RESEARCH INTERESTS 

  Spectral Analysis of Partial Differential Operators.
  Semiclassical and Born-Oppenheimer Approximations.
  Direct and Inverse Quantum Scattering.
   Many-Body Schrödinger Operators.

 For more informations, please see MathSCI Net.

SOME ARTICLES

•  Microlocal estimates of the Schrödinger equation in semi-classical limit. Preprint 2006, 52 pages.
• Asymptotic expansion in time of the Schrödinger group on conical manifolds. Ann. Inst. Fourier, Grenoble, 2006.
• Embedded eigenvalues and resonances of Schrödinger operators with two channels. Ann. Fac. Sci., Toulouse , 2006.
• (with P. Zhang ) High frequency limit of the Helmholtz equation with variable refraction index. J. Funct. Analysis, , 230(2006), 116-168.
• (with Yuefei Wang ) Existence of two-cluster threshold resonances and the N-body Efimov effect.J. Math. Phys., 46(2005), no. 11, 112106, 12 pp.
• Semi-classical measures and the Helmholtz equation. Cubo A Matheamtical Journal, 7(1) (2005), 71-97.
• (with A. Vasy) Inverse scattering with fixed energy for dilation-analytic potentials. Inverse Problems, 20(4) (2004), 1349-1354.
• Threshold energy resonance in geometric scattering. Matematica Contemporanea, 26 (2004), 135-164.
• (with B. Helffer and D. Robert ) Semiclassical analysis of a nonlinear eigenvalue problem and non analytic hypoellipticity, Algebra i Analiz, 16(1) (2004) 320-334.
• On the existence of the N-body Efimov effect, J. of Funct. Analysis , 209(2004), 137-161.
• Asymptotic behavior of resolvent for N-body Schrödinger operators near a threshold, Ann. Henri Poincaré , 4(2003), 553-600.
• (with A. Vasy) Smoothness and high energy asymptotics of the spectral shift function in many-body scattering , Commun. in Partial Diff. Equations , Vol. 11/12 (2002), 2138-2185.
• (with T. Jecko and M. Klein) On the finiteness and semiclassical asymptotics of total cross-section in ion-atom scattering, Long Time Behaviour of Classical and Quantum Systems, Proceedings of the Bologna APTEX International  Conference 1999, World Scientific 2001.
• Inverse Scattering Related to Channel Scattering Operators, published in Asymptotic Analysis, 18(1998), 147-164.
• (with M. Klein and A. Martinez ) On the Born-Oppenheimer Approximation of Wave Operators II. Singular Potentials, Journal of Math. Physics, 38(3), 1997.
• High Energy Asymptotics for N-body Scattering Matrices with Arbitrary Scattering Channels, Annales de l'I.H.P., 65(1)(1996), 81-108.
• On the Uniqueness of Inverse Scattering of N-body Schroedinger Operators, Inverse Problems, 10(1994), 765-784
• Total Cross Sections in N-body Problems: Finiteness and High Energy Asymptotics, Commun. in Math. Phys., 156(1993), 333-354.
• (with D. Robert ) Pointwise Semiclassical Asymptotics for Total Cross Sections in N-body Problems, pp 181-196 in Lecture Notes in Pure and Applied Mathematics, Vol. 161, 1994.
• Microlocal Resolvent Estimates for N-body Schroedinger Operators,   J. of Faculty Sc., Univ. Tokyo, 40(2) (1993), 337-385.
• Barrier Resonances in Strong Magnetic Field, Commun. in P.D.E., 17(1992), 1539-1566.
• (with M. Klein and A. Martinez ) On the Born-Oppenheimer Approximation of Wave Operators in Molecular Scattering, Commun. in Math. Physics, 152(1993), 73-95.
• On the Magnetic-Stark Resonances in Two Dimensional Case, pp 211-233 in Lecture Notes in Physics, Vol. 403, ed. E. Balslev, Springer, 1992.
 
 

Summer School of C.I.M.P.A., July 19-30, 2004, Lanzhou, China

 Partial Differential Equations and Applications 

Proceedings of the School.  Some  Pictures (1, 2, 3)

Colloque en l'honneur de Didier Robert, 22-24 mai 2006, Nantes

 Analyse spectrale en physique mathématique

  L'affiche du colloque en PDF. Quelques photos (1, 2, 3)

  If you have any problem to download the files, please contact me.