Introduction

Part I. Review

The Stability of Matter: From Atoms to Stars

Part II. Exact Results on Atoms

Lower Bound to the Energy of Complex Atoms

P. Hertel

W. Thirring

Improved Lower Bound on the Indirect Coulomb Energy

S. Oxford

Monotonicity of the Molecular Electronic Energy in the Nuclear Coordinates

Proof of the Stability of Highly Negative Ions in the Absence of the Pauli Principle

R. Benguria

Atomic and Molecular Negative Ions

Bound on the Maximum Negative Ionization of Atoms and Molecules

Approximate Neutrality of Large-Z Ions

I.M. Sigal

B. Simon

W. Thirring

Universal Nature of van der Waals Forces for Coulomb Systems

W. Thirring

Electron Density Near the Nucleus of a Large Atom

O.J. Heilmann

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

A. Iantchenko

H. Siedentop

Asymptotics of Natural and Artificial Atoms in Strong Magnetic Fields

J.P. Solovej

J. Yngvason

Ground States of Large Quantum Dots in Magnetic Fields

J.P. Solovej

J. Yngvason

Part III. General Results with Applications to Atoms

Kinetic Energy Bounds and Their Application to the Stability of Matter

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

W. Thirring

On Semi-Classical Bounds for Eigenvalues of Schrodinger Operators

M. Aizenman

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

Variational Principle for Many-Fermion Systems

Part IV. Thomas-Fermi and Related Theories

Thomas-Fermi and Related Theories of Atoms and Molecules

The Hartree-Fock Theory for Coulomb Systems

B. Simon

There Are No Unfilled Shells in Unrestricted Hartree-Fock Theory

V. Bach

M. Loss

J.P. Solovej

Many-Body Atomic Potentials in Thomas-Fermi Theory

R. Benguria

The Positivity of the Pressure in Thomas-Fermi Theory

R. Benguria

The Thomas-Fermi-von Weizsacker Theory of Atoms and Molecules

R. Benguria

H. Brezis

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

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

R. Benguria

Part V. Stability of Matter

Bound for the Kinetic Energy of Fermions Which Proves the Stability of Matter

W. Thirring

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

J. Frohlich

M. Loss

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

M. Loss

Stability of Matter in Magnetic Fields

M. Loss

J.P. Solovej

The Chandrasekhar Theory of Stellar Collapse as the Limit of Quantum Mechanics

H.-T. Yau

One-Electron Relativistic Molecules with Coulomb Interaction

I. Daubechies

The Stability and Instability of Relativistic Matter

H.-T. Yau

Stability of Relativistic Matter Via Thomas-Fermi Theory

M. Loss

H. Siedentop

Stability and Instability of Relativistic Electrons in Classical Electromagnetic Fields

H. Siedentop

J.P. Solovej

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

The Stability of Matter

Existence of Thermodynamics for Real Matter with Coulomb Forces

J.L. Lebowitz

The Thermodynamic Limit for Jellium

H. Narnhofer

Part VII. Quantum Electrodynamics

Self Energy of Electrons in Non-perturbative QED

M. Loss

Renormalization of the Regularized Electron-Positron Field

H. Siedentop

Ground States in Non-relativistic Quantum Electrodynamics

M. Griesemer

M. Loss

Part VIII. Bosonic Systems

Introduction

Ground State Energy of the Low Density Bose Gas

J. Yngvason

Bosons in a Trap: A Rigorous Derivation of the Gross-Pitaevskii Energy Functional

R. Seiringer

J. Yngvason

The Bose Gas: A Subtle Many-Body Problem

The N5/3 Law for Bosons

The N7/5 Law for Charged Bosons

J.G. Conlon

H.-T. Yau

Ground State Energy of the One-Component Charged Bose Gas

J.P. Solovej

Publications of Elliott H. Lieb