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The stability of matter : from atoms to stars : selecta of Elliott H. Lieb

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, 2001.

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Request for On-site Use Request Scan How do I pick up this item and when will it be ready?	Text	Use in library	QC173.4.T48 L54 2001	Off-site

Details

Additional Authors

Thirring, Walter, 1927-2014

Description

xiii, 812 pages : illustrations; 25 cm

Subject

Genre/Form

Aufsatzsammlung.

Note

"Publications of Elliot H. Lieb"--Page 797-812.

Bibliography (note)

Includes bibliographical references.
"Publications of Elliot H. Lieb": p. 797-812.

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. Approximate Neutrality of Large-Z Ions / Elliott H. Lieb, I.M. Sigal and B. Simon / [and others] -- II. 8. Universal Nature of van der Waals Forces for Coulomb Systems / Elliott H. Lieb and W. Thirring -- II. 9. Electron Density Near the Nucleus of a Large Atom / Elliott H. Lieb and O.J. Heilmann -- II. 10. Proof of a Conjecture About Atomic and Molecular Cores Related to Scott's Correction / Elliott H. Lieb, A. Iantchenko and H. Siedentop -- II. 11. Asymptotics of Natural and Artificial Atoms in Strong Magnetic Fields / Elliott H. Lieb, J.P. Solovej and J. Yngvason -- II. 12. 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 / [and others] -- 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. Stability of Coulomb Systems with Magnetic Fields. I. The One-Electron Atom / Elliott H. Lieb, J. Frohlich and M. Loss -- V.3. Stability of Coulomb Systems with Magnetic Fields II. The Many-Electron Atom and the One-Electron Molecule / Elliott H. Lieb and M. Loss -- V.4. Stability of Matter in Magnetic Fields / Elliott H. Lieb, M. Loss and J.P. Solovej -- V.5. The Chandrasekhar Theory of Stellar Collapse as the Limit of Quantum Mechanics / Elliott H. Lieb and H.-T. Yau -- V.6. One-Electron Relativistic Molecules with Coulomb Interaction / Elliott H. Lieb and I. Daubechies -- V.7. The Stability and Instability of Relativistic Matter / Elliott H. Lieb and H.-T. Yau -- V.8. Stability of Relativistic Matter Via Thomas-Fermi Theory / Elliott H. Lieb, M. Loss and H. Siedentop -- V.9. Stability and Instability of Relativistic Electrons in Classical Electromagnetic Fields / Elliott H. Lieb, H. Siedentop and J.P. Solovej -- 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. The Thermodynamic Limit for Jellium / Elliott H. Lieb and H. Narnhofer -- pt. VII. Quantum Electrodynamics -- VII. 1. Self Energy of Electrons in Non-perturbative QED / Elliott H. Lieb and M. Loss -- VII. 2. Renormalization of the Regularized Electron-Positron Field / Elliott H. Lieb and H. Siedentop -- VII. 3. Ground States in Non-relativistic Quantum Electrodynamics / Elliott H. Lieb, M. Griesemer and M. Loss -- pt. VIII. Bosonic Systems -- VIII. 1. Introduction -- VIII. 2. Ground State Energy of the Low Density Bose Gas / Elliott H. Lieb and J. Yngvason -- VIII. 3. Bosons in a Trap: A Rigorous Derivation of the Gross-Pitaevskii Energy Functional / Elliott H. Lieb, R. Seiringer and J. Yngvason -- VIII. 4. The Bose Gas: A Subtle Many-Body Problem -- VIII. 5. The N[superscript 5/3] Law for Bosons -- VIII. 6. The N[superscript 7/5] Law for Charged Bosons / Elliott H. Lieb, J.G. Conlon and H.-T. Yau -- VIII. 7. Ground State Energy of the One-Component Charged Bose Gas / Elliott H. Lieb and J.P. Solovej -- Publications of Elliott H. Lieb.

ISBN

3540420835
9783540420835

LCCN

2001041096

OCLC

ocm47056447
47056447
SCSB-1234452

Owning Institutions

Princeton University Library