Page professionnelle de Laurent Amour

Publications

    Prépublications - Preprint arXiv

  1. Amour Laurent, Jean Nourrigat, Classical and quantum energies for interacting magnetic systems, arXiv:2007.06033, (2020)
  2. Amour Laurent, Lisette Jager, Jean Nourrigat, Quantum radiative corrections for a model in NMR in quantum electrodynamics , arXiv:1709.02771 (2017)
  3. Amour L., J. Nourrigat, Hamiltonian systems and semiclassical dynamics for interacting spins in QED , arXiv:1512.08429 (2015)
  4. Amour L., J. Nourrigat, Semiclassical expansion of the ground state for a model of interacting spins in QED , arXiv:1603.08439 (2016)

    5. Articles publiés

  5. Amour Laurent, Jean Nourrigat, Lindblad approximation and spin relaxation in quantum electrodynamics , J. Phys. A, 53 (2020), 245204-245222.
  6. Amour Laurent, Lisette Jager, Jean Nourrigat, Composition of states and observables in Fock spaces , Rev. Math. Phys., 32 (2020) 29 pp.
  7. Amour Laurent, Nicolas Lerner, Jean Nourrigat, On the anti-Wick symbol as a Gelfand-Shilov generalized function , Proc. Amer. Math. Soc., 148 (2020), 2909–2914.
  8. Amour Laurent, Lisette Jager, Jean Nourrigat, Ground state photon number at large distance , Rep. Math. Phys. 85 (2020), 227–238.
  9. Amour L., J. Nourrigat, Integral formulas for the Weyl and anti-Wick symbols , J. Math. Pures Appl. , 9 (2019), 288-300.
  10. Amour Laurent, Lisette Jager, Jean Nourrigat, Infinite dimensional semiclassical analysis and applications to a model in NMR , J. Math. Phys.,60 (2019), 25 pages.
  11. Amour L, R. Lascar, J. Nourrigat, Weyl calculus in Wiener spaces and in QED , J. Pseudo-Differ. Oper. Appl. , 10 (2019), 1-47.
  12. Amour L., R. Lascar, J. Nourrigat, Beals characterization of pseudodifferential operators in Wiener spaces , Appl. Math. Res. Express , (2017), 242–270.
  13. Amour L., R. Lascar, J. Nourrigat, Weyl calculus in QED I. The unitary group. , J. Math. Phys. , 58 (2017).
  14. Amour L., J. Nourrigat, Weyl composition of symbols in large dimension, J. d'Anal. Math., 130 (2016), 375-392.
  15. Amour Laurent, Lisette Jager, Jean Nourrigat, On bounded pseudodifferential operators in Wiener spaces , J. Funct. Anal., 269 (2015), 2747-2812
  16. L. Amour, L. Jager and J. Nourrigat, The Weyl symbol of Schrôdinger semigroups, Ann. H. Poincaré, 16, (2015), 1479-1488.
  17. Amour Laurent, Lisette Jager, Jean Nourrigat, Lower bounds for pseudodifferential operators with a radial symbol, J. Math. P. Appl. , 103 (2015), 1157-1162.
  18. Amour Laurent, Lisette Jager, Jean Nourrigat, On bounded pseudodifferential operators in a high-dimensional setting, Proc. of the AMS , 143 (2015), 2057-2068.
  19. Amour L., The kappa x mu coordinates system for the AKNS operators on the unit interval, Math. Phys. Anal. Geom., 83-93 (2014).
  20. Amour L., J. Faupin, Inverse spectral results in Sobolev spaces for the AKNS operators with partial informations on the potential, Inverse Probl. Imaging, 7, 1115-1122, (2013).
  21. Amour L., M. Khodja, J. Nourrigat, The classical limit of the time dependent Hartree-Fock equation. I. The Weyl symbol of the solution, Anal. PDE 6 (2013), no. 7, 1649-167.
  22. Amour L., M. Khodja, J. Nourrigat, The semi-classical limit of the time dependent Hartree-Fock equation. II. The Wick symbol of the solution, Math. Res. Letter 20 (2013), no. 1, 119-139.
  23. Amour L., M. Khodja, J. Nourrigat, Approximative composition of Wick symbols and applications to the time dependent Hartree-Fock equation, Asymptotic Analysis 85 (2013), no. 3/4 229-248.
  24. Amour L. and J. Faupin, Hyperfine splitting in non-relativistic QED: Uniqueness of the dressed hydrogen atom ground state, Comm. Math. Phys., 319, 425-450, (2013)
  25. Amour L., Explicit isospectral flows associated to the AKNS operator on the unit interval. II, J. Math. Phys., 53, 102107 (2012).
  26. Amour L. , J. Faupin, Hyperfine splitting for Hydrogen in non relativistic QED, Rev. Math. Phys., 23, 553-574 (2011).
  27. Amour L., Faupin, Inverse spectral results for Schrôdinger operators in Sobolev spaces, Int. Math. Res. Notes, 4319-4333 (2010).
  28. Amour Laurent, Pierre Lévy-Bruhl, Jean Nourrigat, Dynamics and Lieb-Robinson estimates for lattices of interacting anharmonic oscillators, Colloq. Math. 118 (2010), no. 2, 609ñ648.
  29. Amour Laurent, Faupin Jérémy, Grébert Benoît, Guillot Jean-Claude, On the Infrared Problem for the Dressed Non-Relativistic Electron in a Magnetic Field, Contemporary Mathematics, 500 (2009), 1-23.
  30. Amour Laurent, Explicit isospectral flows for the AKNS operator on the unit interval, Inverse Problems, 25, 095008, (2009).
  31. Amour L., Faupin J., Raoux T., Inverse Spectral Results for Schrôdinger Operators on the Unit Interval with Partial Informations Given on the Potentials, J. Math. Phys., 50 (2009).
  32. Amour Laurent, Faupin Jérémy, Grébert Benoît, Guillot Jean-Claude, Le problème infrarouge pour l'électron habillé non relativiste dans un champ magnétique, C. R. Math. Acad. Sci. Paris, 346, (2008), n∞19-20, 1045-1050.
  33. Amour Laurent, Thierry Raoux, Inverse spectral theory for Schrôdinger operators in Lp spaces, Inverse Problems 23 (2007), 2367î2373.
  34. Amour Laurent, Claudy Cancelier, Pierre Lévy-Bruhl, Jean Nourrigat, Decay of quantum correlations in a lattice by heat kernel methods, Ann. Henri Poincaré 8 (2007), 1469î1506.
  35. Amour Laurent, Jéremy Faupin, The confined hydrogenoid ion in non relativistic quantum electrodynamic, Cubo A math. J. 9 (2007), no.2, 103î137.
  36. Amour Laurent, Grébert Benoît, Guillot Jean-Claude, A mathematical model for the Fermi weak interactions, Cubo A math. J. 9 (2007), no.2, 37î57.
  37. Amour Laurent, Grébert Benoît, Guillot Jean-Claude, The dressed mobile atoms and ions, J. Math. Pures Appl. (9) 86 (2006), no. 3, 177î200.
  38. Amour, Laurent, Faupin Jérémy, L'ion hydrogénoïde piégé en électrodynamique quantique non relativiste, C. R. Math. Acad. Sci., Paris 343 (2006), no. 1, 27--30.
  39. Amour Laurent, Grébert Benoît, Guillot Jean-Claude, The dressed nonrelativistic electron in a magnetic field, Math. Methods Appl. Sci. 29 (2006), no. 10, 1121--1146.
  40. Amour Laurent, Grébert Benoît, Guillot Jean-Claude, L'électron habillé non relativiste dans un champ magnétique, C. R. Math. Acad. Sci. Paris, 340 (2005), no. 6, 421--426.
  41. Amour Laurent, Cancelier Claudy, Levy-Bruhl, Pierre, Nourrigat Jean, States of a one dimensional quantum crystal, C. R. Math. Acad. Sci. Paris 336 (2003), no. 12, 981--984.
  42. Amour L., Raoux T. The Cauchy problem for a coupled semilinear parabolic system, Nonlinear Anal. 52 (2003), no. 3, 891--904.
  43. Amour L., Isospectral flows of third order operators, SIAM J. Math. Anal. 32 (2001), no. 6, 1375--1389.
  44. Amour L., Brummelhuis R., Nourrigat J., Resonances of the Dirac Hamiltonian in the non relativistic limit, Ann. Henri Poincaré 2 (2001), no. 3, 583--603.
  45. Amour L., Raoux T. L1 decay properties for a semilinear parabolic system, Israel J. Math. 123 (2001), 157--177.
  46. Amour L.,Kerdelhué Ph., Nourrigat J., Calcul pseudodifferentiel en grande dimension, Asymptot. Anal. 26 (2001), no. 2, 135î161.
  47. Amour Laurent, Raoux Thierry, Existence et décroissance en norme $L\sp 1$ des solutions d'un système parabolique semi-linéaire, C. R. Acad. Sci. Paris Sér. I Math. 329 (1999), no. 5, 367--370.
  48. Amour L., Determination of a third-order operator from two of its spectra, SIAM J. Math. Anal. 30 (1999), no. 5, 1010--1028.
  49. Amour L., Guillot J. C., Examples of discrete operators with a pure point spectrum of finite multiplicity, J. Math. Anal. Appl., 229 (1999), no. 1, 170î183.
  50. Amour Laurent, Ben-Artzi Matania, Global existence and decay for viscous Hamilton-Jacobi equations, Nonlinear Anal. 31 (1998), no. 5-6, 621--628.
  51. Amour Laurent, Extensions on isospectral sets for AKNS systems, Inverse Problems 12 (1996), no. 2, 115--120.
  52. Amour L., Guillot J.-C., Isospectral sets for AKNS systems on the unit interval with generalized periodic boundary conditions, Geom. Funct. Anal. 6 (1996), no. 1, 1--27.
  53. Amour Laurent, Almost periodicity for the nonlinear cubic Schrödinger equation, Israel J. Math. 92 (1995), no. 1-3, 333--348.
  54. Amour Laurent, Guillot Jean-Claude, Variétés isospectrales pour les systèmes AKNS sur l'intervalle unité avec des conditions aux limites périodiques généralisées, C. R. Acad. Sci. Paris Sér. I Math, 320 (1995), no. 6, 675--679
  55. Amour Laurent, Inverse spectral theory for the AKNS system with separated boundary conditions, Inverse Problems 9 (1993), no. 5, 507--523.
  56. Amour Laurent, Variétés isospectrales et caractérisation des spectres pour les opérateurs AKNS, C. R. Acad. Sci. Paris Sér. I Math. 316 (1993), no. 7, 663--666.

    57. Articles publiés de conférences internationales

  57. Amour Laurent, Jérémy Faupin, Existence of a ground state for confined hydrogen atom in non relativistic QED, Quantum few-body systems: Proceedings of the Joint Physics/Mathematics Workshop on Quantum Few-Body Systems, AIP Conference Proceedings, Volume 998 (2008), 30-42.
  58. Amour Laurent, Raoux Thierry, Decay of mass for a semilinear parabolic system. Partial differential equations, 63--71, Lecture Notes in Pure and Appl. Math. , 229, Dekker, New York, 2002.

    59. Article "Expository"

  59. Laurent Amour, Lisette Jager, Jean Nourrigat, Bounded Weyl pseudodifferential operators in Fock spaces, arXiv:1209.2852 (2012)