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The Stability of Matter: From Atoms to Stars : Selecta of Elliott H. Lieb
Overview of attention for book
Table of Contents
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Book Overview
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Chapter 1
Introduction
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Chapter 2
The Stability of Matter: From Atoms to Stars
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Chapter 3
Lower bound to the energy of complex atoms
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Chapter 4
Improved Lower Bound on the Indirect Coulomb Energy
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Chapter 5
Monotonicity of the molecular electronic energy in the nuclear coordinates
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Chapter 6
Proof of the Stability of Highly Negative Ions in the Absence of the Pauli Principle
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Chapter 7
Atomic and Molecular Negative Ions
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Chapter 8
Bound on the maximum negative ionization of atoms and molecules
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Chapter 9
Asymptotic Neutrality of Large- Z Ions
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Chapter 10
Universal nature of van der Waals forces for Coulomb systems
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Chapter 11
Approximate Neutrality of Large- Z Ions
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Chapter 12
Kinetic Energy Bounds and Their Application to the Stability of Matter
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Chapter 13
Inequalities for the Moments of the Eigenvalues of the Schrodinger Hamiltonian and Their Relation to Sobolev Inequalities
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Chapter 14
On Semi-Classical Bounds for Eigenvalues of Schrodinger Operators
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Chapter 15
The Number of Bound States of One-Body Schroedinger Operators and the Weyl Problem
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Chapter 16
Variational Principle for Many-Fermion Systems
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Chapter 17
Thomas-fermi and related theories of atoms and molecules
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Chapter 18
The Hartree-Fock Theory for Coulomb Systems
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Chapter 19
Many-Body Atomic Potentials in Thomas—Fermi Theory
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Chapter 20
The Positivity of the Pressure in Thomas Fermi Theory
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Chapter 21
The Thomas—Fermi—von Weizsäcker Theory of Atoms and Molecules
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Chapter 22
Analysis of the Thomas-Fermi-von Weizsäcker Equation for an Infinite Atom Without Electron Repulsion
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Chapter 23
The most negative ion in the Thomas—Fermi—von Weizsäcker theory of atoms and molecules
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Chapter 24
Bound for the Kinetic Energy of Fermions Which Proves the Stability of Matter
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Chapter 25
The N 5/3 Law for Bosons
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Chapter 26
Stability of Coulomb Systems with Magnetic Fields
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Chapter 27
Stability of Coulomb Systems with Magnetic Fields
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Chapter 28
The Chandrasekhar Theory of Stellar Collapse as the Limit of Quantum Mechanics
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Chapter 29
A Rigorous Examination of the Chandrasekhar Theory of Stellar Collapse
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Chapter 30
The Stability and Instability of Relativistic Matter
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Chapter 31
Many-Body Stability Implies a Bound on the Fine-Structure Constant
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Chapter 32
The N 7/5 Law for Charged Bosons
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Chapter 33
One-Electron Relativistic Molecules with Coulomb Interaction
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Chapter 34
The stability of matter
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Chapter 35
Existence of Thermodynamics for Real Matter with Coulomb Forces
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Chapter 36
Lectures on the Thermodynamic Limit for Coulomb Systems
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Chapter 37
The Thermodynamic Limit for Jellium
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Chapter 38
Erratum to: The N 7/5 Law for Charged Bosons
Overall attention for this book and its chapters
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Book overview
1. Introduction
2. The Stability of Matter: From Atoms to Stars
3. Lower bound to the energy of complex atoms
4. Improved Lower Bound on the Indirect Coulomb Energy
5. Monotonicity of the molecular electronic energy in the nuclear coordinates
6. Proof of the Stability of Highly Negative Ions in the Absence of the Pauli Principle
7. Atomic and Molecular Negative Ions
8. Bound on the maximum negative ionization of atoms and molecules
9. Asymptotic Neutrality of Large- Z Ions
10. Universal nature of van der Waals forces for Coulomb systems
11. Approximate Neutrality of Large- Z Ions
12. Kinetic Energy Bounds and Their Application to the Stability of Matter
13. Inequalities for the Moments of the Eigenvalues of the Schrodinger Hamiltonian and Their Relation to Sobolev Inequalities
14. On Semi-Classical Bounds for Eigenvalues of Schrodinger Operators
15. The Number of Bound States of One-Body Schroedinger Operators and the Weyl Problem
16. Variational Principle for Many-Fermion Systems
17. Thomas-fermi and related theories of atoms and molecules
18. The Hartree-Fock Theory for Coulomb Systems
19. Many-Body Atomic Potentials in Thomas—Fermi Theory
20. The Positivity of the Pressure in Thomas Fermi Theory
21. The Thomas—Fermi—von Weizsäcker Theory of Atoms and Molecules
22. Analysis of the Thomas-Fermi-von Weizsäcker Equation for an Infinite Atom Without Electron Repulsion
23. The most negative ion in the Thomas—Fermi—von Weizsäcker theory of atoms and molecules
24. Bound for the Kinetic Energy of Fermions Which Proves the Stability of Matter
25. The N 5/3 Law for Bosons
26. Stability of Coulomb Systems with Magnetic Fields
27. Stability of Coulomb Systems with Magnetic Fields
28. The Chandrasekhar Theory of Stellar Collapse as the Limit of Quantum Mechanics
29. A Rigorous Examination of the Chandrasekhar Theory of Stellar Collapse
30. The Stability and Instability of Relativistic Matter
31. Many-Body Stability Implies a Bound on the Fine-Structure Constant
32. The N 7/5 Law for Charged Bosons
33. One-Electron Relativistic Molecules with Coulomb Interaction
34. The stability of matter
35. Existence of Thermodynamics for Real Matter with Coulomb Forces
36. Lectures on the Thermodynamic Limit for Coulomb Systems
37. The Thermodynamic Limit for Jellium
38. Erratum to: The N 7/5 Law for Charged Bosons
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