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1

On the Hartree-Fock Equations of the Electron-Positron Field

Jean-Marie Barbaroux, Walter Farkas, Bernard Helffer, Heinz Siedentop

Journal:

Communications in Mathematical Physics

Year:

2005

Language:

english

File:

PDF, 285 KB

english, 2005

2

On the leading correction of the Thomas-Fermi model: Lower bound

Heinz Siedentop, Rudi Weikard, A. M. Klaus Müller

Journal:

Inventiones mathematicae

Year:

1989

Language:

english

File:

PDF, 1.20 MB

english, 1989

3

[Lecture Notes Series, Institute for Mathematical Sciences, National University of Singapore] Complex Quantum Systems Volume 24 (Analysis of Large Coulomb Systems) || ON THE DYNAMICS OF A FERMI GAS IN A RANDOM MEDIUM WITH DYNAMICAL HARTREE FOCK INTERACTIONS

Siedentop, Heinz

Year:

2013

Language:

english

File:

PDF, 316 KB

english, 2013

4

The Sharp Bound on the Stability¶of the Relativistic Electron-Positron Field¶in Hartree–Fock Approximation

Dirk Hundertmark, Norbert Röhrl, Heinz Siedentop

Journal:

Communications in Mathematical Physics

Year:

2000

Language:

english

File:

PDF, 121 KB

english, 2000

5

Positivity of

Chen, Li, Siedentop, Heinz

Journal:

Journal of Functional Analysis

Year:

2013

Language:

english

File:

PDF, 279 KB

english, 2013

6

[Lecture Notes in Physics] Large Coulomb Systems Volume 695 || Mathematical Theory of the Wigner-Weisskopf Atom

Dereziński, Jan, Siedentop, Heinz

Year:

2006

Language:

english

File:

PDF, 1.34 MB

english, 2006

7

Asymptotically correct lower bound for the sum of negative eigenvalues of SchrÃ¶dinger operators through a decomposition of unity given by Macke

Siedentop, Heinz, Weikard, Rudi

Journal:

Asymptotic Analysis

Year:

1994

File:

PDF, 809 KB

1994

8

On a generalization of Rouché's theorem for trace ideals with applications for resonances of Schrödinger operators

Heinz K.H Siedentop

Journal:

Journal of Mathematical Analysis and Applications

Year:

1989

Language:

english

File:

PDF, 321 KB

english, 1989

9

Universality of the Fermi-Hellmann model

Volker Bach, Heinz Siedentop

Journal:

Journal of Mathematical Analysis and Applications

Year:

1991

Language:

english

File:

PDF, 405 KB

english, 1991

10

Localization of eigenvalues of Schrödinger operators — Local Birman-Schwinger bound

Heinz K.H. Siedentop

Journal:

Physics Letters A

Year:

1983

Language:

english

File:

PDF, 210 KB

english, 1983

11

Bound on resonance eigenvalues of Schrödinger operators

Heinz K.H. Siedentop

Journal:

Physics Letters A

Year:

1983

Language:

english

File:

PDF, 206 KB

english, 1983

12

Upper bound on the ground state energy of atoms that proves Scott's conjecture

Heinz Siedentop, Rudi Weikard

Journal:

Physics Letters A

Year:

1987

Language:

english

File:

PDF, 140 KB

english, 1987

13

The spectrum of relativistic atoms according to Bethe and Salpeter and beyond

Heinz Siedentop

Journal:

Journal of Computational and Applied Mathematics

Year:

2007

Language:

english

File:

PDF, 171 KB

english, 2007

14

An analytic Douglas–Kroll–Heß method

Heinz Siedentop, Edgardo Stockmeyer

Journal:

Physics Letters A

Year:

2005

Language:

english

File:

PDF, 121 KB

english, 2005

15

On the localization of resonances

Heinz K. H. Siedentop

Journal:

International Journal of Quantum Chemistry

Year:

1987

Language:

english

File:

PDF, 1.21 MB

english, 1987

16

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

Heinz Siedentop

Journal:

International Journal of Quantum Chemistry

Year:

1993

Language:

english

File:

PDF, 303 KB

english, 1993

17

An upper bound for the atomic ground state density at the nucleus

Heinz Siedentop

Journal:

Letters in Mathematical Physics

Year:

1994

Language:

english

File:

PDF, 337 KB

english, 1994

18

Convexity and concavity of eigenvalue sums

Elliott H. Lieb, Heinz Siedentop

Journal:

Journal of Statistical Physics

Year:

1991

Language:

english

File:

PDF, 246 KB

english, 1991

19

On the leading energy correction for the statistical model of the atom: Interacting case

Heinz Siedentop, Rudi Weikard

Journal:

Communications in Mathematical Physics

Year:

1987

Language:

english

File:

PDF, 978 KB

english, 1987

20

On the relation between the hellmann energy functional and the ground state energy of anN-fermion system

Heinz K. H. Siedentop

Journal:

Zeitschrift für Physik A Hadrons and Nuclei

Year:

1981

Language:

english

File:

PDF, 444 KB

english, 1981

21

On the width of resonances

Heinz K. H. Siedentop

Journal:

Zeitschrift für Physik A Hadrons and Nuclei

Year:

1984

Language:

english

File:

PDF, 225 KB

english, 1984

22

The spectrum of relativistic one-electron atoms according to Bethe and Salpeter

William Desmond Evans, Peter Perry, Heinz Siedentop

Journal:

Communications in Mathematical Physics

Year:

1996

Language:

english

File:

PDF, 665 KB

english, 1996

23

Regularization of atomic Schrödinger operators with magnetic field

Bernard Helffer, Heinz Siedentop

Journal:

Mathematische Zeitschrift

Year:

1995

Language:

english

File:

PDF, 486 KB

english, 1995

24

On the number of bound states of a bosonicN-particle Coulomb system

Volker Bach, Roger Lewis, Elliott H. Lieb, Heinz Siedentop

Journal:

Mathematische Zeitschrift

Year:

1993

Language:

english

File:

PDF, 703 KB

english, 1993

25

Stability and instability of relativistic electrons in classical electromagnetic fields

Elliott H. Lieb, Heinz Siedentop, Jan Philip Solovej

Journal:

Journal of Statistical Physics

Year:

1997

Language:

english

File:

PDF, 989 KB

english, 1997

26

Dissociation of Homonuclear Relativistic Molecular Ions

Rafael Benguria, Heinz Siedentop, Edgardo Stockmeyer

Journal:

Annales Henri Poincaré

Year:

2001

Language:

english

File:

PDF, 152 KB

english, 2001

27

Asymptotic behavior of the one-particle density matrix of atoms at distances $Z^{-1}$ from the nucleus

Alexei Iantchenko, Heinz Siedentop

Journal:

Mathematische Zeitschrift

Year:

2001

Language:

english

File:

PDF, 128 KB

english, 2001

28

The Douglas-Kroll-Heß Method: Convergence and Block-Diagonalization of Dirac Operators

Heinz Siedentop, Edgardo Stockmeyer

Journal:

Annales Henri Poincaré

Year:

2006

Language:

english

File:

PDF, 160 KB

english, 2006

29

Solutions of the Dirac–Fock Equations and the Energy of the Electron-Positron Field

Matthias Huber, Heinz Siedentop

Journal:

Archive for Rational Mechanics and Analysis

Year:

2007

Language:

english

File:

PDF, 248 KB

english, 2007

30

The optimal size of the exchange hole and reduction to one-particle Hamiltonians

Paul Mancas, A. M. Klaus Müller, Heinz Siedentop

Journal:

Theoretical Chemistry Accounts: Theory, Computation, and Modeling (Theoretica Chimica Acta)

Year:

2004

Language:

english

File:

PDF, 253 KB

english, 2004

31

Non-Perturbative Mass and Charge Renormalization in Relativistic No-Photon Quantum Electrodynamics

Christian Hainzl, Heinz Siedentop

Journal:

Communications in Mathematical Physics

Year:

2003

Language:

english

File:

PDF, 230 KB

english, 2003

32

The Ground State Energy of Heavy Atoms: Relativistic Lowering of the Leading Energy Correction

Rupert L. Frank, Heinz Siedentop, Simone Warzel

Journal:

Communications in Mathematical Physics

Year:

2008

Language:

english

File:

PDF, 282 KB

english, 2008

33

Renormalization of the Regularized Relativistic Electron-Positron Field

Elliott H. Lieb, Heinz Siedentop

Journal:

Communications in Mathematical Physics

Year:

2000

Language:

english

File:

PDF, 91 KB

english, 2000

34

On the Stability of the Relativistic Electron-Positron Field

Volker Bach, Jean-Marie Barbaroux, Bernard Helffer, Heinz Siedentop

Journal:

Communications in Mathematical Physics

Year:

1999

Language:

english

File:

PDF, 146 KB

english, 1999

35

On bracketing of energy eigenvalues of multiparticle systems

Heinz K.H. Siedentop

Journal:

Physics Letters A

Year:

1983

Language:

english

File:

PDF, 147 KB

english, 1983

36

Stability of atoms and molecules in an ultrarelativistic Thomas-Fermi-Weizsäcker model

Benguria, Rafael D., Loss, Michael, Siedentop, Heinz

Journal:

Journal of Mathematical Physics

Year:

2008

Language:

english

File:

PDF, 476 KB

english, 2008

37

Counting eigenvalues using coherent states with an application to Dirac and Schrödinger operators in the semi-classical limit

William Desmond Evans, Roger T. Lewis, Heinz Siedentop, Jan Philip Solovej

Journal:

Arkiv för Matematik

Year:

1996

Language:

english

File:

PDF, 734 KB

english, 1996

38

Intrastriatal transplantation of microcarrier-bound human retinal pigment epithelial cells versus sham surgery in patients with advanced Parkinson's disease: a double-blind, randomised, controlled trial

Robert E Gross, Raymond L Watts, Robert A Hauser, Roy AE Bakay, Heinz Reichmann, Rüdiger von Kummer, William G Ondo, Elke Reissig, Wilhelm Eisner, Heike Steiner-Schulze, Harald Siedentop, Klaus Fichte

Journal:

The Lancet Neurology

Year:

2011

Language:

english

File:

PDF, 218 KB

english, 2011

39

[Lecture Notes in Physics] Large Coulomb Systems Volume 695 || Introduction to Representations of the Canonical Commutation and Anticommutation Relations

Dereziński, Jan, Siedentop, Heinz

Year:

2006

Language:

english

File:

PDF, 1.12 MB

english, 2006

40

On the Maximal Excess Charge of the Chandrasekhar–Coulomb Hamiltonian in Two Dimension

Michael Handrek, Heinz Siedentop

Journal:

Letters in Mathematical Physics

Year:

2013

Language:

english

File:

PDF, 134 KB

english, 2013

41

An upper bound on the ionic ground state density at the nucleus

Rakowsky, Natalja, Siedentop, Heinz

Journal:

Reports on Mathematical Physics

Year:

1995

Language:

english

File:

PDF, 400 KB

english, 1995

42

On some basic properties of density functionals for angular momentum channels

Siedentop, Heinz K.H., Weikard, Rudi

Journal:

Reports on Mathematical Physics

Year:

1986

Language:

english

File:

PDF, 1.36 MB

english, 1986

43

Modification of Müller's variational principle for Schrödinger operators with spherical symmetric potential

Siedentop, Heinz K.H.

Journal:

Reports on Mathematical Physics

Year:

1985

Language:

english

File:

PDF, 874 KB

english, 1985

44

Dimension of eigenspaces of Schrödinger operators-local Birman-Schwinger bound

Siedentop, Heinz K.H.

Journal:

Reports on Mathematical Physics

Year:

1985

Language:

english

File:

PDF, 400 KB

english, 1985

45

[Lecture Notes Series, Institute for Mathematical Sciences, National University of Singapore] Complex Quantum Systems Volume 24 (Analysis of Large Coulomb Systems) || FRONT MATTER

Siedentop, Heinz

Year:

2013

Language:

english

File:

PDF, 741 KB

english, 2013

46

On the Absence of a First Order COrrection for the Number of Bound States of a Schrödinger operator with Coulomb Singularity

Bernard, Helffer, Andreas, Knauf, Heinz, Siedentop, Rudi Weikard,

Journal:

Communications in Partial Differential Equations

Year:

1992

Language:

english

File:

PDF, 858 KB

english, 1992

47

Stability of Relativistic Matter with Magnetic Fields

Lieb, Elliott H., Siedentop, Heinz, Solovej, Jan Philip

Journal:

Physical Review Letters

Year:

1997

Language:

english

File:

PDF, 142 KB

english, 1997

48

Müller’s exchange-correlation energy in density-matrix-functional theory

Frank, Rupert L., Lieb, Elliott H., Seiringer, Robert, Siedentop, Heinz

Journal:

Physical Review A

Year:

2007

Language:

english

File:

PDF, 278 KB

english, 2007

49

Signatures of Wigner molecule formation in interacting Dirac fermion quantum dots

Paananen, Tomi, Egger, Reinhold, Siedentop, Heinz

Journal:

Physical Review B

Year:

2011

Language:

english

File:

PDF, 1.09 MB

english, 2011

50

Stability of impurities with Coulomb potential in graphene with homogeneous magnetic field

Maier, Thomas, Siedentop, Heinz

Journal:

Journal of Mathematical Physics

Year:

2012

Language:

english

File:

PDF, 465 KB

english, 2012

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