List of publications

J.-M. Barbaroux, J.-C. Guillot, 2009, 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.
J.-M. Barbaroux, J.-C. Guillot, September 2009, Limiting absorption principle at low energies for a mathematical model of weak interactions: the decay of a boson, Comptes Rendus Mathématique 347, Issues 17-18, 1087--1092.
J.-M. Barbaroux, Th. Chen, V. Vougalter, S. Vugalter, September 2009, Quantitative estimates on the Hydrogen ground state energy in non-relativistic QED, Submitted, arXiv:0903.1854
J.-M. Barbaroux, Th. Chen, V. Vougalter, S. Vugalter, 2008, On the ground state energy of the translation invariant Pauli-Fierz operator, Proceedings of the American Mathematical Society 136, 1057-1064, arXiv:math-ph/0702098v3
W.H. Aschbacher, J.-M. Barbaroux, 2007, Exponential spatial decay of spin-spin correlations in translation invariant quasi-free states, J. Math. Phys. 48, 113302 (14 pages).
W.H. Aschbacher, J.-M. Barbaroux, 2006, Out of equilibrium correlations in the XY chain, Lett. Math. Phys. 77(1), 11-20, arXiv:math-ph/0505062v2
J.-M. Barbaroux, B. Hellfer, H. Siedentop, 2006, Remarks on the Mittleman max-min variational method for the electron positron field, J. Phys. A: Math. Gen. 39, 85-98, arXiv:math-ph/0404009v1
J.-M. Barbaroux, H. Linde, S. Vugalter, 2005, Quantitative estimates on the enhanced binding for the Pauli-Fierz operator, J. Math. Phys. 46, 122103 (11 pages), arXiv:math-ph/0508025v1
J.-M. Barbaroux, M.J. Esteban, E. Séré, 2005, Some connections between Dirac-Fock and electron-positron Hartree-Fock, Ann. Henri Poincaré 6(1), 85-102, arXiv:math-ph/0402058v3
J.-M. Barbaroux, W. Farkas, B. Helffer, H. Siedentop, 2005, Hartree-Fock equations of the electron-positron field, Comm. Math. Phys. 255(1), 131-159, arXiv:math-ph/0404009v1
J.-M. Barbaroux, 2004, Some variational principles for relativistic energy, Oberwolfach reports, Spectral analysis of Partial Differential Equations, 1(4), 131-159, Oberwolfach reports
J.-M. Barbaroux, M. Dimassi, J.-C. Guillot, 2004, Quantum electrodynamics of relativistic bound states with cutoff, Journal of Hyperbolic Differential Equations, 1(2), 271-314, arXiv:math-ph/0312011v1
J.-M. Barbaroux, Th. Chen, S. Vugalter, 2003, Binding conditions for atomic N-electron systems in non-relativistic QED, Ann. Henri Poincaré, 4(6), 1101-1136, arXiv:math-ph/0304019v1
J.-M. Barbaroux, M. Dimassi, J.-C. Guillot, 2002, Quantum electrodynamics of relativistic bound states with cutoffs II, Contemporary Mathematics, 307(6), 9-14, arXiv:math-ph/0304019v1
J.-M. Barbaroux, F. Germinet, S. Tcheremchantsev, 2001, Generalized Fractal Dimensions: Equivalences and Basic Properties, J. Math. Pures Appl., 80, 977-1012, arXiv:math-ph/0304019v1
J.-M. Barbaroux, F. Germinet, S. Tcheremchantsev, 2001, Fractal dimensions and the phenomenon of intermittency in quantum dynamics, Duke Math. J., 110No 1, 161-193
J.-M. Barbaroux, F. Germinet, S. Tcheremchantsev, 2000, Quantum diffusion and generalized Rényi dimensions of spectral measures, proceedings Journées Équations aux Dérivées Partielles, Nantes (2000), ps file
J.-M. Barbaroux, F. Germinet, S. Tcheremchantsev, 2000, Nonlinear variation of diffusion exponents in quantum dynamics, C. R. Acad. Sci., 330, Série I, 409-414, arXiv:math-ph/0304019v1
J.-M. Barbaroux, H. Schulzbaldes, 1999, Anomalous quantum transport in presence of self-similar spectra, Institut Henri Poincaré , 75, No 5, 1-21, mp-arc 99-47
V. Bach, J.-M. Barbaroux, B. Helffer, H. Siedentop, 1999, On stability of the relativistic electron-positron field, Comm. Math. Phys., 201, 445-460, mp-arc 98-272
J.-M. Barbaroux, S. Tcheremchantsev, 1999, Universal lower bounds for quantum diffusion, J. Funct. Anal. , 168, mp-arc 98-410
J.-M. Barbaroux, W. Fischer, P. Müller, 1999, A criterion for dynamical localization in random Schrödinger models, Rapport Interne , Université de Nantes, mp-arc 98-618
V. Bach, J.-M. Barbaroux, B. Helffer, H. Siedentop , 1998, Stability of matter for the functional of the relativistic electron-positron field, Doc. Math. J. , 3, 353-364, mp-arc 98-272
J.-M. Barbaroux, A. Joye, 1998, Expectation values of observables in time-dependent quantum mechanics, J. Stat. Phys., 90, No 5-6, 1225-1249, mp-arc 97-405
J.-M. Barbaroux,J.-M. Combes, P.D. Hislop, 1998, Landau Hamiltonians with unbounded random potentials, Lett. Math. Phys., 40, 355-369, mp-arc 96-304
J.-M. Barbaroux,J.-M. Combes, P.D. Hislop, 1997, Localization near band edges for random Schrödinger operators, Helv. Phys. Acta, 70, 16-43, mp-arc 96-303
J.-M. Barbaroux,J.-M. Combes, R. Montcho, 1997, Remarks on the relation between quantum dynamics and fractal spectra, J. Math. Anal. and Appl., 213, 698-722, mp-arc 96-294

Academic

J.-M. Barbaroux, 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).
J.-M. Barbaroux, Dynamique quantique des milieux désordonnés, Thèse de Doctorat de l'Université de Toulon, (Janvier 1997).