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catalog contributor b12479970.
catalog contributor b12479971.
catalog created "2001.".
catalog date "2001".
catalog date "2001.".
catalog dateCopyrighted "2001.".
catalog description "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 -- ".
catalog description "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 -- ".
catalog description "Includes bibliographical references.".
catalog description "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 / [et al.] -- 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 -- ".
catalog description "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 -- ".
catalog description "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 -- ".
catalog description "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.".
catalog extent "xiii, 812 p. :".
catalog identifier "3540420835 (acid-free paper)".
catalog issued "2001".
catalog issued "2001.".
catalog language "eng".
catalog publisher "Berlin ; New York : Springer,".
catalog subject "539/.1 21".
catalog subject "Functional analysis.".
catalog subject "Mathematical physics.".
catalog subject "Matter Properties.".
catalog subject "QC173.4.T48 L54 2001".
catalog subject "Thomas-Fermi theory.".
catalog tableOfContents "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 -- ".
catalog tableOfContents "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 -- ".
catalog tableOfContents "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 / [et al.] -- 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 -- ".
catalog tableOfContents "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 -- ".
catalog tableOfContents "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 -- ".
catalog tableOfContents "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.".
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.".
catalog type "text".