Synopsis
I.1 The Stability of Matter: From Atoms to Stars.- II.1 Lower Bound to the Energy of Complex Atoms.- II.2 Improved Lower Bound on the Indirect Coulomb Energy.- 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.- 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.- II.8 Approximate Neutrality of Large-Z Ions.- II.9 Universal Nature of van der Waals Forces for Coulomb Systems.- II.10 Electron Density Near the Nucleus of a Large Atom.- II.11 Proof of a Conjecture About Atomic and Molecular Cores Related to Scott's Correction.- II.12 Asymptotics of Natural and Artificial Atoms in Strong Magnetic Fields.- II.13 Ground States of Large Quantum Dots in Magnetic Fields.- III.1 Kinetic Energy Bounds and Their Application to the Stability of Matter.- III.2 Inequalities for the Moments of the Eigenvalues of the Schrödinger Hamiltonian and Their Relation to Sobolev Inequalities.- III.3 On Semi-Classical Bounds for Eigenvalues of Schrödinger Operators.- III.4 The Number of Bound States of One-Body Schrödinger Operators and the Weyl Problem.- III.5 Variational Principle for Many-Fermion Systems.- IV.I Thomas-Fermi and Related Theories of Atoms and Molecules.- IV.2 The Hartree-Fock Theory for Coulomb Systems.- IV.3 There Are No Unfilled Shells in Unrestricted Hartree-Fock Theory.- IV.4 Many-Body Atomic Potentials in Thomas-Fermi Theory.- IV.5 The Positivity of the Pressure in Thomas-Fermi Theory.- IV.6 The Thomas-Fermi-von Weizsäcker Theory of Atoms and Molecules.- IV.7 Analysis of the Thomas-Fermi-von Weizsäcker Equation for an Infinite Atom Without Electron Repulsion.- IV.8 The Most Negative Ion in the Thomas-Fermi-von Weizsäcker Theory of Atoms and Molecules.- V.1 Bound for the Kinetic Energy of Fermions Which Proves the Stability of Matter.- V.2 The N5/3 Law for Bosons.- V.3 Stability of Coulomb Systems with Magnetic Fields. I. The One-Electron Atom.- V.4 Stability of Coulomb Systems with Magnetic Fields. II. The Many-Electron Atom and the One-Electron Molecule.- V.5 Stability of Matter in Magnetic Fields.- V.6 A Rigorous Examination of the Chandrasekhar Theory of Stellar Collapse.- V.7 The Chandrasekhar Theory of Stellar Collapse as the Limit of Quantum Mechanics.- V.8 One-Electron Relativistic Molecules with Coulomb Interaction.- V.9 Many-Body Stability Implies a Bound on the Fine-Structure Constant.- V.10 The Stability and Instability of Relativistic Matter.- V.11 Stability of Relativistic Matter Via Thomas-Fermi Theory.- V.1 Stability and Instability of Relativistic Electrons in Classical Electromagnetic Fields.- V.13 The N715 Law for Charged Bosons.- VI.1 The Stability of Matter.- VI.2 Existence of Thermodynamics for Real Matter with Coulomb Forces.- VI.3 Lectures on the Thermodynamic Limit for Coulomb Systems.- VI.4 The Thermodynamic Limit for Jellium.- Publications of Elliott H. Lieb.
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