Book 2005

The Stability of Matter: From Atoms to Stars

Selecta of Elliott H. Lieb

Authors:

Editors:

ISBN: 978-3-540-22212-5 (Print) 978-3-540-27056-0 (Online)

Table of contents (54 chapters)

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  1. Front Matter

    Pages I-XV

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    Chapter

    Pages 1-8

    Introduction

  3. Review

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      Chapter

      Pages 11-59

      The Stability of Matter: From Atoms to Stars

  4. Exact Results on Atoms

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      Chapter

      Pages 63-64

      Lower bound to the energy of complex atoms

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      Chapter

      Pages 65-77

      Improved Lower Bound on the Indirect Coulomb Energy

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      Chapter

      Pages 79-82

      Letter to the Editor

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      Chapter

      Pages 83-86

      Proof of the Stability of Highly Negative Ions in the Absence of the Pauli Principle

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      Chapter

      Pages 87-89

      Atomic and Molecular Negative Ions

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      Chapter

      Pages 91-101

      Bound on the maximum negative ionization of atoms and molecules

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      Chapter

      Pages 103-112

      Approximate Neutrality of Large-Z Ions

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      Chapter

      Pages 113-119

      Universal nature of van der Waals forces for Coulomb Systems

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      Chapter

      Pages 121-126

      Electron density near the nucleus of a large atom

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      Chapter

      Pages 127-145

      Proof of a conjecture about atomic and molecular cores related to Scott’s correction

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      Chapter

      Pages 147-169

      Asymptotics of Natural and Artificial Atoms in Strong Magnetic Fields

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      Chapter

      Pages 171-190

      Ground states of large quantum dots in magnetic fields

  5. General Results with Applications to Atoms

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      Chapter

      Pages 193-204

      Kinetic Energy Bounds and Their Application to the Stability of Matter

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      Chapter

      Pages 205-239

      Inequalities for the Moments of the Eigenvalues of the Schrödinger Hamiltonian and Their Relation to Sobolev Inequalities

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      Chapter

      Pages 241-243

      On Semi-Classical Bounds for Eigenvalues of Schrödinger Operators

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      Chapter

      Pages 245-256

      The Number of Bound States of One-Body Schroedincer Operators and the Weyl Problem

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      Chapter

      Pages 257-260

      Variational Principle for Many-Fermion Systems

  6. Thomas-Fermi and Related Theories

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      Chapter

      Pages 263-301

      Thomas-fermi and related theories of atoms and molecules

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