Handbook of Mathematical functions with formulas, graphs and mathematical tables, pp.255-258, 1972. ,
Majoration de multiplicités pour l'opérateur de Schrödinger, pp.53-60, 1989. ,
Mathematical Methods of Classical Mechanics, N. 60 in GTM, 1989. ,
Chapitres supplémentaires sur les EDO, 1980. ,
Fractional revivals : universality in the long-term evolution of quantum wave packets beyond the correspondance principle dynamics, Physics Letters A, vol.139, pp.449-453, 1989. ,
A short course on spectral theory, Graduate Texts in Mathematics, 2001. ,
An invitation to C*-Algebras, 1976. ,
The topology of torus action on symplectic manifolds, Progress in Math, Birkhäuser, 1991. ,
DOI : 10.1007/978-3-0348-7221-8
Les systèmes hamilitoniens et leurs intégrabilité, 2001. ,
Lectures on the geometry of quantization, Berkeley Mathematics Lecture Notes, 1997. ,
Variétés riemanniennes isospectrales non isométriques, Astérisque, vol.177178, pp.127-154, 1989. ,
On ne peut pas entendre la forme d'un tambour : Introduction On ne peut pas entendre la forme d'un tambour : Exposé 1, [Ber7] P. BERARD, On ne peut pas entendre la forme d'un tambour : Exposé, 1983. ,
Le spectre d'une variété Riemannienne, Lectures Notes in Mathematics, vol.194, 1971. ,
DOI : 10.1007/bfb0064646
Some quantum-to-classical asymptotics, pp.251-303 ,
Sur la multiplicité de la première valeur propre des surfaces riemanniennes, Ann. Inst. Fourier, vol.30, pp.109-128, 1980. ,
Propagation d'états cohérents et applications, 2001. ,
The evolution and revival structure of localized quantum wave packets, American Journal of Physics, vol.64, issue.944, 1996. ,
Long term evolution and revival structure of Rydberg wave packets for hydrogen and alkali-metal atoms, Phys. Rev, vol.51, pp.4767-4786, 1995. ,
The spectral theory of Toeplitz operators, 99 in Annals of Mathematicals, 1981. ,
Spectral estimates around a critical level, Duke Math, J, vol.78, issue.3, pp.477-530, 1995. ,
Sur la théorie mathématique de l'équation de Schrödinger, Ark. Mat. Astr. Fys. 24B, vol.11, pp.1-7, 1934. ,
Introduction aux problèmes mathématiques de la mécanique quantique, 1971. ,
An introduction to diophantine approximation, Cambridge Tracts, 1957. ,
Spectral asymptotics via the semiclassical birkhoff normal form, math, p.605096 ,
Eingenvalues comparison theorems and geometric applications, Math. Z, vol.143, pp.289-290, 1975. ,
Eingenfunctions and nodal sets, Comment. Math. Helv, vol.51, pp.43-55, 1979. ,
Spectre du Laplacien et longueurs des géodésiques périodiques I, Compositio Mathematica, vol.27, pp.80-106, 1973. ,
Spectre du Laplacien et longueurs des géodésiques périodiques II, Compositio Mathematica, vol.27, pp.159-184, 1973. ,
Spectre conjoint d'opérateurs pseudodifférentiels qui commute II, Math. Z, vol.71, pp.51-73, 1980. ,
Construction de laplaciens dont une partie finie du spectre est donnée Equilibre instable en régime semi-classique I : Concentration microlocale, Ann. Sci. Ec. Norm. Sup. Paris Comm PDE, vol.20, issue.19, pp.599-615, 1987. ,
Equilibre instable en régime semi-classique II : Conditions de Bohr-Sommerferld, pp.347-367, 1994. ,
Le spectre du laplacien : survol partiel depuis le Berger-Gauduchon-Mazet et problèmes, Actes de la table tournante en l'honneur de Marcel Berger, Séminaires et Congrés SMF, vol.1, pp.233-252, 1996. ,
The microlocal Landau-Zener formula, pp.95-127, 1999. ,
URL : https://hal.archives-ouvertes.fr/hal-00961343
Singular Bohr-Sommerfeld rules, Commun. Math. Phys, vol.205, pp.459-500, 2000. ,
Bohr-Sommerfeld rules to all orders , Henri Poincaré Acta, pp.925-936, 2005. ,
Méthodes semi-classique et théorie spectrale, 2006. ,
Spectrum of the Laplace operator and periodic geodesics : thirty years after, Ann. Inst. Fourier, vol.57, issue.7, pp.2429-2463, 2008. ,
Semi-classical Analysis of Integrable Systems, 2008. ,
A phase study of the quantum Loschmidt Echo in the semi-classical limit, [arXiv : quant, 2005. ,
Methods of mathematical physics, 1953. ,
Semi-classical propagation on log(¯ h) time scales, Int. Math. Res. Not, No, vol.12, pp.667-696, 2003. ,
Existence of star-produit and a formal deformations of the Poisson Lie algebra of arbitrary symplectic manifolds, Lett. Math.Phys, vol.7, pp.487-496, 1983. ,
Spectral asymptotics in the semi-classical limit, Math Society Lectures Note Series 268, 1999. ,
Fourier integral operators II, Acta Math, vol.128, pp.183-269, 1972. ,
Hamiltonians systems withs Poisson commuting integrals, 1984. ,
Normals forms for hamiltonians systems withs Poisson commuting integrals -elliptic case, Comment. Math. Helv, vol.65, pp.4-35, 1990. ,
The canonical transformation of pseudodifferential operators, pp.235-236, 1969. ,
Lectures on semiclassical analysis ,
Beweis, dass unter allen homogen Menbranen von gleicher Fläche ung gleicher Spannung die kriesförmige den tiefsten Grundton gibt, pp.169-172, 1923. ,
Harmonic analysis in phase plane, 1989. ,
Integrability and Nonintegrability in Geometry and Mechanics, 1988. ,
DOI : 10.1007/978-94-009-3069-8
Spektraltheorie halbbeschränkter Operatoren und Anwendung auf die Spektralzerlegung von Differentialoperatoren, Math. Ann, vol.109, pp.465-487, 1934. ,
Breit-Wigner formula at barrier tops, J. Math. Phys, vol.44, issue.5, pp.1971-1983, 2003. ,
Precise estimates of tunneling and eigenvalues near a potential barrier, Journal of Differential Equation, vol.72, pp.149-177, 1988. ,
Chaos et physique théorique, Les Houches, école d'été de physique théorique 1989, session LII ,
Isospectral deformations on compact manifolds, J. Diff. Geom, vol.19, pp.241-256, 1984. ,
Isospectral plane domains and surfaces via Riemannian orbifolds, Inventiones Mathematicae, vol.121, issue.2, pp.1-22, 1992. ,
DOI : 10.1007/BF01231320
One Cannot Hear the Shape of a Drum, Bulletin of the American Mathematical Society, vol.27, issue.1, pp.134-138, 1992. ,
DOI : 10.1090/S0273-0979-1992-00289-6
Isospectral closed riemannian manifolds which are not localy isometric, J. Diff. Geom, vol.37, pp.639-649, 1993. ,
Microlocal analysis and differential operators , an introduction, London Math Society Lectures Note Series 196, 1994. ,
Pseudo-holomorphic curves in symplectic manifolds, Invent. Math, vol.82, 1985. ,
Intégration analyse hilbertienne, Ellipses, 1989. ,
Puit de potentiel généralisé et asymptotique semi-classique, Annales de l'IHP Physique Théorique, pp.291-331, 1984. ,
Multiple wells in the semi-classical limit I, Comm. in Partial Differential Equation, vol.9, issue.4, pp.337-408, 1984. ,
Semiclassical analysis of Harper's equation The weyl calculus of pseudodifferential operators, Hor1] L. HÖRMANDER, pp.360-444, 1979. ,
The analysis of linear partial differential operators, pp.1983-90 ,
Can One Hear the Shape of a Drum?, The American Mathematical Monthly, vol.73, issue.4, pp.1-23, 1966. ,
DOI : 10.2307/2313748
Schr??dinger operators with singular potentials, Israel Journal of Mathematics, vol.55, issue.1-2, pp.135-148, 1972. ,
DOI : 10.1007/BF02760233
Pertubation theory for linears operators, 1980. ,
Discreteness of the spectrum for Schrödinger operators on manifolds of bounded, geometry Functional Analysis, Partial Differential Equations and Applications, Proceedings of the conference, 1998. ,
Conditions for the discreteness of the spectrum for Schrödinger operators on manifolds, Funct. Anal. and Appl, vol.33, 1999. ,
Deformation quantization of Poisson manifolds, I, Preprint of the IHES [arxiv : q-alg, 1997. ,
Spectre du Laplacien et de l'opérateur de Schrödinger sur une variété : de la géométrie spectrale à l'analyse semi-classique, Gazette des Mathématiciens, p.116, 2008. ,
Sur le spectre semi-classique d'un système intégrable de dimension 1 autour d'une singularité hyperbolique, Ann. Fac. Sci. Toulouse Math., vol, vol.19, issue.1, pp.85-123, 2010. ,
Calcul différentiel et intégral, Editions de l'école polytechnique, 2000. ,
Multilevel quantum beats: An analytical approach, Physical Review A, vol.54, issue.6, pp.5299-5312, 1996. ,
DOI : 10.1103/PhysRevA.54.5299
An introduction to Semiclassical and Microlocal Analysis, 2001. ,
Spectral Asymptotics for Hill's Equation nera the potential maximum, Asymptotics Analysis, vol.5, pp.221-267, 1992. ,
Introduction to symplectic topology, 1995. ,
Eingenvalues of the Laplace operator on certain manifolds, Proceedings of the National Academy of Sciences of the United States of America, vol.51, p.542, 1964. ,
On symplectic linearization of singular Lagragian foliation, 2003. ,
The Analytic Invariants of an Area-Preserving Mapping Near a Hyperbolic Fixed Point, Comm. on pure an d applied math, pp.673-692, 1956. ,
Multiple eigenvalues of the Laplace operator, Math. USSR Sbornik, vol.61, pp.225-238, 1988. ,
On the essential self-adjointness of the Schrödinger operators on a complete Riemannian manifold, Math. Notes, vol.54, pp.934-939, 1993. ,
On the connection of the classical and quantum mechanical completeness of a potential at infinity on complete Riemannian manifolds, Mathematical Notes, vol.60, issue.No. 1, pp.380-386, 1994. ,
DOI : 10.1007/BF02112477
On the essential self-adjointness of the Schrödinger-type operators on a complete Riemannian manifold, 1997. ,
Echelles de temps pour l'évolution quantique à petite constante de planck, Séminaire X-EDP, 2007. ,
Reconstruction and non-reconstruction of wave packets, 2008. ,
Reconstruction of wave packets on a hyperbolic trajectory, 2008. ,
Semiclassical study of quantum scattering on the line, Comm. Math. Phys, vol.177, pp.221-254, 1996. ,
Methods of modern mathematical physics, 1975. ,
Autour de l'approximation semi-classique, Progress in Mathematics, vol.68, 1987. ,
Revivals of wave packets and Bohr-Sommerfeld quantization rules, Adventures in mathematical physics, Contemp. Math, vol.447, pp.219-235, 2007. ,
Propagation of coherent states in quatum mechanics and application , proc. CIMPA, 2005. ,
Quantum wave packet revivals Physics Reports, Robi2] R. W. ROBINNET, Wave packets revivals and quasirevivals in onedimesionnal power law potentials, pp.1-119, 2000. ,
Microlocal analysis for the periodic magnetic Schrödinger equation and related questions, Microlocal analysis and applications (Montecatini Terme, Lect. Notes in Math, 1495. ,
Density of states oscillations for magnetic Schr??dinger operators, Math. Sci. Engrg, vol.186, pp.295-345, 1990. ,
DOI : 10.1016/S0076-5392(08)63387-1
Majoration topologique de la multiplicité du spectre des surfaces, pp.29-35, 1993. ,
Riemannian covering and isospectral manifolds, Ann. of Math, vol.121, pp.169-186, 1985. ,
Noncommutative harmonic analysis, Mathematical Surveys and Monographs, 1986. ,
Sur le spectre des systèmes complètement intégrables semiclassiques avec singularités, 1998. ,
Formes normales semi-classiques des systèmes complètement intégrables au voisinage d'un point critique de l'application moment Asymptotic analysis, pp.3-4319, 2000. ,
Bohr-Sommerfeld conditions for integrable systems with critical manifolds of focus-focus type, Comm. Pure and Applied Math, vol.53, issue.2, pp.143-217, 2000. ,
Systèmes intégrables semi-classiques : du local au global, Panoramas et synthèses 22, 2006. ,
On the algebraic problem concerning the normal form of linear dynamical systems, Amer. J. Math, vol.58, issue.1, pp.141-163, 1936. ,
Spectral determination of analytic bi-axisymmetric plain domains, Geom. And Func. Ana, vol.10, pp.628-677, 2000. ,