Heinz Siedentop

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All published works

Action	Title	Year	Authors
+ PDF Chat	The Ground State Energy of Heavy Atoms: Leading and Subleading Asymptotics	2024	Long Meng Heinz Siedentop
+ PDF Chat	RELATIVISTIC STRONG SCOTT CONJECTURE: A SHORT PROOF	2023	Rupert L. Frank Konstantin Merz Heinz Siedentop
+ PDF Chat	MATHEMATICAL ELEMENTS OF DENSITY FUNCTIONAL THEORY	2023	Heinz Siedentop
+ PDF Chat	A STATISTICAL THEORY OF HEAVY ATOMS: ENERGY AND EXCESS CHARGE	2023	Hongshuo Chen Rupert L. Frank Heinz Siedentop
+ PDF Chat	The Scott conjecture for large Coulomb systems: a review	2023	Rupert L. Frank Konstantin Merz Heinz Siedentop
+ PDF Chat	Proof of the strong Scott conjecture for heavy atoms: the Furry picture	2022	Konstantin Merz Heinz Siedentop
+	Mathematical Elements of Density Functional Theory	2022	Heinz Siedentop
+	The Scott conjecture for large Coulomb systems: a review	2022	Rupert L. Frank Konstantin Merz Heinz Siedentop
+ PDF Chat	A statistical theory of heavy atoms: Asymptotic behavior of the energy and stability of matter	2021	Heinz Siedentop
+ PDF Chat	A statistical theory of heavy atoms: Asymptotic behavior of the energy and stability of matter	2021	Heinz Siedentop
+	A Statistical Theory of Heavy Atoms: Asymptotic Behavior of the Energy and Stability of Matter	2021	Heinz Siedentop
+ PDF Chat	On the excess charge of a relativistic statistical model of molecules with an inhomogeneity correction	2020	Hongshuo Chen Heinz Siedentop
+	A Statistical Theory of Heavy Atoms: Energy and Excess Charge	2020	Hongshuo Chen Rupert L. Frank Heinz Siedentop
+	Relativistic Strong Scott Conjecture: A Short Proof	2020	Rupert L. Frank Konstantin Merz Heinz Siedentop
+ PDF Chat	Equivalence of Sobolev Norms Involving Generalized Hardy Operators	2019	Rupert L. Frank Konstantin Merz Heinz Siedentop
+ PDF Chat	The Atomic Density on the Thomas—Fermi Length Scale for the Chandrasekhar Hamiltonian	2019	Konstantin Merz Heinz Siedentop
+	Proof of the Strong Scott Conjecture for Chandrasekhar Atoms	2019	Rupert L. Frank Konstantin Merz Heinz Siedentop Barry Simon
+ PDF Chat	The maximal negative ion of the time-dependent Thomas-Fermi and the Vlasov atom	2018	Li Chen Heinz Siedentop
+	Blow-up of solutions to the Patlak–Keller–Segel equation in dimension <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="mml1" display="inline" overflow="scroll" altimg="si1.gif"><mml:mi>ν</mml:mi><mml:mo>≥</mml:mo><mml:mn>2</mml:mn></mml:math>	2017	Li Chen Heinz Siedentop
+	Blow-Up of Solutions to the Patlak-Keller-Segel Equation in Dimension $ν\geq2$	2017	Li Chen Heinz Siedentop
+ PDF Chat	Accumulation rate of bound states of dipoles in graphene	2016	Simone Rademacher Heinz Siedentop
+ PDF Chat	The Ground State Energy of Heavy Atoms: The Leading Correction	2015	Michael Handrek Heinz Siedentop
+ PDF Chat	Dipoles in graphene have infinitely many bound states	2014	Jean‐Claude Cuenin Heinz Siedentop
+	Positivity of<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:msup><mml:mrow><mml:mo stretchy="false">\|</mml:mo><mml:mi mathvariant="fraktur">p</mml:mi><mml:mo stretchy="false">\|</mml:mo></mml:mrow><mml:mrow><mml:mi>a</mml:mi></mml:mrow></mml:msup><mml:msup><mml:mrow><mml:mo stretchy="false">\|</mml:mo><mml:mi mathvariant="fraktur">q</mml:mi><mml:mo stretchy="false">\|</mml:mo></mml:mrow><mml:mrow><mml:mi>b</mml:mi></mml:mrow></mml:msup><mml:mo>+</…	2013	Li Chen Heinz Siedentop
+ PDF Chat	On the Maximal Excess Charge of the Chandrasekhar–Coulomb Hamiltonian in Two Dimension	2013	Michael Handrek Heinz Siedentop
+	Positivity of $\|p\|^a\|q\|^b+\|q\|^b\|p\|^a$	2013	Li Chen Heinz Siedentop
+	Positivity of $\|p\|^a\|q\|^b+\|q\|^b\|p\|^a$	2013	Li Chen Heinz Siedentop
+ PDF Chat	Stability of impurities with Coulomb potential in graphene with homogeneous magnetic field	2012	Thomas Maier Heinz Siedentop
+ PDF Chat	Signatures of Wigner molecule formation in interacting Dirac fermion quantum dots	2011	Tomi Paananen Reinhold Egger Heinz Siedentop
+ PDF Chat	Multiparticle equations for interacting Dirac fermions in magnetically confined graphene quantum dots	2010	Reinhold Egger Alessandro De Martino Heinz Siedentop Edgardo Stockmeyer
+ PDF Chat	The asymptotic behaviour of the ground state energy of the Müller functional for heavy atomsDas asymptotische Verhalten der Grundzustandsenergie des Müllerfunktionals für schwere Atome	2009	Heinz Siedentop
+ PDF Chat	The asymptotic behaviour of the ground state energy of the Müller functional for heavy atoms	2009	Heinz Siedentop
+ PDF Chat	The energy of heavy atoms according to Brown and Ravenhall: the Scott correction	2009	Rupert L. Frank Heinz Siedentop Simone Warzel
+ PDF Chat	Das asymptotische Verhalten der Grundzustandsenergie des Muellerfunktionals fuer schwere Atome	2008	Heinz Siedentop
+	Dilation analytic methods	2008	Heinz Siedentop
+	A generalization of Rouché's theorem with application to resonances	2008	Heinz Siedentop
+ PDF Chat	Stability of atoms and molecules in an ultrarelativistic Thomas-Fermi-Weizsäcker model	2008	Rafael D. Benguria Michael Loss Heinz Siedentop
+	The Energy of Heavy Atoms According to Brown and Ravenhall: The Scott Correction	2008	Rupert L. Frank Heinz Siedentop Simone Warzel
+ PDF Chat	The Ground State Energy of Heavy Atoms: Relativistic Lowering of the Leading Energy Correction	2007	Rupert L. Frank Heinz Siedentop Simone Warzel
+ PDF Chat	Müller’s exchange-correlation energy in density-matrix-functional theory	2007	Rupert L. Frank Élliott H. Lieb Robert Seiringer Heinz Siedentop
+	The spectrum of relativistic atoms according to Bethe and Salpeter and beyond	2006	Heinz Siedentop
+ PDF Chat	The ground-state energy of heavy atoms according to Brown and Ravenhall: absence of relativistic effects in leading order	2006	Roch Cassanas Heinz Siedentop
+	Solutions of the Dirac–Fock Equations and the Energy of the Electron-Positron Field	2006	Matthias Huber Heinz Siedentop
+	Stability of Relativistic Matter via Thomas-Fermi Theory	2006	Élliott H. Lieb Michael Loss Heinz Siedentop
+	Stability and Instability of Relativistic Electrons in Classical Electromagnetic Fields	2006	Élliott H. Lieb Heinz Siedentop Jan Philip Solovej
+ PDF Chat	The Douglas-Kroll-Heß Method: Convergence and Block-Diagonalization of Dirac Operators	2006	Heinz Siedentop Edgardo Stockmeyer
+	Remarks on the Mittleman max–min variational method for the electron-positron field	2005	Jean-Marie Barbaroux Bernard Helffer Heinz Siedentop
+	An analytic Douglas–Kroll–Heß method	2005	Heinz Siedentop Edgardo Stockmeyer
+ PDF Chat	On the Hartree-Fock Equations of the Electron-Positron Field	2004	Jean-Marie Barbaroux Walter Farkas Bernard Helffer Heinz Siedentop
+	The optimal size of the exchange hole and reduction to one-particle Hamiltonians	2004	Paul Mancas A. M�ller Heinz Siedentop
+ PDF Chat	Non-Perturbative Mass and Charge Renormalization in Relativistic No-Photon Quantum Electrodynamics	2003	Christian Hainzl Heinz Siedentop
+	The optimal size of the exchange hole and reduction to one-particle Hamiltonians	2003	Paul Mancas A. M�ller Heinz Siedentop
+	STABILITY OF THE BROWN-RAVENHALL OPERATOR	2002	Georg Hoever Heinz Siedentop
+	Asymptotic behavior of the one-particle density matrix of atoms at distances $Z^{-1}$ from the nucleus	2001	Alexei Iantchenko Heinz Siedentop
+ PDF Chat	Dissociation of Homonuclear Relativistic Molecular Ions	2001	Rafael D. Benguria Heinz Siedentop Edgardo Stockmeyer
+	Stability and Instability of Relativistic Electrons in Classical Electromagnetic Fields	2001	Élliott H. Lieb Heinz Siedentop Jan Philip Solovej
+	Renormalization of the Regularized Relativistic Electron-Positron Field	2001	Élliott H. Lieb Heinz Siedentop
+	Stability of Relativistic Matter via Thomas—Fermi Theory	2001	Élliott H. Lieb Michael Loss Heinz Siedentop
+ PDF Chat	Renormalization of the Regularized Relativistic Electron-Positron Field	2000	Élliott H. Lieb Heinz Siedentop
+	The Sharp Bound on the Stability¶of the Relativistic Electron-Positron Field¶in Hartree-Fock Approximation	2000	Dirk Hundertmark Norbert Röhrl Heinz Siedentop
+	A Minimax Principle for the Eigenvalues in Spectral Gaps	1999	Marcel Griesemer Heinz Siedentop
+	On the Stability of the Relativistic Electron-Positron Field	1999	Volker Bach Jean-Marie Barbaroux Bernard Helffer Heinz Siedentop
+ PDF Chat	A minimax principle for eigenvalues in spectral gaps: Dirac operators with Coulomb potentials.	1999	Marcel Griesemer Roger T. Lewis Heinz Siedentop
+ PDF Chat	Stability and instability of relativistic electrons in classical electromagnetic fields	1997	Élliott H. Lieb Heinz Siedentop Jan Philip Solovej
+ PDF Chat	Stability of Relativistic Matter with Magnetic Fields	1997	Élliott H. Lieb Heinz Siedentop Jan Philip Solovej
+	The essential spectrum of relativistic multi-particle operators	1997	Roger T. Lewis Heinz Siedentop Simeon A. Vugalter
+	Stability of Relativistic Matter via Thomas-Fermi Theory	1997	Élliott H. Lieb Michael Loss Heinz Siedentop
+ PDF Chat	Counting eigenvalues using coherent states with an application to Dirac and Schrödinger operators in the semi-classical limit	1996	W. D. Evans Roger T. Lewis Heinz Siedentop Jan Philip Solovej
+ PDF Chat	The spectrum of relativistic one-electron atoms according to Bethe and Salpeter	1996	W. D. Evans Peter Perry Heinz Siedentop
+	Proof of the Strong Scott Conjecture for Atomic and Molecular Cores	1995	Alexei Iantchenko Élliott H. Lieb Heinz Siedentop
+	Regularization of atomic Schrödinger operators with magnetic field	1995	Bernard Helffer Heinz Siedentop
+	Asymptotically correct lower bound for the sum of negative eigenvalues of Schrödinger operators through a decomposition of unity given by Macke	1994	Heinz Siedentop Rudi Weikard
+	On the number of bound states of a bosonicN-particle Coulomb system	1993	Volker Bach Roger T. Lewis Élliott H. Lieb Heinz Siedentop
+	First‐order corrections to sums of zeroth and first power of absolute values of negative eigenvalues of Schrödinger operators with potentials with Coulomb singularity in the semiclassical limit	1993	Heinz Siedentop
+	Bounds on the excess charge and the ionization energy for the Hellmann-Weizsacker model	1992	Rafael D. Benguria Stefan Hoops Heinz Siedentop
+	Convexity and concavity of eigenvalue sums	1991	Élliott H. Lieb Heinz Siedentop
+ PDF Chat	A new phase space localization technique with application to the sum of negative eigenvalues of Schrödinger operators	1991	Heinz Siedentop Rudi Weikard
+	On a generalization of Rouché's theorem for trace ideals with applications for resonances of Schrödinger operators	1989	Heinz Siedentop
+	On the leading correction of the Thomas-Fermi model: Lower bound	1989	Heinz Siedentop Rudi Weikard Andreas Müller
+	Proof of Scott's conjecture	1989	Heinz Siedentop Rudi Weikard
+ PDF Chat	Localization of Discrete Spectrum of Multiparticle Schrödinger Operators	1985	Heinz Siedentop
+	Modification of Müller's variational principle for Schrödinger operators with spherical symmetric potential	1985	Heinz Siedentop
+	Dimension of eigenspaces of Schrödinger operators-local Birman-Schwinger bound	1985	Heinz Siedentop
+	On the width of resonances	1984	Heinz Siedentop
+	On bracketing of energy eigenvalues of multiparticle systems	1983	Heinz Siedentop
+	Bound on resonance eigenvalues of Schrödinger operators	1983	Heinz Siedentop
+ PDF Chat	Localization of Eigenvalues by a Modification of Müller′s Variational Principle in Some Exactly Solvable Cases	1983	Heinz Siedentop
+	Localization of eigenvalues of Schrödinger operators — Local Birman-Schwinger bound	1983	Heinz Siedentop
+	On the relation between the hellmann energy functional and the ground state energy of anN-fermion system	1981	Heinz Siedentop

Common Coauthors

Coauthor	Papers Together
Élliott H. Lieb	13
Rupert L. Frank	12
Konstantin Merz	8
Jan Philip Solovej	5
Michael Loss	4
Bernard Helffer	4
Edgardo Stockmeyer	4
Roger T. Lewis	4
Rudi Weikard	4
Hongshuo Chen	3
Rafael D. Benguria	3
Jean-Marie Barbaroux	3
Li Chen	3
Simone Warzel	3
W. D. Evans	2
Marcel Griesemer	2
Paul Mancas	2
Alexei Iantchenko	2
Reinhold Egger	2
Volker Bach	2
A. M�ller	2
Michael Handrek	2
Li Chen	2
Thomas Maier	1
Peter Perry	1
Simone Rademacher	1
Walter Farkas	1
Jean-Claude Cuenin	1
Barry Simon	1
Christian Hainzl	1
Stefan Hoops	1
Alessandro De Martino	1
Simeon A. Vugalter	1
Georg Hoever	1
Andreas Müller	1
Li Chen	1
Dirk Hundertmark	1
Long Meng	1
Roch Cassanas	1
Matthias Huber	1
Tomi Paananen	1
Norbert Röhrl	1
Robert Seiringer	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	The Thomas-Fermi theory of atoms, molecules and solids	1977	Élliott H. Lieb Barry Simon	24
+ PDF Chat	The spectrum of relativistic one-electron atoms according to Bethe and Salpeter	1996	W. D. Evans Peter Perry Heinz Siedentop	16
+ PDF Chat	The stability and instability of relativistic matter	1988	Élliott H. Lieb Horng‐Tzer Yau	15
+ PDF Chat	Spectral theory of the operator (p 2+m 2)1/2−Ze 2/r	1977	Ira Herbst	13
+	The Eigenvalue Sum of a One-Dimensional Potential	1994	Charles Fefferman Luis Seco	13
+	The Stability and Instability of Relativistic Matter	2006	Élliott H. Lieb Horng-Tzer Yau	12
+	Eigenvalues and eigenfunctions of ordinary differential operators	1992	Charles Fefferman Luis Seco	12
+	Trace Ideals and Their Applications	2010	Barry Simon	11
+ PDF Chat	The Ground State Energy of Heavy Atoms: Relativistic Lowering of the Leading Energy Correction	2007	Rupert L. Frank Heinz Siedentop Simone Warzel	10
+ PDF Chat	An upper bound for the number of electrons in a large ion	1989	Charles Fefferman Luis Seco	10
+	Methods of Modern Mathematical Physics	1972	Michael C. Reed Barry Simon	9
+ PDF Chat	An uncertainty principle for fermions with generalized kinetic energy	1983	Ingrid Daubechies	9
+ PDF Chat	The energy of heavy atoms according to Brown and Ravenhall: the Scott correction	2009	Rupert L. Frank Heinz Siedentop Simone Warzel	9
+ PDF Chat	Relativistic Scott correction for atoms and molecules	2009	Jan Philip Solovej Thomas Østergaard Sørensen Wolfgang L. Spitzer	9
+	Strict Positivity of a Relativistic Hamiltonian Due to Brown and Ravenhall	1998	C. Tix	8
+	A proof of Scott's conjecture for ions	1989	Volker Bach	8
+	An atomic energy lower bound that agrees with Scott's correction	1990	Webster Hughes	8
+ PDF Chat	The large-Z Behavior of pseudorelativistic atoms	2005	Thomas Østergaard Sørensen	8
+ PDF Chat	A new phase space localization technique with application to the sum of negative eigenvalues of Schrödinger operators	1991	Heinz Siedentop Rudi Weikard	8
+ PDF Chat	Stability of Matter in Magnetic Fields	1995	Élliott H. Lieb Michael Loss Jan Philip Solovej	8
+ PDF Chat	The ground state energy of a classical gas	1984	Joseph G. Conlon	8
+ PDF Chat	A lower bound with the best possible constant for Coulomb Hamiltonians	1981	Walter Thirring	8
+	On the Stability of the Relativistic Electron-Positron Field	1999	Volker Bach Jean-Marie Barbaroux Bernard Helffer Heinz Siedentop	8
+	A Minimax Principle for the Eigenvalues in Spectral Gaps	1999	Marcel Griesemer Heinz Siedentop	8
+	Bound for the Kinetic Energy of Fermions Which Proves the Stability of Matter	1975	Élliott H. Lieb Walter Thirring	8
+	Asymptotics of the Ground State Energies of Large Coulomb Systems	1993	V. Ja. Ivrii Israel Michael Sigal	7
+	On the leading correction of the Thomas-Fermi model: Lower bound	1989	Heinz Siedentop Rudi Weikard Andreas Müller	7
+	A lower bound for Coulomb energies	1979	Élliott H. Lieb	7
+ PDF Chat	Perturbation Theory for Linear Operators	1995	Tosio Kato	7
+ PDF Chat	A minimax principle for eigenvalues in spectral gaps: Dirac operators with Coulomb potentials.	1999	Marcel Griesemer Roger T. Lewis Heinz Siedentop	7
+ PDF Chat	Self-adjointness and invariance of the essential spectrum for Dirac operators defined as quadratic forms	1976	G. Nenciu	7
+ PDF Chat	Müller’s exchange-correlation energy in density-matrix-functional theory	2007	Rupert L. Frank Élliott H. Lieb Robert Seiringer Heinz Siedentop	6
+	Dimension of eigenspaces of Schrödinger operators-local Birman-Schwinger bound	1985	Heinz Siedentop	6
+	Hardy-Lieb-Thirring inequalities for fractional Schrödinger operators	2007	Rupert L. Frank Élliott H. Lieb Robert Seiringer	6
+	The optimal size of the exchange hole and reduction to one-particle Hamiltonians	2004	Paul Mancas A. M�ller Heinz Siedentop	6
+ PDF Chat	Lower bound for the ground state energy of the no-pair Hamiltonian	1997	C. Tix	6
+	Stability of Coulomb systems in a magnetic field.	1995	Charles Fefferman	5
+ PDF Chat	The Thomas-Fermi-Theory as result of a strong-coupling-limit	1976	Bernhard Baumgartner	5
+ PDF Chat	Reduced density matrix functional for many-electron systems	2008	S. Sharma J. K. Dewhurst Nektarios N. Lathiotakis E. K. U. Gross	5
+	On solutions to the Hartree-Fock problem for atoms and molecules	1974	Élliott H. Lieb Barry Simon	5
+ PDF Chat	The Hartree-Fock theory for Coulomb systems	1977	Élliott H. Lieb Barry Simon	5
+ PDF Chat	The ground-state energy of heavy atoms according to Brown and Ravenhall: absence of relativistic effects in leading order	2006	Roch Cassanas Heinz Siedentop	5
+	Kato's inequality and the comparison of semigroups	1979	Barry Simon	5
+ PDF Chat	Stability of Relativistic Matter with Magnetic Fields	1997	Élliott H. Lieb Heinz Siedentop Jan Philip Solovej	5
+	Variational Principle for Many-Fermion Systems	2006	Élliott H. Lieb	5
+ PDF Chat	On the Maximal Excess Charge of the Chandrasekhar–Coulomb Hamiltonian in Two Dimension	2013	Michael Handrek Heinz Siedentop	4
+	A CORRELATION ESTIMATE WITH APPLICATIONS TO QUANTUM SYSTEMS WITH COULOMB INTERACTIONS	1994	Gian Michele Graf Jan Philip Solovej	4
+ PDF Chat	Nonrelativistic Limit of the Dirac-Fock Equations	2001	Maria J. Esteban Éric Séré	4
+ PDF Chat	On characteristic exponents in turbulence	1984	Élliott H. Lieb	4
+	Solutions of the Dirac-Fock Equations for Atoms¶and Molecules	1999	Maria J. Esteban Éric Séré	4