The Stability of Matter: From Atoms to Stars

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 Approximate 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 Electron density near the nucleus of a large atom
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    Chapter 12 Proof of a conjecture about atomic and molecular cores related to Scott’s correction
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    Chapter 13 Asymptotics of Natural and Artificial Atoms in Strong Magnetic Fields
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    Chapter 14 Ground states of large quantum dots in magnetic fields
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    Chapter 15 Kinetic Energy Bounds and Their Application to the Stability of Matter
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    Chapter 16 Inequalities for the Moments of the Eigenvalues of the Schrödinger Hamiltonian and Their Relation to Sobolev Inequalities
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    Chapter 17 On Semi-Classical Bounds for Eigenvalues of SchröDinger Operators
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    Chapter 18 The Number of Bound States of One-Body Schroedinger Operators and the Weyl Problem
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    Chapter 19 Variational Principle for Many-Fermion Systems
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    Chapter 20 Thomas-fermi and related theories of atoms and molecules
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    Chapter 21 The Hartree-Fock Theory for Coulomb Systems
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    Chapter 22 There Are No Unfilled Shells in Unrestricted Hartree-Fock Theory
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    Chapter 23 Many-Body Atomic Potentials in Thomas—Fermi Theory
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    Chapter 24 The Positivity of the Pressure in Thomas Fermi Theory
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    Chapter 25 The Thomas—Fermi—von Weizsäcker Theory of Atoms and Molecules
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    Chapter 26 Analysis of the Thomas-Fermi-von Weizsäcker Equation for an Infinite Atom Without Electron Repulsion
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    Chapter 27 The most negative ion in the Thomas—Fermi—von Weizsäcker theory of atoms and molecules
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    Chapter 28 Bound for the Kinetic Energy of Fermions Which Proves the Stability of Matter
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    Chapter 29 Stability of Coulomb Systems with Magnetic Fields
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    Chapter 30 Stability of Coulomb Systems with Magnetic Fields
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    Chapter 31 Stability of Matter in Magnetic Fields
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    Chapter 32 The Chandrasekhar Theory of Stellar Collapse as the Limit of Quantum Mechanics
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    Chapter 33 One-Electron Relativistic Molecules with Coulomb Interaction
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    Chapter 34 The Stability and Instability of Relativistic Matter
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    Chapter 35 Stability of Relativistic Matter via Thomas—Fermi Theory
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    Chapter 36 Stability and Instability of Relativistic Electrons in Classical Electromagnetic Fields
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    Chapter 37 The stability of matter
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    Chapter 38 Existence of Thermodynamics for Real Matter with Coulomb Forces
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    Chapter 39 The Thermodynamic Limit for Jellium
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    Chapter 40 Self-Energy of Electrons in Non-Perturbative QED
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    Chapter 41 Renormalization of the Regularized Relativistic Electron-Positron Field
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    Chapter 42 Ground states in non-relativistic quantum electrodynamics
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    Chapter 43 Bosonic Systems
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    Chapter 44 Ground State Energy of the Low Density Bose Gas
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    Chapter 45 Bosons in a trap: A rigorous derivation of the Gross-Pitaevskii energy functional
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    Chapter 46 The Bose Gas: A Subtle Many-Body Problem
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    Chapter 47 The N 5/3 Law For Bosons
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    Chapter 48 The N 7/5 Law for Charged Bosons
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    Chapter 49 Ground State Energy of the One-Component Charged Bose Gas