Introduction

Part I. Review

I.1 The Stability of Matter: From Atoms to Stars

Part II. Exact Results on Atoms

II.1 Lower Bound to the Energy of Complex Atoms

P. Hertel

W. Thirring

II.2 Improved Lower Bound on the Indirect Coulomb Energy

S. Oxford

II.3 Monotonicity of the Molecular Electronic Energy in the Nuclear Coordinates

II.4 Proof of the Stability of Highly Negative Ions in the Absence of the Pauli Principle

R. Benguria

II.5 Atomic and Molecular Negative Ions

II.6 Bound on the Maximum Negative Ionization of Atoms and Molecules

II.7 Asymptotic Neutrality of Large-Z Ions

I.M. Sigal

B. Simon

W. Thirring

II.8 Approximate Neutrality of Large-Z Ions

I.M. Sigal

B. Simon

W. Thirring

II.9 Universal Nature of van der Waals Forces for Coulomb Systems

W. Thirring

II.10 Electron Density Near the Nucleus of a Large Atom

O. J. Heilmann

II.11 Proof of a Conjecture About Atomic and Molecular Cores Related to Scott's Correction

A. Iantchenko

H. Siedentop

II.12 Asymptotics of Natural and Artificial Atoms in Strong Magnetic Fields

J. P. Solovej

J. Yngvason

II.13 Ground States of Large Quantum Dots in Magnetic Fields

J. P. Solovej

J. Yngvason

Part III. General Results with Applications to Atoms

III.1 Kinetic Energy Bounds and Their Application to the Stability of Matter

III.2 Inequalities for the Moments of the Eigenvalues of the Schrodinger Hamiltonian and Their Relation to Sobolev Inequalities

W. Thirring

III.3 On Semi-Classical Bounds for Eigenvalues of Schrodinger Operators

M. Aizenman

III.4 The Number of Bound States of One-Body Schrodinger Operators and the Weyl Problem

III.5 Variational Principle for Many-Fermion Systems

Part IV. Thomas-Fermi and Related Theories

IV.1 Thomas-Fermi and Related Theories of Atoms and Molecules

IV.2 The Hartree-Fock Theory for Coulomb Systems

B Simon

IV.3 There Are No Unfilled Shells in Unrestricted Hartree-Fock Theory

V. Bach

M. Loss

J. P. Solovej

IV.4 Many-Body Atomic Potentials in Thomas-Fermi Theory

R. Benguria

IV.5 The Positivity of the Pressure in Thomas-Fermi Theory

R. Benguria

IV.6 The Thomas-Fermi-von Weizsacker Theory of Atoms and Molecules

R. Benguria

H. Brezis

IV.7 Analysis of the Thomas-Fermi-von Weizsacker Equation for an Infinite Atom Without Electron Repulsion

IV.8 The Most Negative Ion in the Thomas-Fermi-von Weizsacker Theory of Atoms and Molecules

R. Benguria

Part V. Stability of Matter

V.1 Bound for the Kinetic Energy of Fermions Which Proves the Stability of Matter

W. Thirring

V.2 The N5/3 Law for Bosons

V.3 Stability of Coulomb Systems with Magnetic Fields. I. The One-Electron Atom

J. Frohlich

M. Loss

V.4 Stability of Coulomb Systems with Magnetic Fields. II. The Many-Electron Atom and the One-Electron Molecule

M. Loss

V.5 Stability of Matter in Magnetic Fields

M. Loss

J. P. Solovej

V.6 A Rigorous Examination of the Chandrasekhar Theory of Stellar Collapse

H.-T. Yau

V.7 The Chandrasekhar Theory of Stellar Collapse as the Limit of Quantum Mechanics

H.-T. Yau

V.8 One-Electron Relativistic Molecules with Coulomb Interaction

I. Daubechies

V.9 Many-Body Stability Implies a Bound on the Fine-Structure Constant

H.-T. Yau

V.10 The Stability and Instability of Relativistic Matter

H.-T. Yau

V.11 Stability of Relativistic Matter Via Thomas-Fermi Theory

M. Loss

H. Siedentop

V.12 Stability and Instability of Relativistic Electrons in Classical Electromagnetic Fields

H. Siedentop

J. P. Solovej

V.13 The N7/5 Law for Charged Bosons

J. G. Conlon

H.-T. Yau

Part VI. The Thermodynamic Limit for Real Matter with Coulomb Forces

VI.1 The Stability of Matter

VI.2 Existence of Thermodynamics for Real Matter with Coulomb Forces

J. L. Lebowitz

VI.3 Lectures on the Thermodynamic Limit for Coulomb Systems

J. L. Lebowitz

VI.4 The Thermodynamic Limit for Jellium

H. Narnhofer

Publications of Elliott H. Lieb