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47

Publication list


Journal articles39 documents

  • Jean-Marie Barbaroux, Loïc Le Treust, Nicolas Raymond, Edgardo Stockmeyer. On the semiclassical spectrum of the Dirichlet-Pauli operator. Journal of the European Mathematical Society, European Mathematical Society, 2021, 23 (10), pp.3279-3321. ⟨10.4171/JEMS/1085⟩. ⟨hal-01889492v2⟩
  • Jean-Marie Barbaroux, H D Cornean, S Zalczer. Gap opening in the spectrum of some Dirac-like pseudo-differential operators. Revue roumaine de mathématiques pures et appliquées, Editura Academiei Române, 2021, 66 (3-4), pp.597-616. ⟨hal-02463983⟩
  • Jean-Marie Barbaroux, Horia D. Cornean, Loïc Le Treust, Edgardo Stockmeyer. Resolvent convergence to Dirac operators on planar domains. Annales Henri Poincaré, Springer Verlag, 2019, 20 (6), pp.1877-1891. ⟨10.1007/s00023-019-00787-2⟩. ⟨hal-01891944⟩
  • Jean-Marie Barbaroux, Jérémy Faupin, Jean-Claude Guillot. Local decay for weak interactions with massless particles. Journal of Spectral Theory, European Mathematical Society, 2019, 9 (2), pp.453-512. ⟨10.4171/JST/253⟩. ⟨hal-01465309⟩
  • Jean-Marie Barbaroux, Horia D. Cornean, Sylvain Zalczer. Localization for Gapped Dirac Hamiltonians with Random Perturbations: Application to Graphene Antidot Lattices. Documenta Mathematica, Universität Bielefeld, 2019, 24, pp.65-93. ⟨10.25537/dm.2019v24.65-93⟩. ⟨hal-02043278⟩
  • Jean-Marie Barbaroux, Vitali Vougalter. On the well posedness of the magnetic Schrödinger-Poisson system in $R^3$. Mathematical Modelling of Natural Phenomena, EDP Sciences, 2017, 12 (1), pp.15 - 22. ⟨10.1051/mmnp/201712102⟩. ⟨hal-01465310⟩
  • Jean-Marie Barbaroux, Horia D. Cornean, Edgardo Stockmeyer. Spectral gaps in Graphene antidot lattices. Integral Equations and Operator Theory, Springer Verlag, 2017, 89 (4), pp.631-646. ⟨10.1007/s00020-017-2411-9⟩. ⟨hal-01546056⟩
  • Jean-Marie Barbaroux, Dirk Hundertmark, Tobias Ried, Semjon Vugalter. Gevrey Smoothing for Weak Solutions of the Fully Nonlinear Homogeneous Boltzmann and Kac Equations Without Cutoff for Maxwellian Molecules. Archive for Rational Mechanics and Analysis, Springer Verlag, 2017, 225 (2), pp. 601-661. ⟨10.1007/s00205-017-1101-8⟩. ⟨hal-01253130⟩
  • Jean-Marie Barbaroux, Dirk Hundertmark, Tobias Ried, Semjon Vugalter. Strong smoothing for the non-cutoff homogeneous Boltzmann equation for Maxwellian molecules with Debye-Yukawa type interaction. Kinetic and Related Models , AIMS, 2017, 10 (4), pp.901-924. ⟨10.3934/krm.2017036⟩. ⟨hal-01253144⟩
  • Jean-Marie Barbaroux, Vitali Vougalter, Semjon Vugalter. Localization error estimate for the massless relativistic kinetic energy operator. Mathematical Modelling of Natural Phenomena, EDP Sciences, 2016, 11 (2), pp.36-43. ⟨10.1051/mmnp/201611203⟩. ⟨hal-01253109⟩
  • Jean-Marie Barbaroux, Josef Mehringer, Edgardo Stockmeyer, Amal Taarabt. Dynamical localization of Dirac particles in electromagnetic fields with dominating magnetic potentials. Journal of Differential Equations, Elsevier, 2016, 260 (7), pp.5912-5925. ⟨10.1016/j.jde.2015.12.021⟩. ⟨hal-01253123⟩
  • Jean-Marie Barbaroux, Jérémy Faupin, Jean-Claude Guillot. Spectral theory near thresholds for weak interactions with massive particles. Journal of Spectral Theory, European Mathematical Society, 2016, 6 (3), pp.505-555. ⟨10.4171/JST/131⟩. ⟨hal-00957524⟩
  • Jean-Marie Barbaroux, Vitali Vougalter. Existence and nonlinear stability of stationary states for the magnetic Schrödinger-Poisson system. Journal of Mathematical Sciences, Springer Verlag (Germany), 2016, 219 (6), pp.874-898. ⟨10.1007/s10958-016-3152-z⟩. ⟨hal-01286758⟩
  • Jean-Marie Barbaroux, Semjon Vugalter. Quantitative Estimates on the Binding Energy for Hydrogen in Non-Relativistic QED. II. The spin case. Reviews in Mathematical Physics, World Scientific Publishing, 2014, 26 (8), pp.1450016. ⟨10.1142/S0129055X14500160⟩. ⟨hal-00957517⟩
  • Jean-Marie Barbaroux, Semjon Vugalter. Contribution of the spin-Zeeman term to the binding energy for hydrogen in non-relativistic QED. Annals of the University of Bucharest. Mathematical series, București : Editura Universității din București, 2013, 4 (LXII), pp.323-336. ⟨hal-01253052⟩
  • Jean-Marie Barbaroux, Semjon Vugalter. On the ground state energy of the translation invariant Pauli-Fierz Model. II.. Documenta Mathematica, Universität Bielefeld, 2012, 17, pp.401-415. ⟨hal-01253031⟩
  • Walter H. Aschbacher, Jean-Marie Barbaroux, Jérémy Faupin, Jean-Claude Guillot. Spectral theory for a mathematical model of the weak interaction: The decay of the intermediate vector bosons W±, II. Annales Henri Poincaré, Springer Verlag, 2011, 12 (8), pp.1539-1570. ⟨10.1007/s00023-011-0114-3⟩. ⟨hal-00957504⟩
  • Jean-Marie Barbaroux, Semjon Vugalter. Non analyticity of the ground state energy of the Hamiltonian for Hydrogen atom in nonrelativistic QED. Journal of Physics A: Mathematical and Theoretical, IOP Publishing, 2010, 43 (47), pp.474004. ⟨10.1088/1751-8113/43/47/474004⟩. ⟨hal-00488167⟩
  • Jean-Marie Barbaroux, Thomas Chen, Vitali Vougalter, Semjon Vugalter. Quantitative estimates on the binding energy for Hydrogen in non-relativistic QED. Annales Henri Poincaré, Springer Verlag, 2010, 11 (8), pp.1487-1544. ⟨10.1142/S0129055X14500160⟩. ⟨hal-01253014⟩
  • Jean-Marie Barbaroux, J. -C. Guillot. Spectral theory for a mathematical model of the weak interactions: The decay of the intermediate vector bosons W+/-. I. Advances in Mathematical Physics, Hindawi Publishing Corporation, 2009, 2009, pp.978903. ⟨10.1155/2009/978903⟩. ⟨hal-00377598⟩
  • Jean-Marie Barbaroux, Thomas Chen, Vitali Vougalter, Semjon Vugalter. On the ground state energy of the translation invariant Pauli-Fierz model. Proceedings of the American Mathematical Society, American Mathematical Society, 2008, 136 (3), pp.1057-1064. ⟨hal-00166909⟩
  • Walter H. Aschbacher, Jean-Marie Barbaroux. Exponential spatial decay of spin-spin correlations in translation invariant quasi-free states. Journal of Mathematical Physics, American Institute of Physics (AIP), 2007, 48 (11), pp.113302. ⟨10.1063/1.2801876⟩. ⟨hal-00377255⟩
  • Walter H. Aschbacher, Jean-Marie Barbaroux. Out of equilibrium correlations in the XY chain. Letters in Mathematical Physics, 2006, 77, ⟨10.1007/s11005-006-0049-7⟩. ⟨hal-00008347⟩
  • Jean-Marie Barbaroux, Maria J. Esteban, Eric Séré. Some connections between Dirac-Fock and Electron-Positron Hartree-Fock. Annales de l'Institut Henri Poincare Physique Theorique, Birkhäuser, 2005, 6,No.1, pp.85-102. ⟨hal-00012913⟩
  • Jean-Marie Barbaroux, Walter Farkas, Bernard Helffer, Heinz Siedentop. On the Hartree-Fock equations of the electron-positron field. Communications in Mathematical Physics, Springer Verlag, 2005, 255, pp.131-159. ⟨10.1007/s00220-004-1156-x⟩. ⟨hal-00008350⟩
  • Jean-Marie Barbaroux, Helmut Linde, Semjon Vugalter. Quantitative estimates on the enhanced binding for the Pauli-Fierz operator. Journal of Mathematical Physics, American Institute of Physics (AIP), 2005, 46 (12), pp.122103. ⟨10.1063/1.2142835⟩. ⟨hal-00377277⟩
  • Jean-Marie Barbaroux, M. Dimassi, J. -C. Guillot. Quantum electrodynamics of relativistic bound states with cutoffs. Journal of Hyperbolic Differential Equations, 2004, 1,No.2, pp.271-314. ⟨10.1142/S021989160400010X⟩. ⟨hal-00012911⟩
  • Jean-Marie Barbaroux, Thomas Chen, Semjon Vugalter. Binding conditions for atomic N-electron systems in non-relativistic QED. Annales Henri Poincaré, Springer Verlag, 2003, 4, pp.1101-1136. ⟨10.1007/s00023-003-0157-1⟩. ⟨hal-00008344⟩
  • Jean-Marie Barbaroux, Mouez Dimassi, Jean-Claude Guillot. Quantum electrodynamics of relativistic bound states with cutoffs. II. Contemporary mathematics, American Mathematical Society, 2002, 307, pp.9-14. ⟨hal-00377285⟩
  • Jean-Marie Barbaroux, François Germinet, S. Tcheremchantsev. Generalized fractal dimensions: equivalence and basic properties. Journal de Mathématiques Pures et Appliquées, Elsevier, 2001, 80, pp.977-1012. ⟨hal-00092746⟩
  • Jean-Marie Barbaroux, François Germinet, S. Tcheremchantsev. Fractal Dimensions and the Phenomenon of Intermittency in Quantum Dynamics. Duke Mathematical Journal, Duke University Press, 2001, 110, pp.161-193. ⟨hal-00092749⟩
  • Jean-Marie Barbaroux, S. Tcheremchantsev, François Germinet. Nonlinear variation of diffusion exponents in quantum dynamics. Comptes rendus de l'Académie des sciences. Série I, Mathématique, Elsevier, 2000, 330, pp.409-414. ⟨hal-00092756⟩
  • Volker Bach, Jean-Marie Barbaroux, Bernard Helffer, Heinz Siedentop. On the Stability of the Relativistic Electron-Positron Field. Communications in Mathematical Physics, Springer Verlag, 1999, 201 (2), pp.445-460. ⟨10.1007/s002200050562⟩. ⟨hal-03272676⟩
  • Jean-Marie Barbaroux, J.M. Barbaroux, S. Tcheremchantsev. Universal Lower Bounds for Quantum Diffusion. Journal of Functional Analysis, Elsevier, 1999, 168 (2), pp.327-354. ⟨10.1006/jfan.1999.3471⟩. ⟨hal-03273024⟩
  • Volker Bach, Jean-Marie Barbaroux, Bernard Helffer, Heinz Siedentop. Stability of matter for the Hartree-Fock functional of the relativistic electron-positron field. Documenta Mathematica, Universität Bielefeld, 1998, 3, pp.353-364. ⟨hal-03550037⟩
  • Jean-Marie Barbaroux, Alain Joye. Expectation Values of Observables in Time-Dependent Quantum Mechanics. Journal of Statistical Physics, Springer Verlag, 1998, 90 (5/6), pp.1125-1249. ⟨10.1023/A:1023279311564⟩. ⟨hal-01233193⟩
  • Jean-Marie Barbaroux, J.M Barbaroux, J.M Combes, R Montcho. Remarks on the Relation between Quantum Dynamics and Fractal Spectra. Journal of Mathematical Analysis and Applications, Elsevier, 1997, 213 (2), pp.698-722. ⟨10.1006/jmaa.1997.5571⟩. ⟨hal-03273010⟩
  • Jean-Marie Barbaroux, J. Combes, P. Hislop. Landau Hamiltonians with Unbounded Random Potentials. Letters in Mathematical Physics, Springer Verlag, 1997, 40 (4), pp.355-369. ⟨10.1023/A:1007390102610⟩. ⟨hal-03273015⟩
  • Jean-Marie Barbaroux, Peter D. Hislop, Jean-Michel Combes. Localization near band edges for random Schrödinger operators. Helvetica Physica Acta, 1997. ⟨hal-03550035⟩

Conference papers3 documents

  • Jean-Marie Barbaroux, Jérémy Faupin, Jean-Claude Guillot. Spectral properties for Hamiltonians of weak interactions . International Conference on Spectral Theory and Mathematical Physics, Nov 2014, Santiago de Chile, Chile. pp.11-36. ⟨hal-01253138⟩
  • Jean-Marie Barbaroux. Some variational principles for relativistic energy functionals. Oberwolfach Reports, 2004, Oberwolfach, Germany. pp.2839. ⟨hal-00008351⟩
  • Jean-Marie Barbaroux, S. Tcheremchantsev, François Germinet. Quantum diffusion and generalized fractal dimensions: the L^2(\R^d) case. Actes des journées EDP de Nantes, 2000, nantes, France. ⟨hal-00092738⟩

Preprints, Working Papers, ...4 documents

  • Jean-Marie Barbaroux, Loïc Le Treust, Nicolas Raymond, Edgardo Stockmeyer. On the Dirac bag model in strong magnetic fields. 2021. ⟨hal-02889558v3⟩
  • Jean-Marie Barbaroux, Michael Hartig, Dirk Hundertmark, Semjon Vugalter. Van der Waals-London interaction of atoms with pseudo-relativistic kinetic energy. 2019. ⟨hal-02043282⟩
  • Jean-Marie Barbaroux, W. Farkas, B. Helffer, H. Siedentop. On the Hartree-Fock equations of the electron/positron field. 2004. ⟨hal-00012912⟩
  • Jean-Marie Barbaroux, Maria J. Esteban, Eric Séré. Some connections between Dirac-Fock and Electron-Positron Hartree-Fock. 2004. ⟨hal-00002869⟩

Habilitation à diriger des recherches1 document

  • Jean-Marie Barbaroux. Modèles mathématiques de la chimie quantique atomique & dynamique quantique et spectre multifractal. Mathématiques [math]. Université de Nantes, 2005. ⟨tel-00010385⟩