Christian Hainzl

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All published works

Action	Title	Year	Authors
+ PDF Chat	Deux modèles effectifs pour les champs électromagnétiques dans le vide de Dirac	2016	Philippe Gravejat Christian Hainzl Mathieu Lewin Éric Séré
+ PDF Chat	On the Well-Posedness and Scattering for the Gross–Pitaevskii Hierarchy via Quantum de Finetti	2014	Thomas Chen Christian Hainzl Nataša Pavlović Robert Seiringer
+ PDF Chat	Two Hartree-Fock models for the vacuum polarization	2013	Philippe Gravejat Christian Hainzl Mathieu Lewin Éric Séré
+ PDF Chat	MICROSCOPIC DERIVATION OF THE GINZBURG-LANDAU MODEL	2013	Rupert L. Frank Christian Hainzl Robert Seiringer Jan Philip Solovej
+ PDF Chat	Construction of the Pauli–Villars-Regulated Dirac Vacuum in Electromagnetic Fields	2013	Philippe Gravejat Christian Hainzl Mathieu Lewin Éric Séré
+ PDF Chat	Ground state properties of graphene in Hartree-Fock theory	2012	Christian Hainzl Mathieu Lewin Christof Sparber
+ PDF Chat	A spatially homogeneous and isotropic Einstein–Dirac cosmology	2011	Felix Finster Christian Hainzl
+ PDF Chat	The thermodynamic limit of quantum Coulomb systems Part I. General theory	2009	Christian Hainzl Mathieu Lewin Jan Philip Solovej
+	A linear criterion for solutions of non-linear equations, with application to the BCS gap equation	2009	Christian Hainzl Robert Seiringer
+ PDF Chat	Stellar Collapse in the Time Dependent Hartree-Fock Approximation	2008	Christian Hainzl Benjamin Schlein
+ PDF Chat	THE THERMODYNAMIC LIMIT OF QUANTUM COULOMB SYSTEMS: A NEW APPROACH	2008	Christian Hainzl MATHIEW LEWIN Jan Philip Solovej
+ PDF Chat	Existence of Atoms and Molecules in the Mean-Field Approximation of No-Photon Quantum Electrodynamics	2008	Christian Hainzl Mathieu Lewin Éric Séré
+	The Thermodynamic Limit of Quantum Coulomb Systems Part I. General Theory	2008	Christian Hainzl Mathieu Lewin Jan Philip Solovej
+ PDF Chat	The mean‐field approximation in quantum electrodynamics: The no‐photon case	2006	Christian Hainzl Mathieu Lewin Jan Philip Solovej
+ PDF Chat	Existence of a Stable Polarized Vacuum in the Bogoliubov-Dirac-Fock Approximation	2005	Christian Hainzl Mathieu Lewin Éric Séré
+ PDF Chat	Self-consistent solution for the polarized vacuum in a no-photon QED model	2005	Mathieu Lewin Christian Hainzl Éric Séré
+ PDF Chat	Existence of Global-In-Time Solutions to a Generalized Dirac-Fock Type Evolution Equation	2005	Christian Hainzl Mathieu Lewinand Christof Sparber
+ PDF Chat	On the Vacuum Polarization Density Caused by an External Field	2004	Christian Hainzl
+	Bounds on one-dimensional exchange energies with application to lowest Landau band quantum mechanics	2001	Christian Hainzl Robert Seiringer

Common Coauthors

Coauthor	Papers Together
Mathieu Lewin	10
Éric Séré	6
Jan Philip Solovej	5
Robert Seiringer	4
Philippe Gravejat	3
Christof Sparber	2
Rupert L. Frank	1
Mathieu Lewinand	1
MATHIEW LEWIN	1
Felix Finster	1
Benjamin Schlein	1
Thomas Chen	1
Nataša Pavlović	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	On the Stability of the Relativistic Electron-Positron Field	1999	Volker Bach Jean-Marie Barbaroux Bernard Helffer Heinz Siedentop	8
+ PDF Chat	Existence of a Stable Polarized Vacuum in the Bogoliubov-Dirac-Fock Approximation	2005	Christian Hainzl Mathieu Lewin Éric Séré	7
+	Trace Ideals and Their Applications	2010	Barry Simon	7
+ PDF Chat	Non-Perturbative Mass and Charge Renormalization in Relativistic No-Photon Quantum Electrodynamics	2003	Christian Hainzl Heinz Siedentop	6
+ PDF Chat	The mean‐field approximation in quantum electrodynamics: The no‐photon case	2006	Christian Hainzl Mathieu Lewin Jan Philip Solovej	6
+ PDF Chat	Generalized Hartree-Fock theory and the Hubbard model	1994	Volker Bach Élliott H. Lieb Jan Philip Solovej	6
+	Solutions of the Dirac-Fock Equations for Atoms¶and Molecules	1999	Maria J. Esteban Éric Séré	5
+ PDF Chat	Renormalization of the Regularized Relativistic Electron-Positron Field	2000	Élliott H. Lieb Heinz Siedentop	5
+	On Bogoliubov transformations for systems of relativistic charged particles	1977	S. N. M. Ruijsenaars	4
+ PDF Chat	On the Invariant Regularization in Relativistic Quantum Theory	1949	Wolfgang Pauli F. Villars	4
+	On Gauge Invariance and Vacuum Polarization	1951	Julian Schwinger	4
+	TRACE IDEALS AND THEIR APPLICATIONS (London Mathematical Society Lecture Note Series, 35)	1980	J. A. Erdös	4
+ PDF Chat	On the Vacuum Polarization Density Caused by an External Field	2004	Christian Hainzl	4
+ PDF Chat	Self-consistent solution for the polarized vacuum in a no-photon QED model	2005	Mathieu Lewin Christian Hainzl Éric Séré	4
+ PDF Chat	Nonrelativistic Limit of the Dirac-Fock Equations	2001	Maria J. Esteban Éric Séré	4
+	Renormalization of the Regularized Relativistic Electron-Positron Field	2001	Élliott H. Lieb Heinz Siedentop	4
+ PDF Chat	Renormalization and Asymptotic Expansion of Dirac’s Polarized Vacuum	2011	Philippe Gravejat Mathieu Lewin Éric Séré	3
+	Bound for the Kinetic Energy of Fermions Which Proves the Stability of Matter	1975	Élliott H. Lieb Walter Thirring	3
+	The energy of charged matter	2006	Jan Philip Solovej	3
+	Stability of Matter	2005	Michael Loss	3
+	Stability of matter through an electrostatic inequality	1995	Gian Michele Graf	3
+	Mean Entropy of States in Quantum-Statistical Mechanics	1968	Oscar E. Lanford Derek W. Robinson	3
+	Variational Principle for Many-Fermion Systems	2006	Élliott H. Lieb	3
+ PDF Chat	Upper Bounds to the Ground State Energies of the One- and Two-Component Charged Bose Gases	2006	Jan Philip Solovej	3
+ PDF Chat	Ground State Energy of the Two-Component Charged Bose Gas	2004	Élliott H. Lieb Jan Philip Solovej	3
+ PDF Chat	The thermodynamic limit for a crystal	1985	Charles Fefferman	3
+ PDF Chat	Minimization method for relativistic electrons in a mean-field approximation of quantum electrodynamics	2007	Christian Hainzl Mathieu Lewin Éric Séré Jan Philip Solovej	3
+ PDF Chat	A max-min principle for the ground state of the Dirac-Fock functional	2002	Maria J. Esteban Éric Séré	3
+	The free energy of a macroscopic system	1964	Michael E. Fisher	3
+ PDF Chat	Solutions of the Dirac-Fock Equations without Projector	2000	Éric Paturel	3
+ PDF Chat	Ground State and Charge Renormalization in a Nonlinear Model of Relativistic Atoms	2008	Philippe Gravejat Mathieu Lewin Éric Séré	3
+ PDF Chat	The Hartree-Fock theory for Coulomb systems	1977	Élliott H. Lieb Barry Simon	3
+ PDF Chat	Variational methods in relativistic quantum mechanics	2008	Maria J. Esteban Mathieu Lewin Éric Séré	3
+ PDF Chat	On the molecular limit of Coulomb gases	1995	Gian Michele Graf Daniel Schenker	3
+ PDF Chat	Stability of Matter. II	1968	Andrew Lenard Freeman J. Dyson	3
+	On the Eigenvalues of Operators with Gaps. Application to Dirac Operators	2000	Jean Dolbeault Maria J. Esteban Éric Séré	2
+ PDF Chat	Microscopic derivation of Ginzburg-Landau theory	2012	Rupert L. Frank Christian Hainzl Robert Seiringer Jan Philip Solovej	2
+	The Index of a Pair of Projections	1994	J. E. Avron R. Seiler Barry Simon	2
+	Microscopic Derivation of Ginzburg-Landau Theory	2011	Rupert L. Frank Christian Hainzl Robert Seiringer Jan Philip Solovej	2
+	Methods of Modern Mathematical Physics	1972	Michael C. Reed Barry Simon	2
+ PDF Chat	There are no unfilled shells in unrestricted Hartree-Fock theory	1994	Volker Bach Élliott H. Lieb Michael Loss Jan Philip Solovej	2
+ PDF Chat	Fine Structure of the Hydrogen Atom by a Microwave Method	1947	Willis E. Lamb Robert C. Retherford	2
+	The thermodynamic limit of quantum Coulomb systems Part II. Applications	2009	Christian Hainzl Mathieu Lewin Jan Philip Solovej	2
+ PDF Chat	Construction of the Pauli–Villars-Regulated Dirac Vacuum in Electromagnetic Fields	2013	Philippe Gravejat Christian Hainzl Mathieu Lewin Éric Séré	2
+ PDF Chat	Proof of the ionization conjecture in a reduced Hartree-Fock model	1991	Jan Philip Solovej	2
+	The Thomas-Fermi theory of atoms, molecules and solids	1977	Élliott H. Lieb Barry Simon	2
+ PDF Chat	Asymptotics of heavy atoms in high magnetic fields: II. Semiclassical regions	1994	Élliott H. Lieb Jan Philip Solovej Jakob Yngvason	2
+	Quantum mechanics, the stability of matter and quantum electrodynamics	2008	Élliott H. Lieb	2
+	The Stability and Instability of Relativistic Matter	2006	Élliott H. Lieb Horng-Tzer Yau	2
+ PDF Chat	Electron–positron pair production in the external electromagnetic field of colliding relativistic heavy ions	2002	Andreas Aste G. Baur K. Hencken D. Trautmann G. Scharf	2