Introduction |
Review / Part I: |
The Stability of Matter: From Atoms to Stars / I.1: |
Exact Results on Atoms / Part II: |
Lower Bound to the Energy of Complex Atoms / P. Hertel ; W. ThirringII.1: |
Improved Lower Bound on the Indirect Coulomb Energy / S. OxfordII.2: |
Monotonicity of the Molecular Electronic Energy in the Nuclear Coordinates / II.3: |
Proof of the Stability of Highly Negative Ions in the Absence of the Pauli Principle / R. BenguriaII.4: |
Atomic and Molecular Negative Ions / II.5: |
Bound on the Maximum Negative Ionization of Atoms and Molecules / II.6: |
Approximate Neutrality of Large-Z Ions / l.M. Sigal ; B.SimonIL.7: |
Universal Nature of van der Waals Forces for Coulomb Systems / II.8: |
Electron Density Near the Nucleus of a Large Atom / O.J. HeilmannII.9: |
Proof of a Conjecture About Atomic and Molecular Cores Related to ScottÆs Correction / A. lantchenko ; H. SiedentopII.10: |
Asymptotics of Natural and Artificial Atoms in Strong Magnetic Fields / J.P. Solovej ; J. YngvasonII.11: |
Ground States of Large Quantum Dots in Magnetic Fields / II.12: |
General Results with Applications to Atoms / Part III: |
Kinetic Energy Bounds and Their Application to the Stability ofMatter / III.1: |
Inequalities for the Moments of the Eigenvalues of the Schrodinger Hamiltonian and Their Relation to Sobolev Inequalities / III.2: |
On Semi-Classical Bounds for Eigenvalues of Schrodinger Operators / M. AizenmanIII.3: |
The Number of Bound States of One-Body Schrodinger Operators and the Weyl Problem / III.4: |
Variational Principle for Many-Fermion Systems / III.5: |
Thomas-Fermi and Related Theories / Part IV: |
Thomas-Fermi and Related Theoies of Atoms and Molecules / IV.1: |
The Hartree-Fock Theory for Coulomb Systems / B. SimonIV.2: |
There Are No Unfilled Shells in Unrestricted Hartree-Fock Theory / V. Bach ; M. LossIV.3: |
Many-Body Atomic Potentials in Thomas-Fermi Theory / IV.4: |
The Positivity of the Pressure in Thomas-Fermi Theory / IV.5: |
The Thomas-Fermi-von Weizsacker Theory of Atoms and Molecules / H. BrezisIV.6: |
Analysis of the Thomas-Fermi-von Weizsacker Equation for an Infinite Atom Without Electron Repulsion / IV.7: |
The Most Negative Ion in the Thomas-Fermi-von Weizsacker Theory of Atoms and Molecules / IV.8: |
Stability of Matter / Part V: |
Bound for the Kinetic Energy of Fermions Which Proves the Stability of Matter / V.1: |
Stability of Coulomb Systems with Magnetic Fields. I. The One-Electron Atom / J. FrohlichV.2: |
Stability of Coulomb Systems with Magnetic Fields. II. The Many-Electron Atom and the One-Electron Molecule / V.3: |
Stability of Matter in Magnetic Fields / V.4: |
The Chandrasekhar Theory of Stellar Collapse as the Limit of Quantum Mechanics / H.-T. YauV.5: |
One-Electron Relativistic Molecules with Coulomb Interaction / I. DaubechiesV.6: |
The Stability and Instability of Relativistic Matter / V.7: |
Stability of Relativistic Matter Via Thomas-Fermi Theory / V.8: |
Stability and Instability of Relativistic Electrons in Classical Electromagnetic Fields / V.9: |
The Thermodynamic Limit for Real Matter with Coulomb Forces / Part VI: |
The Stability of Matter / VI.1: |
Existence of Thermodynamics for Real Matter with Coulomb Forces / J.L. LebowitzVI.2: |
The Thermodynamic Limit for Jellium / H. NarnhoferVI.3: |
Quantum Electrodynamics / Part VII: |
Self Energy of Electrons in Non-perturbative QED / VII.1: |
Renormalization of the Regularized Electron-Positron Field / VII.2: |
Ground States in Non-relativistic Quantum Electrodynamics / M. GriesemerVII.3: |
Bosonic Systems / Part VIII: |
Ground State Energy of the Low Density Bose Gas / VIII.1: |
Bosons in a Trap: A Rigorous Derivation of the Gross-Pitaevskii Energy Functional / R. SeiringerVIII.3: |
The Bose Gas: A Subtle Many-Body Problem / VIII.4: |
The N5/3 Law for Bosons / VIII.5: |
The N7/5 Law for Charged Bosons / J.G. ConlonVIII.6: |
Ground State Energy of the One-Component Charged Bose Gas / VIII.7: |
Publications of Elliott / H.Lieb |
Introduction |
Review / Part I: |
The Stability of Matter: From Atoms to Stars / I.1: |