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Jean-Marie Barbaroux

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On the Dirac bag model in strong magnetic fields

Jean-Marie Barbaroux , Loïc Le Treust , Nicolas Raymond , Edgardo Stockmeyer
Pure and Applied Analysis, inPress, 5 (3), pp.643-727. ⟨10.2140/paa.2023.5.643⟩
Article dans une revue hal-02889558v3

Van der Waals–London interaction of atoms with pseudorelativistic kinetic energy

Jean-Marie Barbaroux , Michael Hartig , Dirk Hundertmark , Semjon Vugalter
Analysis & PDE, 2022, 15 (6), pp.1375-1428. ⟨10.2140/apde.2022.15.1375⟩
Article dans une revue hal-02043282v1
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On the semiclassical spectrum of the Dirichlet-Pauli operator

Jean-Marie Barbaroux , Loïc Le Treust , Nicolas Raymond , Edgardo Stockmeyer
Journal of the European Mathematical Society, 2021, 23 (10), pp.3279-3321. ⟨10.4171/JEMS/1085⟩
Article dans une revue hal-01889492v2
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Gap opening in the spectrum of some Dirac-like pseudo-differential operators

Jean-Marie Barbaroux , H D Cornean , S Zalczer
Revue roumaine de mathématiques pures et appliquées, 2021, 66 (3-4), pp.597-616
Article dans une revue hal-02463983v1
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Local decay for weak interactions with massless particles

Jean-Marie Barbaroux , Jérémy Faupin , Jean-Claude Guillot
Journal of Spectral Theory, 2019, 9 (2), pp.453-512. ⟨10.4171/JST/253⟩
Article dans une revue hal-01465309v1
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Resolvent convergence to Dirac operators on planar domains

Jean-Marie Barbaroux , Horia D. Cornean , Loïc Le Treust , Edgardo Stockmeyer
Annales Henri Poincaré, 2019, 20 (6), pp.1877-1891. ⟨10.1007/s00023-019-00787-2⟩
Article dans une revue hal-01891944v1

Localization for Gapped Dirac Hamiltonians with Random Perturbations: Application to Graphene Antidot Lattices

Jean-Marie Barbaroux , Horia D. Cornean , Sylvain Zalczer
Documenta Mathematica, 2019, 24, pp.65-93. ⟨10.25537/dm.2019v24.65-93⟩
Article dans une revue hal-02043278v1
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On the well posedness of the magnetic Schrödinger-Poisson system in $R^3$

Jean-Marie Barbaroux , Vitali Vougalter
Mathematical Modelling of Natural Phenomena, 2017, 12 (1), pp.15 - 22. ⟨10.1051/mmnp/201712102⟩
Article dans une revue hal-01465310v1
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Strong smoothing for the non-cutoff homogeneous Boltzmann equation for Maxwellian molecules with Debye-Yukawa type interaction

Jean-Marie Barbaroux , Dirk Hundertmark , Tobias Ried , Semjon Vugalter
Kinetic and Related Models , 2017, 10 (4), pp.901-924. ⟨10.3934/krm.2017036⟩
Article dans une revue hal-01253144v1
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Gevrey Smoothing for Weak Solutions of the Fully Nonlinear Homogeneous Boltzmann and Kac Equations Without Cutoff for Maxwellian Molecules

Jean-Marie Barbaroux , Dirk Hundertmark , Tobias Ried , Semjon Vugalter
Archive for Rational Mechanics and Analysis, 2017, 225 (2), pp. 601-661. ⟨10.1007/s00205-017-1101-8⟩
Article dans une revue hal-01253130v1
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Spectral gaps in Graphene antidot lattices

Jean-Marie Barbaroux , Horia D. Cornean , Edgardo Stockmeyer
Integral Equations and Operator Theory, 2017, 89 (4), pp.631-646. ⟨10.1007/s00020-017-2411-9⟩
Article dans une revue hal-01546056v1

Existence and nonlinear stability of stationary states for the magnetic Schrödinger-Poisson system

Jean-Marie Barbaroux , Vitali Vougalter
Journal of Mathematical Sciences, 2016, 219 (6), pp.874-898. ⟨10.1007/s10958-016-3152-z⟩
Article dans une revue hal-01286758v1
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Spectral theory near thresholds for weak interactions with massive particles

Jean-Marie Barbaroux , Jérémy Faupin , Jean-Claude Guillot
Journal of Spectral Theory, 2016, 6 (3), pp.505-555. ⟨10.4171/JST/131⟩
Article dans une revue hal-00957524v1
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Dynamical localization of Dirac particles in electromagnetic fields with dominating magnetic potentials

Jean-Marie Barbaroux , Josef Mehringer , Edgardo Stockmeyer , Amal Taarabt
Journal of Differential Equations, 2016, 260 (7), pp.5912-5925. ⟨10.1016/j.jde.2015.12.021⟩
Article dans une revue hal-01253123v1

Quantitative Estimates on the Binding Energy for Hydrogen in Non-Relativistic QED. II. The spin case

Jean-Marie Barbaroux , Semjon Vugalter
Reviews in Mathematical Physics, 2014, 26 (8), pp.1450016. ⟨10.1142/S0129055X14500160⟩
Article dans une revue hal-00957517v1

Contribution of the spin-Zeeman term to the binding energy for hydrogen in non-relativistic QED

Jean-Marie Barbaroux , Semjon Vugalter
Annals of the University of Bucharest. Mathematical series, 2013, 4 (LXII), pp.323-336
Article dans une revue hal-01253052v1

On the ground state energy of the translation invariant Pauli-Fierz Model. II.

Jean-Marie Barbaroux , Semjon Vugalter
Documenta Mathematica, 2012, 17, pp.401-415
Article dans une revue hal-01253031v1
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Spectral theory for a mathematical model of the weak interaction: The decay of the intermediate vector bosons W±, II

Walter H. Aschbacher , Jean-Marie Barbaroux , Jérémy Faupin , Jean-Claude Guillot
Annales Henri Poincaré, 2011, 12 (8), pp.1539-1570. ⟨10.1007/s00023-011-0114-3⟩
Article dans une revue hal-00957504v1

Quantitative estimates on the binding energy for Hydrogen in non-relativistic QED

Jean-Marie Barbaroux , Thomas Chen , Vitali Vougalter , Semjon Vugalter
Annales Henri Poincaré, 2010, 11 (8), pp.1487-1544. ⟨10.1142/S0129055X14500160⟩
Article dans une revue hal-01253014v1
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Non analyticity of the ground state energy of the Hamiltonian for Hydrogen atom in nonrelativistic QED

Jean-Marie Barbaroux , Semjon Vugalter
Journal of Physics A: Mathematical and Theoretical, 2010, 43 (47), pp.474004. ⟨10.1088/1751-8113/43/47/474004⟩
Article dans une revue hal-00488167v1

Spectral theory for a mathematical model of the weak interactions: The decay of the intermediate vector bosons W+/-. I

Jean-Marie Barbaroux , J. -C. Guillot
Advances in Mathematical Physics, 2009, 2009, pp.978903. ⟨10.1155/2009/978903⟩
Article dans une revue hal-00377598v1

On the ground state energy of the translation invariant Pauli-Fierz model

Jean-Marie Barbaroux , Thomas Chen , Vitali Vougalter , Semjon Vugalter
Proceedings of the American Mathematical Society, 2008, 136 (3), pp.1057-1064
Article dans une revue hal-00166909v1

Exponential spatial decay of spin-spin correlations in translation invariant quasi-free states

Walter H. Aschbacher , Jean-Marie Barbaroux
Journal of Mathematical Physics, 2007, 48 (11), pp.113302. ⟨10.1063/1.2801876⟩
Article dans une revue hal-00377255v1
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Out of equilibrium correlations in the XY chain

Walter H. Aschbacher , Jean-Marie Barbaroux
Letters in Mathematical Physics, 2006, 77, ⟨10.1007/s11005-006-0049-7⟩
Article dans une revue hal-00008347v1

Quantitative estimates on the enhanced binding for the Pauli-Fierz operator

Jean-Marie Barbaroux , Helmut Linde , Semjon Vugalter
Journal of Mathematical Physics, 2005, 46 (12), pp.122103. ⟨10.1063/1.2142835⟩
Article dans une revue hal-00377277v1

Some connections between Dirac-Fock and Electron-Positron Hartree-Fock

Jean-Marie Barbaroux , Maria J. Esteban , Eric Séré
Annales de l'Institut Henri Poincare Physique Theorique, 2005, 6,No.1, pp.85-102
Article dans une revue hal-00012913v1
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On the Hartree-Fock equations of the electron-positron field

Jean-Marie Barbaroux , Walter Farkas , Bernard Helffer , Heinz Siedentop
Communications in Mathematical Physics, 2005, 255, pp.131-159. ⟨10.1007/s00220-004-1156-x⟩
Article dans une revue hal-00008350v1

Quantum electrodynamics of relativistic bound states with cutoffs

Jean-Marie Barbaroux , M. Dimassi , J. -C. Guillot
Journal of Hyperbolic Differential Equations, 2004, 1,No.2, pp.271-314. ⟨10.1142/S021989160400010X⟩
Article dans une revue hal-00012911v1

Binding conditions for atomic N-electron systems in non-relativistic QED

Jean-Marie Barbaroux , Thomas Chen , Semjon Vugalter
Annales Henri Poincaré, 2003, 4, pp.1101-1136. ⟨10.1007/s00023-003-0157-1⟩
Article dans une revue hal-00008344v1

Quantum electrodynamics of relativistic bound states with cutoffs. II

Jean-Marie Barbaroux , Mouez Dimassi , Jean-Claude Guillot
Contemporary mathematics, 2002, 307, pp.9-14
Article dans une revue hal-00377285v1

Fractal Dimensions and the Phenomenon of Intermittency in Quantum Dynamics

Jean-Marie Barbaroux , François Germinet , S. Tcheremchantsev
Duke Mathematical Journal, 2001, 110, pp.161-193
Article dans une revue hal-00092749v1

Generalized fractal dimensions: equivalence and basic properties

Jean-Marie Barbaroux , François Germinet , S. Tcheremchantsev
Journal de Mathématiques Pures et Appliquées, 2001, 80, pp.977-1012
Article dans une revue hal-00092746v1

Nonlinear variation of diffusion exponents in quantum dynamics

Jean-Marie Barbaroux , S. Tcheremchantsev , François Germinet
Comptes rendus de l'Académie des sciences. Série I, Mathématique, 2000, 330, pp.409-414
Article dans une revue hal-00092756v1

Universal Lower Bounds for Quantum Diffusion

Jean-Marie Barbaroux , J.M. Barbaroux , S. Tcheremchantsev
Journal of Functional Analysis, 1999, 168 (2), pp.327-354. ⟨10.1006/jfan.1999.3471⟩
Article dans une revue hal-03273024v1

On the Stability of the Relativistic Electron-Positron Field

Volker Bach , Jean-Marie Barbaroux , Bernard Helffer , Heinz Siedentop
Communications in Mathematical Physics, 1999, 201 (2), pp.445-460. ⟨10.1007/s002200050562⟩
Article dans une revue hal-03272676v1

Stability of matter for the Hartree-Fock functional of the relativistic electron-positron field

Volker Bach , Jean-Marie Barbaroux , Bernard Helffer , Heinz Siedentop
Documenta Mathematica, 1998, 3, pp.353-364
Article dans une revue hal-03550037v1

Expectation Values of Observables in Time-Dependent Quantum Mechanics

Jean-Marie Barbaroux , Alain Joye
Journal of Statistical Physics, 1998, 90 (5/6), pp.1125-1249. ⟨10.1023/A:1023279311564⟩
Article dans une revue hal-01233193v1

Landau Hamiltonians with Unbounded Random Potentials

Jean-Marie Barbaroux , J. Combes , P. Hislop
Letters in Mathematical Physics, 1997, 40 (4), pp.355-369. ⟨10.1023/A:1007390102610⟩
Article dans une revue hal-03273015v1

Remarks on the Relation between Quantum Dynamics and Fractal Spectra

Jean-Marie Barbaroux , J.M Barbaroux , J.M Combes , R Montcho
Journal of Mathematical Analysis and Applications, 1997, 213 (2), pp.698-722. ⟨10.1006/jmaa.1997.5571⟩
Article dans une revue hal-03273010v1

Localization near band edges for random Schrödinger operators

Jean-Marie Barbaroux , Peter D. Hislop , Jean-Michel Combes
Helvetica Physica Acta, 1997
Article dans une revue hal-03550035v1
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Spectral properties for Hamiltonians of weak interactions

Jean-Marie Barbaroux , Jérémy Faupin , Jean-Claude Guillot
International Conference on Spectral Theory and Mathematical Physics, Nov 2014, Santiago de Chile, Chile. pp.11-36
Communication dans un congrès hal-01253138v1

Some variational principles for relativistic energy functionals

Jean-Marie Barbaroux
Oberwolfach Reports, 2004, Oberwolfach, Germany. pp.2839
Communication dans un congrès hal-00008351v1

Quantum diffusion and generalized fractal dimensions: the L^2(\R^d) case

Jean-Marie Barbaroux , S. Tcheremchantsev , François Germinet
Actes des journées EDP de Nantes, 2000, nantes, France
Communication dans un congrès hal-00092738v1