. Ainsi, pour ? suffisamment petit, la condition C 1 est vérifiée

A. Arai, A theorem on essential self???adjointness with application to Hamiltonians in nonrelativistic quantum field theory, Journal of Mathematical Physics, vol.32, issue.8, pp.2082-2088, 1991.
DOI : 10.1063/1.529178

A. Arai, A particle-field Hamiltonian in relativistic quantum electrodynamics, Journal of Mathematical Physics, vol.41, issue.7, pp.4271-4283, 2000.
DOI : 10.1063/1.533341

H. Araki, On quasifree states of {${\rm CAR}$} and Bogoliubov automorphisms, Publications of the Research Institute for Mathematical Sciences, vol.6, issue.3, pp.385-44271, 1970.
DOI : 10.2977/prims/1195193913

V. Bach, J. Barbaroux, B. Helffer, and H. Siedentop, Stability of matter for the Hartree- Fock functional of the relativistic electron-positron field, Doc. Math, vol.3, pp.353-364, 1998.

V. Bach, J. Barbaroux, B. Helffer, and H. Siedentop, On the Stability of the Relativistic Electron-Positron Field, Communications in Mathematical Physics, vol.201, issue.2, pp.445-460, 1999.
DOI : 10.1007/s002200050562

V. Bach, J. Fröhlich, and I. M. Sigal, Quantum Electrodynamics of Confined Nonrelativistic Particles, Advances in Mathematics, vol.137, issue.2, pp.299-395, 1998.
DOI : 10.1006/aima.1998.1734

V. Bach, J. Fröhlich, and I. M. Sigal, Renormalization Group Analysis of Spectral Problems in Quantum Field Theory, Advances in Mathematics, vol.137, issue.2, pp.205-298, 1998.
DOI : 10.1006/aima.1998.1733

V. Bach, J. Fröhlich, I. M. Sigal, and A. Soffer, Positive Commutators and the Spectrum??of Pauli--Fierz Hamiltonian of Atoms and Molecules, Communications in Mathematical Physics, vol.207, issue.3, pp.557-587, 1999.
DOI : 10.1007/s002200050737

V. Bach, E. H. Lieb, and J. P. Solovej, Generalized Hartree-Fock theory and the Hubbard model, Journal of Statistical Physics, vol.4, issue.1-2, pp.3-89, 1994.
DOI : 10.1007/BF02188656

V. Bach and J. Fröhlich, Spectral Analysis for Systems of Atoms and Molecules Coupled to the Quantized Radiation Field, Communications in Mathematical Physics, vol.207, issue.2, pp.249-290, 1999.
DOI : 10.1007/s002200050726

E. Balslev and B. Helffer, Limiting absorption principle and resonances for the Dirac operator, Advances in Applied Mathematics, vol.13, issue.2, pp.186-215, 1992.
DOI : 10.1016/0196-8858(92)90009-L

J. Barbaroux, T. Chen, and S. Vugalter, Binding Conditions for Atomic N-electron Systems in Non-Relativistic QED, Annales Henri Poincar??, vol.4, issue.6, pp.1101-1136, 2003.
DOI : 10.1007/s00023-003-0157-1
URL : https://hal.archives-ouvertes.fr/hal-00008344

J. M. Barbaroux, J. M. Combes, and R. Montcho, Remarks on the Relation between Quantum Dynamics and Fractal Spectra, Journal of Mathematical Analysis and Applications, vol.213, issue.2, pp.698-722, 1997.
DOI : 10.1006/jmaa.1997.5571
URL : http://doi.org/10.1006/jmaa.1997.5571

J. Barbaroux, M. Dimassi, and J. Guillot, Quantum electrodynamics of relativistic bound states with cutoffs. II, Mathematical results in quantum mechanics, pp.9-14, 2002.
DOI : 10.1090/conm/307/05262
URL : https://hal.archives-ouvertes.fr/hal-00012911

J. Barbaroux, M. Dimassi, and J. Guillot, QUANTUM ELECTRODYNAMICS OF RELATIVISTIC BOUND STATES WITH CUTOFFS, Journal of Hyperbolic Differential Equations, vol.01, issue.02, pp.271-314, 2004.
DOI : 10.1142/S021989160400010X
URL : https://hal.archives-ouvertes.fr/hal-00012911

J. Barbaroux, M. J. Esteban, and E. Séré, Some Connections between Dirac-Fock and Electron-Positron Hartree-Fock, Annales Henri Poincar???, vol.6, issue.1, pp.85-102, 2005.
DOI : 10.1007/s00023-005-0199-7
URL : https://hal.archives-ouvertes.fr/hal-00012913

J. Barbaroux, W. Farkas, B. Helffer, and H. Siedentop, On the Hartree-Fock Equations of the Electron-Positron Field, Communications in Mathematical Physics, vol.104, issue.1, pp.131-159, 2005.
DOI : 10.1007/s00220-004-1156-x
URL : https://hal.archives-ouvertes.fr/hal-00012912

J. Barbaroux, F. Germinet, and S. Tcheremchantsev, Nonlinear variation of diffusion exponents in quantum dynamics, Comptes Rendus de l'Acad??mie des Sciences - Series I - Mathematics, vol.330, issue.5, pp.409-414, 2000.
DOI : 10.1016/S0764-4442(00)00192-0
URL : https://hal.archives-ouvertes.fr/hal-00092756

J. Barbaroux, F. Germinet, and S. Tcheremchantsev, Quantum diffusion and generalized R??nyi dimensions of spectral measures, Journées " ´ Equations aux Dérivées Partielles, p.16, 2000.
DOI : 10.5802/jedp.565

J. Barbaroux, F. Germinet, and S. Tcheremchantsev, Fractal dimensions and the phenomenon of intermittency in quantum dynamics, Duke Math. J, vol.110, issue.1, pp.161-193, 2001.
URL : https://hal.archives-ouvertes.fr/hal-00092749

J. Barbaroux, F. Germinet, and S. Tcheremchantsev, Generalized fractal dimensions: equivalences and basic properties, Journal de Math??matiques Pures et Appliqu??es, vol.80, issue.10, pp.80977-1012, 2001.
DOI : 10.1016/S0021-7824(01)01219-3
URL : http://doi.org/10.1016/s0021-7824(01)01219-3

J. Barbaroux and H. Schulz-baldes, Anomalous quantum transport in presence of selfsimilar spectra, Ann. Inst. H. Poincaré Phys. Théor, vol.71, issue.5, pp.539-559, 1999.

J. M. Barbaroux and S. Tcheremchantsev, Universal Lower Bounds for Quantum Diffusion, Journal of Functional Analysis, vol.168, issue.2, pp.327-354, 1999.
DOI : 10.1006/jfan.1999.3471
URL : http://doi.org/10.1006/jfan.1999.3471

M. Sh, L. S. Birman, M. Z. Koplienko, and . Solomyak, Estimates for the spectrum of the difference between fractional powers of two self-adjoint operators, Soviet Mathematics, vol.19, issue.3, pp.1-6, 1975.

M. Sh, M. Z. Birman, and . Solomjak, Spectral Theory of Selfadjoint Operators in Hilbert Space Mathematics and its Applications (Soviet Series). D, 1987.

G. E. Brown and D. G. , On the Interaction of Two Electrons, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, vol.208, issue.1095, pp.552-559, 1951.
DOI : 10.1098/rspa.1951.0181

R. Brummelhuis, N. Röhrl, and H. Siedentop, Stability of the relativistic electron-positron field of atoms in Hartree-Fock approximation: Heavy elements, Doc. Math., J. DMV, vol.6, pp.1-8, 2001.

P. Chaix and D. Iracane, From quantum electrodynamics to mean-field theory. I. The Bogoliubov-Dirac-Fock formalism, Journal of Physics B: Atomic, Molecular and Optical Physics, vol.22, issue.23, pp.3791-3814, 1989.
DOI : 10.1088/0953-4075/22/23/004

P. Chaix, D. Iracane, and P. L. Lions, From quantum electrodynamics to mean-field theory. II. Variational stability of the vacuum of quantum electrodynamics in the mean-field approximation, Journal of Physics B: Atomic, Molecular and Optical Physics, vol.22, issue.23, pp.3815-3828, 1989.
DOI : 10.1088/0953-4075/22/23/005

T. Chen, Operator-theoretic infrared renormalization and construction of dressed 1-particle states in non-relativistic QED. preprint arXiv:math-ph, 2001.

T. Chen, V. Vougalter, and S. Vugalter, The increase of binding energy and enhanced binding in nonrelativistic QED, Journal of Mathematical Physics, vol.44, issue.5, pp.1961-1970, 2003.
DOI : 10.1063/1.1562007

P. R. Chernoff, Schr??dinger and Dirac operators with singular potentials and hyperbolic equations, Pacific Journal of Mathematics, vol.72, issue.2, pp.361-382, 1977.
DOI : 10.2140/pjm.1977.72.361
URL : http://projecteuclid.org/download/pdf_1/euclid.pjm/1102811120

J. Combes, Connections Between Quantum Dynamics and Spectral Properties of Time-Evolution Operators, Differential equations with applications to mathematical physics, pp.59-68, 1993.
DOI : 10.1016/S0076-5392(08)62372-3

C. D. Cutler, Some results on the behavior and estimation of the fractal dimensions of distributions on attractors, Journal of Statistical Physics, vol.2, issue.3-4, pp.651-708, 1991.
DOI : 10.1007/BF01017978

L. Hans, R. G. Cycon, W. Froese, B. Kirsch, and . Simon, Schrödinger Operators with Application to Quantum Mechanics and Global Geometry. Text and Monographs in Physics, 1987.

G. Debì-evre and . Forni, Transport properties of kicked and quasiperiodic Hamiltonians, Journal of Statistical Physics, vol.90, issue.5/6, pp.1201-1223, 1998.
DOI : 10.1023/A:1023227327494

R. Del-rio, S. Jitomirskaya, Y. Last, and B. Simon, Operators with singular continuous spectrum, IV. Hausdorff dimensions, rank one perturbations, and localization, Journal d???Analyse Math??matique, vol.89, issue.1, pp.153-200, 1996.
DOI : 10.1007/BF02787106

J. Desclaux, Relativistic Dirac-Fock expectation values for atoms with z = 1 to z = 120. Atomic Data and Nuclear data Tables, pp.311-406, 1973.

M. Dimassi and J. Guillot, The quantum electrodynamics of relativistic bound states with cutoffs. I, Applied Mathematics Letters, vol.16, issue.4, pp.551-555, 2003.
DOI : 10.1016/S0893-9659(03)00035-1

P. A. Dirac, The Quantum Theory of the Electron, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, vol.117, issue.778, pp.610-624, 1928.
DOI : 10.1098/rspa.1928.0023

P. A. Dirac, The Quantum Theory of the Electron. Part II, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, vol.118, issue.779, pp.351-361, 1928.
DOI : 10.1098/rspa.1928.0056

P. A. Dirac, Discussion of the infinite distribution of electrons in the theory of the positron, Proc. Cambridge Philos. Soc, vol.30, pp.150-163, 1934.
DOI : 10.1017/CBO9780511608223.014

F. J. Dyson and A. Lenard, Stability of Matter. I, Journal of Mathematical Physics, vol.8, issue.3, pp.423-434, 1967.
DOI : 10.1063/1.1705209

M. J. Esteban and E. Séré, Solutions of the Dirac-Fock Equations for Atoms??and Molecules, Communications in Mathematical Physics, vol.203, issue.3, pp.499-530, 1999.
DOI : 10.1007/s002200050032

M. J. Esteban and E. Séré, Nonrelativistic Limit of the Dirac-Fock Equations, Annales Henri Poincar??, vol.2, issue.5, pp.941-961, 2001.
DOI : 10.1007/s00023-001-8600-7
URL : https://hal.archives-ouvertes.fr/hal-00453389

M. J. Esteban and E. Séré, Dirac-Fock models for atoms and molecules and related topics, XIVth International Congress on Mathematical Physics, 2003.
DOI : 10.1142/9789812704016_0003
URL : https://hal.archives-ouvertes.fr/hal-00012847

J. Maria, E. Esteban, and . Séré, A max-min principle for the ground state of the Dirac- Fock functional, Mathematical results in quantum mechanics, pp.135-141, 2002.

W. D. Evans, P. Perry, and H. Siedentop, The spectrum of relativistic one-electron atoms according to Bethe and Salpeter, Communications in Mathematical Physics, vol.36, issue.2, pp.733-746, 1996.
DOI : 10.1007/BF02108822

K. J. Falconer, The geometry of fractal sets, volume 85 of Cambridge Tracts in Mathematics, 1986.

J. Fröhlich, Existence of dressed one electron states in a class of persistent models. Fortschritte der Physik, pp.159-189, 1974.

C. Gérard, On the Existence of Ground States for Massless Pauli-Fierz Hamiltonians, Annales Henri Poincar??, vol.1, issue.3, pp.443-459, 2000.
DOI : 10.1007/s000230050002

O. Gorceix, P. Indelicato, and J. Desclaux, Multiconfiguration Dirac-Fock studies of two-electron ions. I. Electron-electron interaction, Journal of Physics B: Atomic and Molecular Physics, vol.20, issue.4, pp.639-649, 1987.
DOI : 10.1088/0022-3700/20/4/006
URL : https://hal.archives-ouvertes.fr/hal-00335447

W. Gordon, Der Comptoneffekt nach der Schr???dingerschen Theorie, Zeitschrift f???r Physik, vol.40, issue.1-2, pp.117-133, 1926.
DOI : 10.1007/BF01390840

M. Griesemer, E. Lieb, and M. Loss, Ground states in non-relativistic quantum electrodynamics, Inventiones mathematicae, vol.145, issue.3, pp.557-595, 2001.
DOI : 10.1007/s002220100159

I. Guarneri, Spectral Properties of Quantum Diffusion on Discrete Lattices, Europhysics Letters (EPL), vol.10, issue.2, pp.95-100, 1989.
DOI : 10.1209/0295-5075/10/2/001

I. Guarneri, On an Estimate Concerning Quantum Diffusion in the Presence of a Fractal Spectrum, Europhysics Letters (EPL), vol.21, issue.7, pp.729-733, 1993.
DOI : 10.1209/0295-5075/21/7/003

I. Guarneri and H. Schulz-baldes, Intermittent lower bound on quantum diffusion, Letters in Mathematical Physics, vol.49, issue.4, pp.317-324, 1999.
DOI : 10.1023/A:1007610717491

C. Hainzl, M. Lewin, and E. Séré, Existence of a stable polarized vacuum in the bogoliubovdirac-fock approximation. Texas arXiv, 2004.

C. Hainzl, M. Lewin, and E. Séré, Self-consistent solution for the polarized vacuum in a no-photon qed model. Texas arXiv, 2004.
URL : https://hal.archives-ouvertes.fr/hal-00097075

T. C. Halsey, M. Jensen, L. Kaddanov, I. Procaccia, and B. Schraiman, Fractal measures and their singularities: The characterization of strange sets, Physical Review A, vol.33, issue.2, pp.1141-1151, 1986.
DOI : 10.1103/PhysRevA.33.1141

G. Hardekopf and J. Sucher, Relativistic wave equations in momentum space, Physical Review A, vol.30, issue.2, pp.703-711, 1984.
DOI : 10.1103/PhysRevA.30.703

G. Hardekopf and J. Sucher, Critical coupling constants for relativistic wave equations and vacuum breakdown in quantum electrodynamics, Physical Review A, vol.31, issue.4, pp.2020-2029, 1985.
DOI : 10.1103/PhysRevA.31.2020

B. Helffer, J. Nourrigat, and X. P. Wang, Sur le spectre de l'??quation de Dirac (dans $\mathbb{R}^3$ ou $\mathbb{R}^2$) avec champ magn??tique, Annales scientifiques de l'??cole normale sup??rieure, vol.22, issue.4, pp.515-533, 1989.
DOI : 10.24033/asens.1591
URL : http://archive.numdam.org/article/ASENS_1989_4_22_4_515_0.pdf

H. G. Hentschel and I. Procaccia, The infinite number of generalized dimensions of fractals and strange attractors, Physica D: Nonlinear Phenomena, vol.8, issue.3, pp.235-444, 1983.
DOI : 10.1016/0167-2789(83)90235-X

I. W. Herbst, Spectral theory of the operator (p 2+m 2)1/2???Ze 2/r, Communications in Mathematical Physics, vol.73, issue.3, pp.285-294, 1977.
DOI : 10.1007/BF01609852

F. Hiroshima, Ground states of a model in nonrelativistic quantum electrodynamics. I, Journal of Mathematical Physics, vol.40, issue.12, pp.6209-6222, 1999.
DOI : 10.1063/1.533087

F. Hiroshima, Ground states of a model in nonrelativistic quantum electrodynamics. II, Journal of Mathematical Physics, vol.41, issue.2, pp.661-674, 2000.
DOI : 10.1063/1.533158

D. Hundertmark, N. Röhrl, and H. Siedentop, The Sharp Bound on the Stability??of the Relativistic Electron-Positron Field??in Hartree-Fock Approximation, Jörgens. Perturbations of the Dirac operator Proceedings of the conference on the theory of ordinary and partial differential equations, pp.629-642, 1972.
DOI : 10.1007/s002200050829

D. Kastler, IntroductionàIntroductionà l'Electrodynamique Quantique, 1960.

T. Kato, On the existence of solutions of the helium wave equation, Transactions of the American Mathematical Society, vol.70, issue.2, pp.212-218, 1951.
DOI : 10.1090/S0002-9947-1951-0041011-1

T. Kato, Perturbation Theory for Linear Operators, volume 132 of Grundlehren der mathematischen Wissenschaften, 1966.

Y. K. Kim, Relativistic Self-Consistent-Field Theory for Closed-Shell Atoms, Physical Review, vol.154, issue.1, pp.17-39, 1967.
DOI : 10.1103/PhysRev.154.17

M. Klaus and R. Wüst, Characterization and uniqueness of distinguished self-adjoint extensions of Dirac operators, Communications in Mathematical Physics, vol.152, issue.2, pp.171-176, 1979.
DOI : 10.1007/BF01197512

O. Klein, Elektrodynamik und Wellenmechanik vom Standpunkt des Korrespondenzprinzips, Zeitschrift f??r Physik A Hadrons and nuclei, vol.41, issue.6-7, pp.407-442, 1927.
DOI : 10.1007/BF01400205

Y. Last, Quantum Dynamics and Decompositions of Singular Continuous Spectra, Journal of Functional Analysis, vol.142, issue.2, pp.406-445, 1996.
DOI : 10.1006/jfan.1996.0155

E. H. Lieb, The stability of matter, Reviews of Modern Physics, vol.48, issue.4, pp.553-569, 1976.
DOI : 10.1103/RevModPhys.48.553

E. H. Lieb, The stability of matter: from atoms to stars, Bulletin of the American Mathematical Society, vol.22, issue.1, pp.1-49, 1990.
DOI : 10.1090/S0273-0979-1990-15831-8

E. H. Lieb, M. Loss, and H. Siedentop, Stability of relativistic matter via Thomas-Fermi theory, Helv. Phys. Acta, vol.69, issue.56, pp.974-984, 1996.

E. H. Lieb, H. Siedentop, and J. P. Solovej, Stability and instability of relativistic electrons in classical electromagnetic fields, Journal of Statistical Physics, vol.79, issue.2, pp.37-59, 1997.
DOI : 10.1007/BF02770753

E. H. Lieb and W. E. Thirring, Bound for the Kinetic Energy of Fermions Which Proves the Stability of Matter, Physical Review Letters, vol.35, issue.11, pp.687-689, 1975.
DOI : 10.1103/PhysRevLett.35.687

E. H. Lieb and W. E. Thirring, Inequalities for the moments of the eigenvalues of the Schrödinger Hamiltonian and their relation to Sobolev inequalities, Studies in Mathematical Physics: Essays in Honor of Valentine Bargmann, 1976.

E. H. Lieb and H. Yau, The stability and instability of relativistic matter, Communications in Mathematical Physics, vol.20, issue.2, pp.177-213, 1988.
DOI : 10.1007/BF01218577

H. Elliott, M. Lieb, and . Loss, Stability of a model of relativistic quantum electrodynamics, Comm. Math. Phys, vol.228, issue.3, pp.561-588, 2002.

H. Elliott, M. Lieb, and . Loss, Existence of atoms and molecules in non-relativistic quantum electrodynamics, Adv. Theor. Math. Phys, vol.7, issue.4, pp.667-710, 2003.

G. Mantica, Quantum intermittency in almost-periodic lattice systems derived from their spectral properties, Physica D: Nonlinear Phenomena, vol.103, issue.1-4, pp.576-589, 1997.
DOI : 10.1016/S0167-2789(96)00287-4

G. Mantica, Wave propagation in almost-periodic structures, Physica D: Nonlinear Phenomena, vol.109, issue.1-2, pp.113-127, 1997.
DOI : 10.1016/S0167-2789(97)00163-2

O. Matte, Existence of ground states for a relativistic hydrogen atom coupled to the quantized electromagnetic field, 2000.

H. Marvin and . Mittleman, Theory of relativistic effects on atoms: Configuration-space Hamiltonian, Phys. Rev. A, vol.24, issue.3, pp.1167-1175, 1981.

A. Mohamed and B. Parisse, Approximation des valeurs propres de certaines perturbations singulì eres et applicationàapplicationà l'opérateur de Dirac, Ann. Inst. H. Poincaré Phys. Théor, vol.56, issue.3, pp.235-277, 1992.

G. Nenciu, Self-adjointness and invariance of the essential spectrum for Dirac operators defined as quadratic forms, Communications in Mathematical Physics, vol.81, issue.3, pp.235-247, 1976.
DOI : 10.1007/BF01617872

G. Nenciu, Distinguished self-adjoint extension for Dirac operator with potential dominated by multicenter Coulomb potentials, Helv. Phys. Acta, vol.50, pp.1-3, 1977.

L. Olsen, A Multifractal Formalism, Advances in Mathematics, vol.116, issue.1, pp.82-195, 1995.
DOI : 10.1006/aima.1995.1066
URL : http://doi.org/10.1006/aima.1995.1066

B. Parisse, Résonances paires pour l'opérateur de Dirac, C. R. Acad. Sci. Paris Sér. I Math, vol.310, issue.5, pp.265-268, 1990.

Y. B. Pesin, Dimension theory in dynamical systems, Contemporary views and applications, 1997.
DOI : 10.7208/chicago/9780226662237.001.0001

P. Pyykkö, Relativistic Quantum Chemistry, Adv. Quantum Chem, vol.11, pp.353-409, 1978.
DOI : 10.1016/S0065-3276(08)60241-5

P. Pyykkö, Relativistic effects in structural chemistry, Chemical Reviews, vol.88, issue.3, pp.563-594, 1988.
DOI : 10.1021/cr00085a006

P. Pyykkö, Relativity, gold, closed-shell interactions, and CsAu · NH 3, Angew. Chem. Int. Ed, issue.17, p.41, 2002.

P. Pyykkö and J. Desclaux, Relativity and the periodic system of elements, Accounts of Chemical Research, vol.12, issue.8, pp.276-281, 1979.
DOI : 10.1021/ar50140a002

M. Reed and B. Simon, Methods of modern mathematical physics. I. Functional analysis, 1972.

M. Reed and B. Simon, Methods of modern mathematical physics. III, 1979.

C. C. Roothaan, New Developments in Molecular Orbital Theory, Reviews of Modern Physics, vol.23, issue.2, pp.69-89, 1951.
DOI : 10.1103/RevModPhys.23.69

U. Schmincke, Distinguished selfadjoint extensions of Dirac operators, Mathematische Zeitschrift, vol.119, issue.3, pp.335-349, 1972.
DOI : 10.1007/BF01181622

U. Schmincke, Essential selfadjointness of Dirac operators with a strongly singular potential, Mathematische Zeitschrift, vol.119, issue.3, pp.71-81, 1972.
DOI : 10.1007/BF01580357

E. Schrödinger, Quantisierung als Eigenwertproblem, Ann. Phys, vol.79, pp.361-376, 1926.

S. S. Schweber, QED and the men who made it: Dyson, Feynman, Schwinger and Tomonaga. Princeton Series in Physics, 1994.

B. Simon, Kato's inequality and the comparison of semigroups, Journal of Functional Analysis, vol.32, issue.1, pp.97-101, 1979.
DOI : 10.1016/0022-1236(79)90079-X

B. Simon, Schr??dinger semigroups, Bulletin of the American Mathematical Society, vol.7, issue.3, pp.447-526, 1982.
DOI : 10.1090/S0273-0979-1982-15041-8

B. Simon, Absence of ballistic motion, Communications in Mathematical Physics, vol.29, issue.1, pp.209-212, 1990.
DOI : 10.1007/BF02102095

H. Spohn, Ground state of a quantum particle coupled to a scalar Bose field, Letters in Mathematical Physics, vol.44, issue.1, pp.9-16, 1998.
DOI : 10.1023/A:1007473300274

J. Sucher, Foundations of the relativistic theory of many-electron atoms, Physical Review A, vol.22, issue.2, pp.348-362, 1980.
DOI : 10.1103/PhysRevA.22.348

J. Sucher, Relativistic many-electron Hamiltonians, Physica Scripta, vol.36, issue.2, pp.271-281, 1987.
DOI : 10.1088/0031-8949/36/2/015

B. Swirles, The Relativistic Self-Consistent Field, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, vol.152, issue.877, pp.625-649, 1935.
DOI : 10.1098/rspa.1935.0211

S. J. Taylor and C. Tricot, Packing measure, and its evaluation for a Brownian path, Transactions of the American Mathematical Society, vol.288, issue.2, pp.679-699, 1985.
DOI : 10.1090/S0002-9947-1985-0776398-8

B. Thaller, The Dirac Equation. Texts and Monographs in Physics, 1992.

C. Tix, Lower bound for the ground state energy of the no-pair Hamiltonian, Physics Letters B, vol.405, issue.3-4, pp.293-296, 1997.
DOI : 10.1016/S0370-2693(97)00622-9

J. Weidmann, Oszillationsmethoden f???r Systeme gew???hnlicher Differentialgleichungen, Mathematische Zeitschrift, vol.98, issue.3, pp.349-373, 1971.
DOI : 10.1007/BF01109887

S. Weinberg, The quantum theory of fields, Foundations, vol.I, 1996.

R. Wüst, A convergence theorem for selfadjoint operators applicable to Dirac operators with cutoff potentials, Mathematische Zeitschrift, vol.125, issue.II. Ser., pp.339-349, 1973.
DOI : 10.1007/BF01174908

R. Wüst, Distinguished self-adjoint extensions of dirac operators constructed by means of cut-off potentials, Mathematische Zeitschrift, vol.131, issue.1, pp.93-98, 1975.
DOI : 10.1007/BF01236987

R. Wüst, Dirac operations with strongly singular potentials, Mathematische Zeitschrift, vol.141, issue.3, pp.259-271, 1977.
DOI : 10.1007/BF01488968

G. M. Zislin, A study of the spectrum of the Schrödinger operator for a system of several particles, Trudy Moskov. Mat. Obsc, vol.9, pp.81-120, 1960.

. Liste-de-travaux-de-jean-marie, Barbaroux ? Remarks on the relation between quantum dynamics and fractal spectra, avec J.M. Combes, R. Montcho), pp.698-722, 1997.