| Document Type
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BL
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| Record Number
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759261
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b579232
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| Main Entry
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edited by W. Thirring ; with a preface by F. Dyson.
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| Title & Author
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The stability of matter : : from atoms to stars : selecta of Elliott H. Lieb\ edited by W. Thirring ; with a preface by F. Dyson.
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| Publication Statement
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Berlin ; New York : Springer-Verlag, ©1991.
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| Page. NO
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(viii, 565 pages) : illustrations
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| ISBN
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3662027259
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: 3662027275
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: 9783662027257
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: 9783662027271
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| Contents
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I. Review --; I.1 The Stability of Matter: From Atoms to Stars --; II. Exact Results on Atoms --; II. 1 Lower Bound to the Energy of Complex Atoms --; II. 2 Improved Lower Bound on the Indirect Coulomb Energy --; 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 --; 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 --; II. 8 Universal Nature of van der Waals Forces for Coulomb Systems --; II. 9 Approximate Neutrality of Large-Z Ions --; 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 --; III. 3 On Semi-Classical Bounds for Eigenvalues of Schrodinger Operators --; III. 4 The Number of Bound States of One-Body Schrodinger Operators and the Weyl Problem --; 111.5 Variational Principle for Many-Fermion Systems --; 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 --; IV. 3 Many-Body Atomic Potentials in Thomas-Fermi Theory --; IV. 4 The Positivity of the Pressure in Thomas-Fermi Theory --; IV. 5 The Thomas-Fermi-von Weizsäcker Theory of Atoms and Molecules --; IV. 6 Analysis of the Thomas-Fermi-von Weizsäcker Equation for an Infinite Atom Without Electron Repulsion --; IV. 7 The Most Negative Ion in the Thomas-Fermi-von Weizsäcker Theory of Atoms and Molecules --; V. Stability of Matter --; V.1 Bound for the Kinetic Energy of Fermions Which Proves the Stability of Matter --; V.2 The N5/3 Law for Bosons --; V.3 Stability of Coulomb Systems with Magnetic Fields. I. The One-Electron Atom --; V.4 Stability of Coulomb Systems with Magnetic Fields. II. The Many-Electron Atom and the One-Electron Molecule --; V.5 The Chandrasekhar Theory of Stellar Collapse as the Limit of Quantum Mechanics --; V.6 A Rigorous Examination of the Chandrasekhar Theory of Stellar Collapse --; V.7 The Stability and Instability of Relativistic Matter --; V.8 Many-Body Stability Implies a Bound on the Fine-Structure Constant --; V.9 The N7/5 Law for Charged Bosons --; V.10 One-Electron Relativistic Molecules with Coulomb Interaction --; 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 --; VI. 3 Lectures on the Thermodynamic Limit for Coulomb Systems --; VI. 4 The Thermodynamic Limit for Jellium --; Publications of Elliott H. Lieb.
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| Abstract
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This collection of papers - starting with a brilliant review article by one of the masters of the field - gives an excellent view of our present knowledge of matter. Partially basing his work on a variational formulation of quantum mechanics E.H. Lieb links the difficult question of stability of matter with deep problems of functional analysis. In this collection the reader will find general results together with deep insights into quantum systems combined in papers on the structure of atoms and molecules, on the thermodynamics limit, and on stellar structure. The book is suitable as an accompanying text for a graduate course in quantum mechanics.
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| Subject
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Functional analysis.
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| Subject
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Matter -- Properties.
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| Subject
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Thomas-Fermi theory.
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| LC Classification
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QC173.4.T48E358 1991
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| Added Entry
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Elliott H Lieb
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Walter E Thirring
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