Research Catalog

Title

The stability of matter : from atoms to stars : selecta of Elliott H. Lieb / edited by W. Thirring ; with a preface by F. Dyson.

Author

Lieb, Elliott H.

Publication

Berlin ; New York : Springer, [1997], ©1997.

Items in the Library & Off-site

Holdings

Details

Additional Authors

Thirring, Walter, 1927-2014.

Description

xi, 675 pages : illustrations; 25 cm

Subject

• Thomas-Fermi theory
• Matter > Properties
• Functional analysis
• Mathematical physics

Bibliography (note)

• Publications of Elliott H. Lieb: p. 659-675.
• Includes bibliographical references.

Contents

• Pt. I. Review. I.1. The Stability of Matter: From Atoms to Stars -- Pt. II. Exact Results on Atoms. II.1. Lower Bound to the Energy of Complex Atoms / Elliott H. Lieb, P. Hertel and W. Thirring. II.2. Improved Lower Bound on the Indirect Coulomb Energy / Elliott H. Lieb and S. Oxford. 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 / Elliott H. Lieb and R. Benguria. 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 / Elliott H. Lieb, I. M. Sigal and B. Simon [et al.]. II.8. Approximate Neutrality of Large-Z Ions / Elliott H. Lieb, I. M. Sigal and B. Simon [et al.]. II.9. Universal Nature of van der Waals Forces for Coulomb Systems / Elliott H. Lieb and W. Thirring.
• II.10. Electron Density Near the Nucleus of a Large Atom / Elliott H. Lieb and O. J. Heilmann. II.11. Proof of a Conjecture About Atomic and Molecular Cores Related to Scott's Correction / Elliott H. Lieb, A. Iantchenko and H. Siedentop. II.12. Asymptotics of Natural and Artificial Atoms in Strong Magnetic Fields / Elliott H. Lieb, J. P. Solovej and J. Yngvason. II.13. Ground States of Large Quantum Dots in Magnetic Fields / Elliott H. Lieb, J. P. Solovej and J. Yngvason -- Pt. III. General Results with Applications to Atoms. III.1. Kinetic Energy Bounds and Their Application to the Stability of Matter. III.2. Inequalities for the Moments of the Eigenvalues of the Schrodinger Hamiltonian and Their Relation to Sobolev Inequalities / Elliott H. Lieb and W. Thirring. III.3. On Semi-Classical Bounds for Eigenvalues of Schrodinger Operators / Elliott H. Lieb and M. Aizenman. III.4. The Number of Bound States of One-Body Schrodinger Operators and the Weyl Problem.
• III.5. Variational Principle for Many-Fermion Systems -- Pt. IV. Thomas-Fermi and Related Theories. IV.1. Thomas-Fermi and Related Theories of Atoms and Molecules. IV.2. The Hartree-Fock Theory for Coulomb Systems / Elliott H. Lieb and B. Simon. IV.3. There Are No Unfilled Shells in Unrestricted Hartree-Fock Theory / Elliott H. Lieb, V. Bach and M. Loss [et al.]. IV.4. Many-Body Atomic Potentials in Thomas-Fermi Theory / Elliott H. Lieb and R. Benguria. IV.5. The Positivity of the Pressure in Thomas-Fermi Theory / Elliott H. Lieb and R. Benguria. IV.6. The Thomas-Fermi-von Weizsacker Theory of Atoms and Molecules / Elliott H. Lieb, R. Benguria and H. Brezis. IV.7. Analysis of the Thomas-Fermi-von Weizsacker Equation for an Infinite Atom Without Electron Repulsion. IV.8. The Most Negative Ion in the Thomas-Fermi-von Weizsacker Theory of Atoms and Molecules / Elliott H. Lieb and R. Benguria -- Pt. V. Stability of Matter.
• V.1. Bound for the Kinetic Energy of Fermions Which Proves the Stability of Matter / Elliott H. Lieb and W. Thirring. V.2. The N[superscript 5/3] Law for Bosons. V.3. Stability of Coulomb Systems with Magnetic Fields. I. The One-Electron Atom / Elliott H. Lieb, J. Frohlich and M. Loss. V.4. Stability of Coulomb Systems with Magnetic Fields. II. The Many-Electron Atom and the One-Electron Molecule / Elliott H. Lieb and M. Loss. V.5. Stability of Matter in Magnetic Fields / Elliott H. Lieb, M. Loss and J. P. Solovej. V.6. A Rigorous Examination of the Chandrasekhar Theory of Stellar Collapse / Elliott H. Lieb and H.-T. Yau. V.7. The Chandrasekhar Theory of Stellar Collapse as the Limit of Quantum Mechanics / Elliott H. Lieb and H.-T. Yau. V.8. One-Electron Relativistic Molecules with Coulomb Interaction / Elliott H. Lieb and I. Daubechies. V.9. Many-Body Stability Implies a Bound on the Fine-Structure Constant / Elliott H. Lieb and H.-T. Yau.
• V.10. The Stability and Instability of Relativistic Matter / Elliott H. Lieb and H.-T. Yau. V.11. Stability of Relativistic Matter Via Thomas-Fermi Theory / Elliott H. Lieb, M. Loss and H. Siedentop. V.12. Stability and Instability of Relativistic Electrons in Classical Electromagnetic Fields / Elliott H. Lieb, H. Siedentop and J. P. Solovej. V.13. The N[superscript 7/5] Law for Charged Bosons / Elliott H. Lieb, J. G. Conlon and H.-T. Yau -- Pt. VI. The Thermodynamic Limit for Real Matter with Coulomb Forces. VI.1. The Stability of Matter. VI.2. Existence of Thermodynamics for Real Matter with Coulomb Forces / Elliott H. Lieb and J. L. Lebowitz. VI.3. Lectures on the Thermodynamic Limit for Coulomb Systems / Elliott H. Lieb and J. L. Lebowitz. VI.4. The Thermodynamic Limit for Jellium / Elliott H. Lieb and H. Narnhofer -- Publications of Elliott H. Lieb.

ISBN

3540615652 (hardcover)

LCCN

96035788

OCLC

ocm35269978

Owning Institutions

Columbia University Libraries