The Stability of Matter: From Atoms to Stars: Selecta of Elliott H. Lieb

Front Matter....Pages I-VIII
Introduction....Pages 1-8
Front Matter....Pages 9-9
The Stability of Matter: From Atoms to Stars....Pages 11-59
Front Matter....Pages 61-61
Lower bound to the energy of complex atoms....Pages 63-64
Improved Lower Bound on the Indirect Coulomb Energy....Pages 65-77
Monotonicity of the molecular electronic energy in the nuclear coordinates....Pages 78-81
Proof of the Stability of Highly Negative Ions in the Absence of the Pauli Principle....Pages 82-85
Atomic and Molecular Negative Ions....Pages 86-88
Bound on the maximum negative ionization of atoms and molecules....Pages 89-99
Asymptotic Neutrality of Large- Z Ions....Pages 100-102
Universal nature of van der Waals forces for Coulomb systems....Pages 103-109
Approximate Neutrality of Large- Z Ions....Pages 110-119
Front Matter....Pages 121-121
Kinetic Energy Bounds and Their Application to the Stability of Matter....Pages 123-134
Inequalities for the Moments of the Eigenvalues of the Schrodinger Hamiltonian and Their Relation to Sobolev Inequalities....Pages 135-169
On Semi-Classical Bounds for Eigenvalues of Schrodinger Operators....Pages 170-172
The Number of Bound States of One-Body Schroedinger Operators and the Weyl Problem....Pages 173-184
Variational Principle for Many-Fermion Systems....Pages 185-188
Front Matter....Pages 189-189
Thomas-fermi and related theories of atoms and molecules....Pages 191-230
The Hartree-Fock Theory for Coulomb Systems....Pages 231-240
Many-Body Atomic Potentials in Thomas—Fermi Theory....Pages 241-252
The Positivity of the Pressure in Thomas Fermi Theory....Pages 253-279
Front Matter....Pages 189-189
The Thomas—Fermi—von Weizsäcker Theory of Atoms and Molecules....Pages 280-293
Analysis of the Thomas-Fermi-von Weizsäcker Equation for an Infinite Atom Without Electron Repulsion....Pages 294-304
The most negative ion in the Thomas—Fermi—von Weizsäcker theory of atoms and molecules....Pages 305-319
Front Matter....Pages 321-321
Bound for the Kinetic Energy of Fermions Which Proves the Stability of Matter....Pages 323-326
The N 5/3 Law for Bosons....Pages 327-329
Stability of Coulomb Systems with Magnetic Fields....Pages 330-349
Stability of Coulomb Systems with Magnetic Fields....Pages 350-361
The Chandrasekhar Theory of Stellar Collapse as the Limit of Quantum Mechanics....Pages 362-389
A Rigorous Examination of the Chandrasekhar Theory of Stellar Collapse....Pages 390-394
The Stability and Instability of Relativistic Matter....Pages 395-431
Many-Body Stability Implies a Bound on the Fine-Structure Constant....Pages 432-434
The N 7/5 Law for Charged Bosons....Pages 435-466
One-Electron Relativistic Molecules with Coulomb Interaction....Pages 467-480
Front Matter....Pages 481-481
The stability of matter....Pages 483-499
Existence of Thermodynamics for Real Matter with Coulomb Forces....Pages 500-503
Lectures on the Thermodynamic Limit for Coulomb Systems....Pages 504-529
The Thermodynamic Limit for Jellium....Pages 530-546
Erratum to: The N 7/5 Law for Charged Bosons....Pages 567-567
Back Matter....Pages 547-565