List of publications

J.-M. Barbaroux, M. Hartig, D. Hundertmark, S. Vugalter
Van der Waals-London interaction of atoms with pseudo-relativistic kinetic energy

J.-M. Barbaroux, H.D. Cornean, S. Zalczer
Localization for gapped Dirac Hamiltionians with random perturbations: Application to graphene antidot lattices
arXiv:1812.01868

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).