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The Stability of Matter: From Atoms to Stars Selecta of Elliott H. Lieb /

This collection of papers -- starting with a brilliant article by one of the masters of the field -- gives an excellent current review of our knowledge of matter. Partially basing his own work on a variational formulation of quantum mechanics, E.H. Lieb links the difficult question of the stability...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Lieb, Elliott H. (Autor)
Autor Corporativo: SpringerLink (Online service)
Otros Autores: Thirring, Walter (Editor )
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2005.
Edición:4th ed. 2005.
Temas:
Acceso en línea:Texto Completo
Tabla de Contenidos:
  • The Stability of Matter: From Atoms to Stars
  • Lower bound to the energy of complex atoms
  • Improved Lower Bound on the Indirect Coulomb Energy
  • Letter to the Editor
  • Proof of the Stability of Highly Negative Ions in the Absence of the Pauli Principle
  • Atomic and Molecular Negative Ions
  • Bound on the maximum negative ionization of atoms and molecules
  • Approximate Neutrality of Large-Z Ions
  • Universal nature of van der Waals forces for Coulomb Systems
  • Electron density near the nucleus of a large atom
  • Proof of a conjecture about atomic and molecular cores related to Scott's correction
  • Asymptotics of Natural and Artificial Atoms in Strong Magnetic Fields
  • Ground states of large quantum dots in magnetic fields
  • Kinetic Energy Bounds and Their Application to the Stability of Matter
  • Inequalities for the Moments of the Eigenvalues of the Schrödinger Hamiltonian and Their Relation to Sobolev Inequalities
  • On Semi-Classical Bounds for Eigenvalues of Schrödinger Operators
  • The Number of Bound States of One-Body Schroedincer Operators and the Weyl Problem
  • Variational Principle for Many-Fermion Systems
  • Thomas-fermi and related theories of atoms and molecules
  • The Hartree-Fock Theory for Coulomb Systems
  • There Are No Unfilled Shells in Unrestricted Hartree-Fock Theory
  • Many-Body Atomic Potentials in Thomas-Fermi Theory
  • The Positivity of the Pressure in Thomas Fermi Theory
  • The Thomas-Fermi-von Weizsäcker Theory of Atoms and Molecules
  • Analysis of the Thomas-Fermi-von Weizsäcker Equation for an Infinite Atom Without Electron Repulsion
  • The most negative ion in the Thomas-Fermi-von Weizsäcker theory of atoms and molecules
  • Bound for the Kinetic Energy of Fermions Which Proves the Stability of Matter
  • Stability of Coulomb Systems with Magnetic Fields
  • Stability of Coulomb Systems with Magnetic Fields
  • Stability of Matter in Magnetic Fields
  • The Chandrasekhar Theory of Stellar Collapse as the Limit of Quantum Mechanics
  • One-Electron Relativistic Molecules with Coulomb Interaction
  • The Stability and Instability of Relativistic Matter
  • Stability of Relativistic Matter via Thomas-Fermi Theory
  • Stability and Instability of Relativistic Electrons in Classical Electromagnetic Fields
  • The stability of matter
  • Existence of Thermodynamics for Real Matter with Coulomb Forces
  • The Thermodynamic Limit for Jellium
  • Self-Energy of Electrons in Non-Perturbative QED
  • Ground states in non-relativistic quantum electrodynamics
  • Existence of Atoms and Molecules in Non-Relativistic Quantum Electrodynamics
  • A Bound on Binding Energies and Mass Renormalization in Models of Quantum Electrodynamics
  • Stability of a Model of Relativistic Quantum Electrodynamics
  • Bosonic Systems
  • Ground State Energy of the Low Density Bose Gas
  • Bosons in a trap: A rigorous derivation of the Gross-Pitaevskii energy functional
  • The N5/3 Law for Bosons
  • The N7/5 Law for Charged Bosons
  • Ground State Energy of the One-Component Charged Bose Gas
  • Ground State Energy of the Two-Component Charged Bose Gas
  • Proof of Bose-Einstein Condensation for Dilute Trapped Gases
  • Superfluidity in dilute trapped Bose gases
  • One-Dimensional Basons in Three-Dimensional Traps.