of Sobolev norms. Zbl 1366.35153
Maspero, A.; Robert, D.
33
2017
Puits de potentiel généralisés et asymptotique semi-classique. (Generalized potential wells and semiclassical asymptotic). Zbl 0565.35082
Helffer, B.; Robert, D.
32
1984
A proof of the Gutzwiller semiclassical trace formula using coherent states decomposition. Zbl 0939.58031
Combescure, Monique; Ralston, James; Robert, Didier
27
1999
Semiclassical spreading of quantum wave packets and applications near unstable fixed points of the classical flow. Zbl 0894.35026
Combescure, M.; Robert, D.
27
1997
Relative time-delay for perturbations of elliptic operators and semiclassical asymptotics. Zbl 0813.35073
Robert, Didier
25
1994
Asymptotique des niveaux d’energie pour des Hamiltoniens à un degré de liberte. Zbl 0519.35063
Helffer, B.; Robert, D.
23
1982
Asymptotics for high energies of the scattering phase for second order perturbations of the Laplacian. (Asymptotique de la phase de diffusion à haute énergie pour des perturbations du second ordre du Laplacien.) Zbl 0801.35100
Robert, D.
21
1992
Semi-classical bounds for resolvents of Schrödinger operators and asymptotics for scattering phases. Zbl 0561.35021
Robert, Didier; Tamura, Hideo
21
1984
Sur un problème aux valeurs propres non linéaire. Zbl 0444.35065
Pham The Lai; Robert, D.
20
1980
Asymptotique semi-classique du spectre d’hamiltoniens quantiques et trajectoires classiques périodiques. Zbl 0574.35067
Petkov, Vesslin; Robert, Didier
20
1985
Comportement asymptotique des valeurs propres d’opérateurs du type Schrödinger à potentiel ”dégénérée”. Zbl 0511.35069
Robert, Didier
19
1982
Asymptotic behavior of scattering amplitudes in semi-classical and low energy limits. Zbl 0659.35026
Robert, D.; Tamura, H.
17
1989
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
On the Herman-Kluk semiclassical approximation. Zbl 1206.35212
Robert, Didier
16
2010
Probabilistic global well-posedness for the supercritical nonlinear harmonic oscillator. Zbl 1322.35190
Poiret, Aurélien; Robert, Didier; Thomann, Laurent
15
2014
Semi-classical asymptotics for local spectral densities and time delay problems in scattering processes. Zbl 0663.47009
Robert, D.; Tamura, H.
13
1988
Supersymmetry versus ghosts. Zbl 1152.81591
Robert, Didier; Smilga, Andrei V.
12
2008
Semiclassical asymptotics for the spectral shift function. Zbl 0922.35108
Robert, Didier
12
1999
Growth of Sobolev norms for abstract linear Schrödinger equations. Zbl 1460.35307
Bambusi, Dario; Grébert, Benoît; Maspero, Alberto; Robert, Didier
11
2021
Étude du spectre pour un opérateur globalement elliptique dont le symbole de Weyl présente des symétries. II: Action des groupes de Lie compacts. (Spectral study for a globally elliptic operator the Weyl symbol of which presents symmetries. II: Actions of compact Lie groups). Zbl 0605.58042
Helffer, B.; Robert, D.
11
1986
Asymptotique à grande energie de la phase de diffusion pour un potentiel. (Large energy asymptotic of the diffusion phase for a potential.). Zbl 0737.35054
Robert, Didier
11
1990
Riesz means of bound states and semiclassical limit connected with a Lieb-Thirring’s conjecture. Zbl 0717.35062
Helffer, B.; Robert, D.
11
1990
Calcul fonctionnel sur les opérateurs admissibles et application. Zbl 0482.35069
Robert, Didier
11
1982
Invariants orthogonaux pour certaines classes d’operateurs. (Orthogonal invariants for certain classes of operators). Zbl 0226.47017
Robert, Didier
10
1973
Propagation of coherent states in quantum mechanics and applications. Zbl 1146.35086
Robert, Didier
10
2007
Existence of time-delay operators for Stark-Hamiltonians. Zbl 0677.35080
Robert, Didier; Wang, Xue Ping
10
1989
Asymptotics of the scattering phase for the Dirac operator: high energy, semi-classical and non-relativistic limits. Zbl 1040.81091
Bruneau, Vincent; Robert, Didier
9
1999
Étude du spectre pour un opérateur globalement elliptique dont le symbole de Weyl présente des symétries. I: Action des groupes finis. (Study of the spectrum of a global elliptic operator whose Weyl symbol shows symmetries. I: Action of finite groups). Zbl 0583.58029
Helffer, Bernard; Robert, Didier
8
1984
Riesz means of bounded states and semi-classical limit connected with a Lieb-Thirring conjecture. II. Zbl 0728.35078
Helffer, B.; Robert, D.
8
1990
On scattering theory for long range perturbations of Laplace operators. Zbl 0813.35072
Robert, D.
7
1992
On the Weyl formula for obstacles. Zbl 0849.35096
Robert, Didier
7
1996
Semi-classical approximation in quantum mechanics. A survey of old and recent mathematical results. Zbl 0892.35131
Robert, D.
7
1997
Random-weighted Sobolev inequalities on \(\mathbb{R}^d\) and application to Hermite functions. Zbl 1310.81060
Poiret, Aurélien; Robert, Didier; Thomann, Laurent
7
2015
Comportement asymptotique precise du spectre d’opérateurs globalement elliptiques dans \(R^ n\). Zbl 0503.35070
Helffer, B.; Robert, D.
7
1981
Comportement semi-classique du spectre des hamiltoniens quantiques hypoelliptiques. Zbl 0507.35066
Helffer, B.; Robert, D.
7
1982
Comportement asymptotique precise du spectre d’opérateurs globalement elliptiques dans \(R^ n\). Zbl 0467.35074
Helffer, Bernard; Robert, Didier
6
1981
Semiclassical propagation on \(|\log \hbar|\) time scales. Zbl 1127.81328
De Bièvre, Stephan; Robert, Didier
6
2003
A phase-space study of the quantum Loschmidt echo in the semiclassical limit. Zbl 1109.81051
Combescure, Monique; Robert, Didier
6
2007
Quadratic quantum Hamiltonians revisited. Zbl 1105.35092
Combescure, Monique; Robert, Didier
6
2006
Weyl’s formula for a class of pseudodifferential operators with negative order in \(L^ 2({\mathbb{R}}^ n)\). Zbl 0629.35098
Dauge, Monique; Robert, Didier
5
1987
On random Hermite series. Zbl 1357.60047
Imekraz, Rafik; Robert, Didier; Thomann, Laurent
5
2016
Quantum scattering theory for long and short range perturbations of the magnetic field. (Théorie de la diffusion quantique pour des perturbations à longue et courte portée du champ magnétique.) Zbl 0780.35091
Nicoleau, François; Robert, Didier
4
1991
Time-delay and spectral density for Stark Hamiltonians. II: Asymptotics of trace formulae. Zbl 0747.35029
Robert, D.; Wang, Xue Ping
4
1991
Random weighted Sobolev inequalities and application to quantum ergodicity. Zbl 1341.60074
Robert, Didier; Thomann, Laurent
4
2015
Breit-Wigner formula for the scattering phase in the Stark effect. Zbl 0705.35093
Klein, Markus; Robert, Didier; Wang, Xue Ping
4
1990
Fermionic coherent states. Zbl 1248.81076
Combescure, Monique; Robert, Didier
4
2012
Distribution of matrix elements and level spacing for classically chaotic systems. Zbl 0833.58018
Combescure, Monique; Robert, Didier
3
1994
Comportement semi-classique du spectre des hamiltoniens quantiques hypoelliptiques. Zbl 0465.35025
Helffer, Bernard; Robert, Didier
3
1981
Rigorous semiclassical results for the magnetic response of an electron gas. Zbl 1027.82003
Combescure, Monique; Robert, Didier
3
2001
Sur les opérateurs linéaires qui transforment la boule unite d’un espace de Banach en une partie latticiellement bornee d’un espace de Banach reticule. Zbl 0331.46008
Robert, Didier
3
1976
Remarks on the paper of V. Guillemin and K. Okikiolu: “Subprincipal terms in Szegő estimates”. Zbl 0917.58046
Laptev, A.; Robert, D.; Safarov, Yu.
3
1998
On the traces of operators (from Grothendieck to Lidskii). Zbl 06793887
Robert, Didier
3
2017
The semi-classical Van-Vleck formula. Application to the Aharonov-Bohm effect. Zbl 0979.81040
Bily, J. M.; Robert, D.
2
2001
Semiclassical sum rules and generalized coherent states. Zbl 0884.47048
Combescure, M.; Robert, D.
2
1995
Développement asymptotique du noyau resolvant d’opérateurs elliptiques. Zbl 0393.35022
Robert, Didier
2
1978
Remarks on asymptotic solutions for time dependent Schrödinger equations. Zbl 1054.35096
Robert, Didier
2
2001
A trace formula for obstacles problems and applications. Zbl 0818.35074
Robert, Didier
1
1994
Propagation of wave packets for systems presenting codimension one crossings. Zbl 1471.81020
Fermanian-Kammerer, Clotilde; Lasser, Caroline; Robert, Didier
1
2021
Sur un problème aux valeurs propres non linéaire. Zbl 0413.35060
Pham The Lai; Robert, D.
1
1979
Valeurs propres d’une classe d’équations différentielles singulieres sur une demi-droite. Zbl 0422.35062
Lai, Pham The; Robert, D.
1
1979
Trace formulas and Dirichlet-Neumann problems with variable boundary: The scalar case. Zbl 0881.47025
Robert, D.; Sordoni, V.
1
1996
Generalized determinants for Sturm-Liouville problems on the real line. Zbl 0913.35095
Robert, Didier; Sordoni, Vania
1
1997
Coherent states propagation by the Schrödinger equation and semi-classical approximation. (Propagation d’états cohérents par l’équation de Schrödinger et approximation semi-classique.) Zbl 0860.35104
Combescure, Monique; Robert, Didier
1
1996
Semiclassical analysis of a nonlinear eigenvalue problem and nonanalytic hypoellipticity. Zbl 1082.35116
Helffer, Bernard; Robert, Didier; Wang, Xue Ping
1
2004
Nonlinear eigenvalue problems. Zbl 1083.35082
Robert, Didier
1
2004
Analyse semi-classique de l’effet tunnel [d’après B. Helffer et J. Sjöstrand]. (Semiclassical analysis of the tunnel effect). Zbl 0632.35014
Robert, Didier
1
1987
Nonlinear eigenvalues problems with a small parameter. Zbl 0548.35094
Robert, Didier
1
1984
Formule de Weyl pour une classe d’opérateurs pseudodifférentiels d’ordre négatif sur \(L^ 2({\mathbb{R}}^ n)\). (Weyl’s formula for pseudodifferential operators of negative order in \(L^ 2({\mathbb{R}}^ n))\). Zbl 0587.47054
Dauge, Monique; Robert, Didier
1
1986
Remarks on time-dependent Schrödinger equations, bound states, and coherent states. Zbl 1322.81036
Robert, D.
1
2004
Comportement semi-classique du spectre des Hamiltoniens quantiques elliptiques. Zbl 0459.35068
Helffer, B.; Robert, D.
1
1980
Asymptotique de la phase de diffusion à haute énergie pour des perturbations du laplacien. (High energy asymptotics of the scattering phase for perturbations of the Laplacian). Zbl 0706.35107
Robert, D.
1
1989
The trace of operators (from Grothendieck to Lidskii). (Sur les traces d’opérateurs (de Grothendieck à Lidskii).) Zbl 1358.47001
Robert, Didier
1
2014
Remarks on a paper of S. Zelditch: ”Szegoe limit theorems in quantum mechanics”. Zbl 0524.35082
Robert, Didier
1
1983
Growth of Sobolev norms for abstract linear Schrödinger equations. Zbl 1460.35307
Bambusi, Dario; Grébert, Benoît; Maspero, Alberto; Robert, Didier
11
2021
Propagation of wave packets for systems presenting codimension one crossings. Zbl 1471.81020
Fermanian-Kammerer, Clotilde; Lasser, Caroline; Robert, Didier
1
2021
Reducibility of the quantum harmonic oscillator in \(d\)-dimensions with polynomial time-dependent perturbation. Zbl 1386.35059
Bambusi, Dario; Grébert, Benoît; Maspero, Alberto; Robert, Didier
44
2018
On time dependent Schrödinger equations: global well-posedness and growth of Sobolev norms. Zbl 1366.35153
Maspero, A.; Robert, D.
33
2017
On the traces of operators (from Grothendieck to Lidskii). Zbl 06793887
Robert, Didier
3
2017
On random Hermite series. Zbl 1357.60047
Imekraz, Rafik; Robert, Didier; Thomann, Laurent
5
2016
Random-weighted Sobolev inequalities on \(\mathbb{R}^d\) and application to Hermite functions. Zbl 1310.81060
Poiret, Aurélien; Robert, Didier; Thomann, Laurent
7
2015
Random weighted Sobolev inequalities and application to quantum ergodicity. Zbl 1341.60074
Robert, Didier; Thomann, Laurent
4
2015
Probabilistic global well-posedness for the supercritical nonlinear harmonic oscillator. Zbl 1322.35190
Poiret, Aurélien; Robert, Didier; Thomann, Laurent
15
2014
The trace of operators (from Grothendieck to Lidskii). (Sur les traces d’opérateurs (de Grothendieck à Lidskii).) Zbl 1358.47001
Robert, Didier
1
2014
Coherent states and applications in mathematical physics. Zbl 1243.81004
Combescure, Monique; Robert, Didier
89
2012
Fermionic coherent states. Zbl 1248.81076
Combescure, Monique; Robert, Didier
4
2012
On the Herman-Kluk semiclassical approximation. Zbl 1206.35212
Robert, Didier
16
2010
Supersymmetry versus ghosts. Zbl 1152.81591
Robert, Didier; Smilga, Andrei V.
12
2008
Propagation of coherent states in quantum mechanics and applications. Zbl 1146.35086
Robert, Didier
10
2007
A phase-space study of the quantum Loschmidt echo in the semiclassical limit. Zbl 1109.81051
Combescure, Monique; Robert, Didier
6
2007
Quadratic quantum Hamiltonians revisited. Zbl 1105.35092
Combescure, Monique; Robert, Didier
6
2006
Semiclassical analysis of a nonlinear eigenvalue problem and nonanalytic hypoellipticity. Zbl 1082.35116
Helffer, Bernard; Robert, Didier; Wang, Xue Ping
1
2004
Nonlinear eigenvalue problems. Zbl 1083.35082
Robert, Didier
1
2004
Remarks on time-dependent Schrödinger equations, bound states, and coherent states. Zbl 1322.81036
Robert, D.
1
2004
Semiclassical propagation on \(|\log \hbar|\) time scales. Zbl 1127.81328
De Bièvre, Stephan; Robert, Didier
6
2003
Uniform semiclassical estimates for the propagation of quantum observables. Zbl 1069.35061
Bouzouina, A.; Robert, D.
36
2002
Rigorous semiclassical results for the magnetic response of an electron gas. Zbl 1027.82003
Combescure, Monique; Robert, Didier
3
2001
The semi-classical Van-Vleck formula. Application to the Aharonov-Bohm effect. Zbl 0979.81040
Bily, J. M.; Robert, D.
2
2001
Remarks on asymptotic solutions for time dependent Schrödinger equations. Zbl 1054.35096
Robert, Didier
2
2001
A proof of the Gutzwiller semiclassical trace formula using coherent states decomposition. Zbl 0939.58031
Combescure, Monique; Ralston, James; Robert, Didier
27
1999
Semiclassical asymptotics for the spectral shift function. Zbl 0922.35108
Robert, Didier
12
1999
Asymptotics of the scattering phase for the Dirac operator: high energy, semi-classical and non-relativistic limits. Zbl 1040.81091
Bruneau, Vincent; Robert, Didier
9
1999
Remarks on the paper of V. Guillemin and K. Okikiolu: “Subprincipal terms in Szegő estimates”. Zbl 0917.58046
Laptev, A.; Robert, D.; Safarov, Yu.
3
1998
Semiclassical spreading of quantum wave packets and applications near unstable fixed points of the classical flow. Zbl 0894.35026
Combescure, M.; Robert, D.
27
1997
Semi-classical approximation in quantum mechanics. A survey of old and recent mathematical results. Zbl 0892.35131
Robert, D.
7
1997
Generalized determinants for Sturm-Liouville problems on the real line. Zbl 0913.35095
Robert, Didier; Sordoni, Vania
1
1997
On the Weyl formula for obstacles. Zbl 0849.35096
Robert, Didier
7
1996
Trace formulas and Dirichlet-Neumann problems with variable boundary: The scalar case. Zbl 0881.47025
Robert, D.; Sordoni, V.
1
1996
Coherent states propagation by the Schrödinger equation and semi-classical approximation. (Propagation d’états cohérents par l’équation de Schrödinger et approximation semi-classique.) Zbl 0860.35104
Combescure, Monique; Robert, Didier
1
1996
Semiclassical sum rules and generalized coherent states. Zbl 0884.47048
Combescure, M.; Robert, D.
2
1995
Relative time-delay for perturbations of elliptic operators and semiclassical asymptotics. Zbl 0813.35073
Robert, Didier
25
1994
Distribution of matrix elements and level spacing for classically chaotic systems. Zbl 0833.58018
Combescure, Monique; Robert, Didier
3
1994
A trace formula for obstacles problems and applications. Zbl 0818.35074
Robert, Didier
1
1994
Asymptotics for high energies of the scattering phase for second order perturbations of the Laplacian. (Asymptotique de la phase de diffusion à haute énergie pour des perturbations du second ordre du Laplacien.) Zbl 0801.35100
Robert, D.
21
1992
On scattering theory for long range perturbations of Laplace operators. Zbl 0813.35072
Robert, D.
7
1992
Quantum scattering theory for long and short range perturbations of the magnetic field. (Théorie de la diffusion quantique pour des perturbations à longue et courte portée du champ magnétique.) Zbl 0780.35091
Nicoleau, François; Robert, Didier
4
1991
Time-delay and spectral density for Stark Hamiltonians. II: Asymptotics of trace formulae. Zbl 0747.35029
Robert, D.; Wang, Xue Ping
4
1991
Asymptotique à grande energie de la phase de diffusion pour un potentiel. (Large energy asymptotic of the diffusion phase for a potential.). Zbl 0737.35054
Robert, Didier
11
1990
Riesz means of bound states and semiclassical limit connected with a Lieb-Thirring’s conjecture. Zbl 0717.35062
Helffer, B.; Robert, D.
11
1990
Riesz means of bounded states and semi-classical limit connected with a Lieb-Thirring conjecture. II. Zbl 0728.35078
Helffer, B.; Robert, D.
8
1990
Breit-Wigner formula for the scattering phase in the Stark effect. Zbl 0705.35093
Klein, Markus; Robert, Didier; Wang, Xue Ping
4
1990
Asymptotic behavior of scattering amplitudes in semi-classical and low energy limits. Zbl 0659.35026
Robert, D.; Tamura, H.
17
1989
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
Existence of time-delay operators for Stark-Hamiltonians. Zbl 0677.35080
Robert, Didier; Wang, Xue Ping
10
1989
Asymptotique de la phase de diffusion à haute énergie pour des perturbations du laplacien. (High energy asymptotics of the scattering phase for perturbations of the Laplacian). Zbl 0706.35107
Robert, D.
1
1989
Semi-classical asymptotics for local spectral densities and time delay problems in scattering processes. Zbl 0663.47009
Robert, D.; Tamura, H.
13
1988
Autour de l’approximation semi-classique. (Around semiclassical approximation). Zbl 0621.35001
Robert, Didier
180
1987
Ergodicité et limite semi-classique. (Ergodicity and semi-classical limit). Zbl 0624.58039
Helffer, B.; Martinez, A.; Robert, D.
62
1987
Semi-classical estimates for resolvents and asymptotics for total scattering cross-sections. Zbl 0648.35066
Robert, Didier; Tamura, Hideo
33
1987
Weyl’s formula for a class of pseudodifferential operators with negative order in \(L^ 2({\mathbb{R}}^ n)\). Zbl 0629.35098
Dauge, Monique; Robert, Didier
5
1987
Analyse semi-classique de l’effet tunnel [d’après B. Helffer et J. Sjöstrand]. (Semiclassical analysis of the tunnel effect). Zbl 0632.35014
Robert, Didier
1
1987
Étude du spectre pour un opérateur globalement elliptique dont le symbole de Weyl présente des symétries. II: Action des groupes de Lie compacts. (Spectral study for a globally elliptic operator the Weyl symbol of which presents symmetries. II: Actions of compact Lie groups). Zbl 0605.58042
Helffer, B.; Robert, D.
11
1986
Formule de Weyl pour une classe d’opérateurs pseudodifférentiels d’ordre négatif sur \(L^ 2({\mathbb{R}}^ n)\). (Weyl’s formula for pseudodifferential operators of negative order in \(L^ 2({\mathbb{R}}^ n))\). Zbl 0587.47054
Dauge, Monique; Robert, Didier
1
1986
Asymptotique semi-classique du spectre d’hamiltoniens quantiques et trajectoires classiques périodiques. Zbl 0574.35067
Petkov, Vesslin; Robert, Didier
20
1985
Puits de potentiel généralisés et asymptotique semi-classique. (Generalized potential wells and semiclassical asymptotic). Zbl 0565.35082
Helffer, B.; Robert, D.
32
1984
Semi-classical bounds for resolvents of Schrödinger operators and asymptotics for scattering phases. Zbl 0561.35021
Robert, Didier; Tamura, Hideo
21
1984
Étude du spectre pour un opérateur globalement elliptique dont le symbole de Weyl présente des symétries. I: Action des groupes finis. (Study of the spectrum of a global elliptic operator whose Weyl symbol shows symmetries. I: Action of finite groups). Zbl 0583.58029
Helffer, Bernard; Robert, Didier
8
1984
Nonlinear eigenvalues problems with a small parameter. Zbl 0548.35094
Robert, Didier
1
1984
Calcul fonctionnel par la transformation de Mellin et opérateurs admissibles. Zbl 0524.35103
Helffer, B.; Robert, D.
93
1983
Remarks on a paper of S. Zelditch: ”Szegoe limit theorems in quantum mechanics”. Zbl 0524.35082
Robert, Didier
1
1983
Propriétés asymptotiques du spectre d’opérateurs pseudodifferentiels sur \(R^ n\). Zbl 0501.35081
Helffer, Bernard; Robert, Didier
40
1982
Asymptotique des niveaux d’energie pour des Hamiltoniens à un degré de liberte. Zbl 0519.35063
Helffer, B.; Robert, D.
23
1982
Comportement asymptotique des valeurs propres d’opérateurs du type Schrödinger à potentiel ”dégénérée”. Zbl 0511.35069
Robert, Didier
19
1982
Calcul fonctionnel sur les opérateurs admissibles et application. Zbl 0482.35069
Robert, Didier
11
1982
Comportement semi-classique du spectre des hamiltoniens quantiques hypoelliptiques. Zbl 0507.35066
Helffer, B.; Robert, D.
7
1982
Comportement semi-classique du spectre des hamiltoniens quantiques elliptiques. Zbl 0451.35022
Robert, D.; Helffer, B.
41
1981
Comportement asymptotique precise du spectre d’opérateurs globalement elliptiques dans \(R^ n\). Zbl 0503.35070
Helffer, B.; Robert, D.
7
1981
Comportement asymptotique precise du spectre d’opérateurs globalement elliptiques dans \(R^ n\). Zbl 0467.35074
Helffer, Bernard; Robert, Didier
6
1981
Comportement semi-classique du spectre des hamiltoniens quantiques hypoelliptiques. Zbl 0465.35025
Helffer, Bernard; Robert, Didier
3
1981
Sur un problème aux valeurs propres non linéaire. Zbl 0444.35065
Pham The Lai; Robert, D.
20
1980
Comportement semi-classique du spectre des Hamiltoniens quantiques elliptiques. Zbl 0459.35068
Helffer, B.; Robert, D.
1
1980
Sur un problème aux valeurs propres non linéaire. Zbl 0413.35060
Pham The Lai; Robert, D.
1
1979
Valeurs propres d’une classe d’équations différentielles singulieres sur une demi-droite. Zbl 0422.35062
Lai, Pham The; Robert, D.
1
1979
Propriétés spectrales d’opérateurs pseudo-différentiels. Zbl 0392.35056
Robert, D.
44
1978
Développement asymptotique du noyau resolvant d’opérateurs elliptiques. Zbl 0393.35022
Robert, Didier
2
1978
Sur les opérateurs linéaires qui transforment la boule unite d’un espace de Banach en une partie latticiellement bornee d’un espace de Banach reticule. Zbl 0331.46008
Robert, Didier
3
1976
Invariants orthogonaux pour certaines classes d’operateurs. (Orthogonal invariants for certain classes of operators). Zbl 0226.47017
Robert, Didier
10
1973
all top 5

Cited by 658 Authors

39 Robert, Didier
36 Helffer, Bernard
17 Sjöstrand, Johannes
17 Wang, Xueping
16 Nourrigat, Jean Francois
14 Martinez, André
12 Tamura, Hideo
11 Bambusi, Dario
11 Gérard, Christian
11 Uribe, Alejandro
10 Amour, Laurent
10 Camus, Brice
10 Maspero, Alberto
10 Montalto, Riccardo
9 Bony, Jean-François
9 Dimassi, Mouez
9 Nakamura, Shu
9 Senoussaoui, Abderrahmane
9 Zworski, Maciej
8 Natalini, Pierpaolo
8 Paul, Thierry
8 Petkov, Vesselin M.
8 Ricci, Paolo Emilio
8 Zanelli, Lorenzo
8 Zelditch, Steve
7 Bruneau, Vincent
7 Burq, Nicolas
7 Fournais, Søren
7 Himonas, A. Alexandrou
7 Lasser, Caroline
7 Nicola, Fabio
7 Parmeggiani, Alberto
7 Rivière, Gabriel
7 Wang, Xue Ping
6 Fermanian-Kammerer, Clotilde
6 Frank, Rupert L.
6 Imekraz, Rafik
6 Jager, Lisette
6 Klein, Markus
6 Nier, Francis
6 Ramond, Thierry
6 Raymond, Nicolas
6 Ruzhansky, Michael V.
6 Solovej, Jan Philip
6 Thomann, Laurent
5 Charbonnel, Anne-Marie
5 Cordero, Elena
5 Fujiié, Setsuro
5 Graffi, Sandro
5 Grébert, Benoît
5 Guillemin, Victor W.
5 Langella, Beatrice
5 Macià, Fabricio
5 Morame, Abderemane
5 Nicoleau, François
5 Ohsawa, Tomoki
5 Ramacher, Pablo
5 Sobolev, Alexander V.
5 Yafaev, Dimitri R.
4 Ammari, Zied
4 Bagarello, Fabio
4 Bouclet, Jean-Marc
4 Brummelhuis, Raymond
4 Carles, Rémi
4 Cassanas, Roch
4 Christ, Michael
4 Colin de Verdière, Yves
4 Cornean, Horia D.
4 Eswarathasan, Suresh
4 Hassell, Andrew
4 Keller, Johannes
4 Levendorskiĭ, Sergeĭ Zakharovich
4 Lewin, Mathieu
4 Liang, Zhenguo
4 Lu, Jianfeng
4 Masterov, Ivan
4 Nonnenmacher, Stéphane
4 Petronilho, Gerson
4 Procesi, Michela
4 Rougerie, Nicolas
4 Sordoni, Vania
4 Sun, Yingte
4 Tzvetkov, Nikolay
4 Vũ Ngọc, San
4 Zerzeri, Maher
3 Alexandrova, Ivana
3 Bal, Guillaume
3 Bényi, Árpád
3 Boggiatto, Paolo
3 Bonnaillie-Noël, Virginie
3 Briet, Philippe
3 Capoferri, Matteo
3 Castella, François
3 Christiansen, Tanya J.
3 Combescure, Monique
3 Davies, Edward Brian
3 De Bièvre, Stephan
3 de Gosson, Maurice Alexis
3 Delgado, Julio
3 Duclos, Pierre
...and 558 more Authors
all top 5

Cited in 170 Serials

68 Journal of Functional Analysis
59 Communications in Mathematical Physics
42 Journal of Mathematical Physics
40 Communications in Partial Differential Equations
31 Annales de l’Institut Henri Poincaré. Physique Théorique
26 Annales de l’Institut Fourier
26 Journal of Differential Equations
26 Annales Henri Poincaré
18 Duke Mathematical Journal
15 Reviews in Mathematical Physics
14 Journal de Mathématiques Pures et Appliquées. Neuvième Série
13 Journal of Spectral Theory
11 Journal of Mathematical Analysis and Applications
11 Advances in Mathematics
11 Comptes Rendus. Mathématique. Académie des Sciences, Paris
9 Letters in Mathematical Physics
9 Proceedings of the American Mathematical Society
8 Annals of Physics
8 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
7 Transactions of the American Mathematical Society
7 Mémoires de la Société Mathématique de France. Nouvelle Série
6 Archive for Rational Mechanics and Analysis
6 Journal d’Analyse Mathématique
6 Journal of Statistical Physics
6 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV
6 Functional Analysis and its Applications
6 Mathematische Nachrichten
6 SIAM Journal on Mathematical Analysis
5 Communications on Pure and Applied Mathematics
5 Annali di Matematica Pura ed Applicata. Serie Quarta
5 Mathematische Zeitschrift
5 Russian Journal of Mathematical Physics
5 Journal of Pseudo-Differential Operators and Applications
4 Nonlinearity
4 Arkiv för Matematik
4 Integral Equations and Operator Theory
4 Inventiones Mathematicae
4 Annales de la Faculté des Sciences de Toulouse. Série V. Mathématiques
4 Journal of Dynamics and Differential Equations
4 St. Petersburg Mathematical Journal
4 The Journal of Fourier Analysis and Applications
4 Mathematical Physics, Analysis and Geometry
4 Journal of the European Mathematical Society (JEMS)
4 Journal of High Energy Physics
4 Quantum Information Processing
3 Modern Physics Letters A
3 Reports on Mathematical Physics
3 Theoretical and Mathematical Physics
3 Journal of Geometry and Physics
3 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
3 Bulletin de la Société Mathématique de France
3 Journal of Soviet Mathematics
3 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
3 Rendiconti del Seminario Matematico della Università di Padova
3 Siberian Mathematical Journal
3 Acta Applicandae Mathematicae
3 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni
3 The Journal of Geometric Analysis
3 Potential Analysis
3 Applied and Computational Harmonic Analysis
3 Analysis & PDE
3 Journal de l’École Polytechnique – Mathématiques
2 Applicable Analysis
2 Classical and Quantum Gravity
2 Computers & Mathematics with Applications
2 International Journal of Theoretical Physics
2 Israel Journal of Mathematics
2 Nuclear Physics. B
2 Wave Motion
2 Acta Mathematica
2 Journal of Computational and Applied Mathematics
2 Journal of the Mathematical Society of Japan
2 Mathematische Annalen
2 Monatshefte für Mathematik
2 Nagoya Mathematical Journal
2 Publications of the Research Institute for Mathematical Sciences, Kyoto University
2 Bulletin of the American Mathematical Society. New Series
2 Calculus of Variations and Partial Differential Equations
2 Journal of Mathematical Sciences (New York)
2 Turkish Journal of Mathematics
2 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
2 Communications in Contemporary Mathematics
2 Multiscale Modeling & Simulation
2 Foundations of Physics
2 Analysis and Mathematical Physics
2 Annales Mathématiques du Québec
2 Séminaire Laurent Schwartz. EDP et Applications
2 Transactions of the American Mathematical Society. Series B
2 Annales Henri Lebesgue
1 Journal of Computational Physics
1 Mathematical Methods in the Applied Sciences
1 Mathematical Notes
1 Physica A
1 Physics Letters. A
1 Russian Mathematical Surveys
1 ZAMP. Zeitschrift für angewandte Mathematik und Physik
1 American Journal of Mathematics
1 Applied Mathematics and Computation
1 Applied Mathematics and Optimization
1 Automatica
...and 70 more Serials
all top 5

Cited in 49 Fields

507 Partial differential equations (35-XX)
419 Quantum theory (81-XX)
176 Operator theory (47-XX)
100 Global analysis, analysis on manifolds (58-XX)
72 Dynamical systems and ergodic theory (37-XX)
44 Statistical mechanics, structure of matter (82-XX)
39 Differential geometry (53-XX)
32 Ordinary differential equations (34-XX)
32 Functional analysis (46-XX)
26 Mechanics of particles and systems (70-XX)
22 Probability theory and stochastic processes (60-XX)
18 Numerical analysis (65-XX)
14 Special functions (33-XX)
13 Topological groups, Lie groups (22-XX)
12 Harmonic analysis on Euclidean spaces (42-XX)
11 Optics, electromagnetic theory (78-XX)
11 Relativity and gravitational theory (83-XX)
10 Number theory (11-XX)
9 Measure and integration (28-XX)
9 Fluid mechanics (76-XX)
8 Several complex variables and analytic spaces (32-XX)
7 Combinatorics (05-XX)
7 Integral equations (45-XX)
7 Calculus of variations and optimal control; optimization (49-XX)
7 Systems theory; control (93-XX)
6 Information and communication theory, circuits (94-XX)
5 Real functions (26-XX)
4 Linear and multilinear algebra; matrix theory (15-XX)
4 Nonassociative rings and algebras (17-XX)
4 Integral transforms, operational calculus (44-XX)
4 Statistics (62-XX)
3 Algebraic geometry (14-XX)
3 Functions of a complex variable (30-XX)
3 Potential theory (31-XX)
3 Abstract harmonic analysis (43-XX)
3 Biology and other natural sciences (92-XX)
2 History and biography (01-XX)
2 \(K\)-theory (19-XX)
2 Sequences, series, summability (40-XX)
2 Approximations and expansions (41-XX)
2 Mechanics of deformable solids (74-XX)
1 General and overarching topics; collections (00-XX)
1 Mathematical logic and foundations (03-XX)
1 Group theory and generalizations (20-XX)
1 Difference and functional equations (39-XX)
1 Manifolds and cell complexes (57-XX)
1 Computer science (68-XX)
1 Geophysics (86-XX)
1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)

Citations by Year