Magnetic Dirac systems: Violation of bulk-edge correspondence in the zigzag limit arXiv (2024). |
The Dirac bag model in strong magnetic fields Pure Appl. Anal. 5 (2023), no. 3, 643–727. |
Van der Waals-London interaction of atoms with pseudo-relativistic kinetic energy Analysis and PDE 15 (2022) no. 6, 1375–1428. |
On the semiclassical spectrum of the Dirichlet-Pauli operator J. Eur. Math. Soc. 23 (2021), no. 10, 3279–3321. |
Gap opening in the spectrum of some Dirac-like pseudo-differentiel operators Rev. Roumaine Math. Pures Appl. 66 (2021), no. 3-4, 597–616. |
Localization for gapped Dirac Hamiltionians with random perturbations: Application to graphene antidot lattices Documenta Mathematica 24 (2019) |
Resolvent convergence to Dirac operators on planar domains Annales Henri Poincaré 20 (June 2019), Issue 6, pp 1877–1891 |
Local decay for weak interactions with massless particles Journal of Spectral Theory 9 (2019), Issue 2, pp 453–512 arXiv:1611.07814 --> |
Spectral gaps in Graphene antidot lattices Integral Equations and Operator Theory 89 (December 2017), Issue 4, pp 631–646 arXiv:1705.09187 |
Gevrey smoothing for weak solutions of the fully nonlinear homogeneous Boltzmann and Kac equations without cutoff for Maxwellian molecules Arch Rational Mech Anal 225 (2017), Issue 2, pp 601–661 (2017) doi:10.1007/s00205-017-1101-8, |
On the well posedness of the magnetic Schrödinger-Poisson system in R^3 Math. Model. Nat. Phenom. 12 (2017), no. 1, 15–22 |
Strong smoothing for the non-cutoff homogeneous Boltzmann Equation for Maxwellian molecules with Debye-Yukawa type interaction Kinet. Relat. Models 10 (2017), no. 4, 901–924 |
Existence and nonlinear stability of stationary states for the magnetic Schrödinger-Poisson system J. Math. Sci. (N.Y.) 219 , (2016), no. 6, Problems in mathematical analysis. No. 87 |
Spectral properties for Hamiltonians of weak interactions Operator Theory: Advances and Applications 254 (2016), 11-36 |
Dynamial localization for Dirac particles in electromagnetic fields with dominating magnetic potentials J. Differential Equations 260 (2016), 5912--5925 |
Localization error estimate for the massless relativistic kinetic energy operator Math. Model. Nat. Phenom. 11, (2016) No.2 |
Spectral Theory near Thresholds for Weak Interactions with Massive Particles Journal of Spectral Theory. 6 (2016) , 1-50 |
Quantitative Estimates on the Binding Energy for Hydrogen in Non-Relativistic QED. II. The spin case. Reviews in Mathematical Physics 26, (2014) No. 8 1450016 (57 pages) |
Contribution of the spin-Zeeman term to the binding energy for hydrogen in non-relativistic QED Annals of the University of Bucharest, 4 (LXII) (2013), 323-336 |
On the ground state energy of the translation invariant Pauli-Fierz Model II. Documenta Mathematica 17 (2012) |
Spectral theory for a mathematical model of the weak interaction: The decay of the intermediate vector bosons W+/-, II Annales Henri Poincaré 12 , (2011) no. 8, 1539-1570, arXiv:1105.2247 |
,
Non analyticity of the ground state energyof the Hamiltonian for Hydrogen atom in nonrelativistic QED Journal of Physics A: Mathematical and Theoretical 43 (2010), 474004, arXiv:1006.0102 |
Quantitative estimates on the binding energy for Hydrogen in non-relativistic QED Annales Henri Poincaré 11 (2010), no. 8, 1487-1544, arXiv:0903.1854 |
Spectral theory for a mathematical model of the weak interactions: The decay of the intermediate bosons Advances in Mathematical Physics 2009 , 52 pages, open access |
Limiting absorption principle at low energies for a mathematical model of weak interactions: the decay of a boson Comptes Rendus Mathématique 347 (2009), Issues 17-18, 1087--1092 |
On the ground state energy of the translation invariant Pauli-Fierz operator Proceedings of the American Mathematical Society 136, (2008), 1057-1064, arXiv:math-ph/0702098v3 |
Exponential spatial decay of spin-spin correlations in translation invariant quasi-free states J. Math. Phys. 48 (2007), 113302 (14 pages) |
Out of equilibrium correlations in the XY chain Lett. Math. Phys. 77 (2006) (1), 11-20, arXiv:math-ph/0505062v2 |
Remarks on the Mittleman max-min variational method for the electron positron field J. Phys. A: Math. Gen. 39 (2006), 85-98, arXiv:math-ph/0404009v1 |
Quantitative estimates on the enhanced binding for the Pauli-Fierz operator J. Math. Phys. 46 (2005), 122103 (11 pages), arXiv:math-ph/0508025v1 |
Some connections between Dirac-Fock and electron-positron Hartree-Fock Ann. Henri Poincaré 6 (2005) (1), 85-102, arXiv:math-ph/0402058v3 |
Hartree-Fock equations of the electron-positron field Comm. Math. Phys. 255 (2005) (1), 131-159, arXiv:math-ph/0404009v1 |
Some variational principles for relativistic energy Oberwolfach reports, Spectral analysis of Partial Differential Equations, 1 (2004) (4), 131-159, Oberwolfach reports |
Quantum electrodynamics of relativistic bound states with cutoff Journal of Hyperbolic Differential Equations, 1 (2004) (2), 271-314, arXiv:math-ph/0312011v1 |
Binding conditions for atomic N-electron systems in non-relativistic QED Ann. Henri Poincaré, 4 (2003) (6), 1101-1136, arXiv:math-ph/0304019v1 |
Quantum electrodynamics of relativistic bound states with cutoffs II, Contemporary Mathematics, 307 (2002) (6), 9-14, arXiv:math-ph/0304019v1 |
Generalized Fractal Dimensions: Equivalences and Basic Properties J. Math. Pures Appl., 80 (2001), 977-1012, arXiv:math-ph/0304019v1 |
Fractal dimensions and the phenomenon of intermittency in quantum dynamics Duke Math. J., 110 (2001) No 1, 161-193 |
Quantum diffusion and generalized Rényi dimensions of spectral measures proceedings Journées Équations aux Dérivées Partielles, Nantes (2000), pdf file |
Nonlinear variation of diffusion exponents in quantum dynamics C. R. Acad. Sci., 330 (2000), Série I, 409-414, arXiv:math-ph/0304019v1 |
Anomalous quantum transport in presence of self-similar spectra Institut Henri Poincaré , 75 (1999), No 5, 1-21, mp-arc 99-47 |
On stability of the relativistic electron-positron field Comm. Math. Phys., 201, (1999) 445-460, mp-arc 98-272 |
Universal lower bounds for quantum diffusion J. Funct. Anal. , 168 (1999), mp-arc 98-410 |
A criterion for dynamical localization in random Schrödinger models Rapport Interne (1999), Université de Nantes, mp-arc 98-618 |
Stability of matter for the functional of the relativistic electron-positron field Doc. Math. J. , 3 (1998), 353-364, mp-arc 98-272 |
Expectation values of observables in time-dependent quantum mechanics J. Stat. Phys., 90 (1998), No 5-6, 1225-1249, mp-arc 97-405 |
Landau Hamiltonians with unbounded random potentials Lett. Math. Phys., 40 (1998), 355-369, mp-arc 96-304 |
Localization near band edges for random Schrödinger operators Helv. Phys. Acta, 70 (1997), 16-43, mp-arc 96-303 |
Remarks on the relation between quantum dynamics and fractal spectra J. Math. Anal. and Appl., 213 (1997), 698-722, mp-arc 96-294 |
Modèles mathématiques de la chimie quantique atomique & Dynamique quantique et spectre multifractal, Habilitation Laboratoire Jean Leray, Université de Nantes, (Juillet 2005) (fichier pdf - serveur HAL du CNRS). | ,
Dynamique quantique des milieux désordonnés, Thèse de Doctorat de l'Université de Toulon, (Janvier 1997). | ,