List of publications

J.-M. Barbaroux, L. Letreust, N. Raymond, E. Stockmeyer,
On the semiclassical spectrum of the Dirichlet-Pauli operator ,
arXiv:1810.03344

J.-M. Barbaroux, H. Cornean, L. Le Treust, E. Stockmeyer,
Resolvent convergence to Dirac operators on planar domains ,
arXiv:1810.02957

J.-M. Barbaroux, H. Cornean, E. Stockmeyer,
Spectral gaps in Graphene antidot lattices,
Integral Equations and Operator Theory, 89 (December 2017), Issue 4, pp 631646 arXiv:1705.09187

J.-M. Barbaroux, J. Faupin, J.-C. Guillot
Local decay for weak interactions with massless particles,
To appear in Journal of Spectral Theory, arXiv:1611.07814

J.-M. Barbaroux, D. Hundertmark, T. Ried, S. Vugalter,
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 601661 (2017) doi:10.1007/s00205-017-1101-8,

J.-M. Barbaroux, V. Vougalter,
On the well posedness of the magnetic Schrödinger-Poisson system in R^3 ,
Math. Model. Nat. Phenom. 12 (2017), no. 1, 1522

J.-M. Barbaroux, D. Hundertmark, T. Ried, S. Vugalter,
Strong smoothing for the non-cutoff homogeneous Boltzmann Equation for Maxwellian molecules with Debye-Yukawa type interaction ,
Kinet. Relat. Models 10 (2017), no. 4, 901924

J.-M. Barbaroux, V. Vougalter,
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

J.-M. Barbaroux, J. Faupin, J.-C. Guillot,
Spectral properties for Hamiltonians of weak interactions,
Operator Theory: Advances and Applications 254 (2016), 11-36

J.-M. Barbaroux, J. Mehringer, E. Stockmeyer, A. Taarabt,
Dynamial localization for Dirac particles in electromagnetic fields with dominating magnetic potentials,
J. Differential Equations 260 (2016), 5912--5925

J.-M. Barbaroux, V. Vougalter, S. Vugalter
Localization error estimate for the massless relativistic kinetic energy operator,
Math. Model. Nat. Phenom. 11, (2016) No.2

J.-M. Barbaroux, J. Faupin, J.-C. Guillot,
Spectral Theory near Thresholds for Weak Interactions with Massive Particles,
Journal of Spectral Theory. 6 (2016) , 1-50

J.-M. Barbaroux, S. Vugalter,
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)

J.-M. Barbaroux, S. Vugalter,
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

J.-M. Barbaroux, S. Vugalter,
On the ground state energy of the translation invariant Pauli-Fierz Model II.,
Documenta Mathematica 17 (2012)

W.H. Aschbacher, J.-M. Barbaroux, J. Faupin, J.-C. Guillot,
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

J.-M. Barbaroux, S. Vugalter,
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

J.-M. Barbaroux, Th. Chen, V. Vougalter, S. Vugalter,
Quantitative estimates on the binding energy for Hydrogen in non-relativistic QED,
Annales Henri Poincaré 11 (2010), no. 8, 1487-1544, arXiv:0903.1854

J.-M. Barbaroux, J.-C. Guillot,
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,
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

J.-M. Barbaroux, Th. Chen, V. Vougalter, S. Vugalter,
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

W.H. Aschbacher, J.-M. Barbaroux,
Exponential spatial decay of spin-spin correlations in translation invariant quasi-free states,
J. Math. Phys. 48 (2007), 113302 (14 pages)

W.H. Aschbacher, J.-M. Barbaroux,
Out of equilibrium correlations in the XY chain,
Lett. Math. Phys. 77 (2006) (1), 11-20, arXiv:math-ph/0505062v2

J.-M. Barbaroux, B. Hellfer, H. Siedentop,
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

J.-M. Barbaroux, H. Linde, S. Vugalter,
Quantitative estimates on the enhanced binding for the Pauli-Fierz operator,
J. Math. Phys. 46 (2005), 122103 (11 pages), arXiv:math-ph/0508025v1

J.-M. Barbaroux, M.J. Esteban, E. Séré,
Some connections between Dirac-Fock and electron-positron Hartree-Fock,
Ann. Henri Poincaré 6 (2005) (1), 85-102, arXiv:math-ph/0402058v3

J.-M. Barbaroux, W. Farkas, B. Helffer, H. Siedentop,
Hartree-Fock equations of the electron-positron field,
Comm. Math. Phys. 255 (2005) (1), 131-159, arXiv:math-ph/0404009v1

J.-M. Barbaroux,
Some variational principles for relativistic energy,
Oberwolfach reports, Spectral analysis of Partial Differential Equations, 1 (2004) (4), 131-159, Oberwolfach reports

J.-M. Barbaroux, M. Dimassi, J.-C. Guillot,
Quantum electrodynamics of relativistic bound states with cutoff,
Journal of Hyperbolic Differential Equations, 1 (2004) (2), 271-314, arXiv:math-ph/0312011v1

J.-M. Barbaroux, Th. Chen, S. Vugalter,
Binding conditions for atomic N-electron systems in non-relativistic QED,
Ann. Henri Poincaré, 4 (2003) (6), 1101-1136, arXiv:math-ph/0304019v1

J.-M. Barbaroux, M. Dimassi, J.-C. Guillot,
Quantum electrodynamics of relativistic bound states with cutoffs II,
Contemporary Mathematics, 307 (2002) (6), 9-14, arXiv:math-ph/0304019v1

J.-M. Barbaroux, F. Germinet, S. Tcheremchantsev,
Generalized Fractal Dimensions: Equivalences and Basic Properties,
J. Math. Pures Appl., 80 (2001), 977-1012, arXiv:math-ph/0304019v1

J.-M. Barbaroux, F. Germinet, S. Tcheremchantsev,
Fractal dimensions and the phenomenon of intermittency in quantum dynamics,
Duke Math. J., 110 (2001) No 1, 161-193

J.-M. Barbaroux, F. Germinet, S. Tcheremchantsev,
Quantum diffusion and generalized Rényi dimensions of spectral measures,
proceedings Journées Équations aux Dérivées Partielles, Nantes (2000), pdf file

J.-M. Barbaroux, F. Germinet, S. Tcheremchantsev,
Nonlinear variation of diffusion exponents in quantum dynamics,
C. R. Acad. Sci., 330 (2000), Série I, 409-414, arXiv:math-ph/0304019v1

J.-M. Barbaroux, H. Schulzbaldes,
Anomalous quantum transport in presence of self-similar spectra,
Institut Henri Poincaré , 75 (1999), No 5, 1-21, mp-arc 99-47

V. Bach, J.-M. Barbaroux, B. Helffer, H. Siedentop,
On stability of the relativistic electron-positron field,
Comm. Math. Phys., 201, (1999) 445-460, mp-arc 98-272

J.-M. Barbaroux, S. Tcheremchantsev,
Universal lower bounds for quantum diffusion,
J. Funct. Anal. , 168 (1999), mp-arc 98-410

J.-M. Barbaroux, W. Fischer, P. Müller,
A criterion for dynamical localization in random Schrödinger models,
Rapport Interne (1999), Université de Nantes, mp-arc 98-618

V. Bach, J.-M. Barbaroux, B. Helffer, H. Siedentop ,
Stability of matter for the functional of the relativistic electron-positron field,
Doc. Math. J. , 3 (1998), 353-364, mp-arc 98-272

J.-M. Barbaroux, A. Joye,
Expectation values of observables in time-dependent quantum mechanics,
J. Stat. Phys., 90 (1998), No 5-6, 1225-1249, mp-arc 97-405

J.-M. Barbaroux, J.-M. Combes, P.D. Hislop,
Landau Hamiltonians with unbounded random potentials,
Lett. Math. Phys., 40 (1998), 355-369, mp-arc 96-304

J.-M. Barbaroux, J.-M. Combes, P.D. Hislop,
Localization near band edges for random Schrödinger operators,
Helv. Phys. Acta, 70 (1997), 16-43, mp-arc 96-303

J.-M. Barbaroux, J.-M. Combes, R. Montcho,
Remarks on the relation between quantum dynamics and fractal spectra,
J. Math. Anal. and Appl., 213 (1997), 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).