The Stability of Matter: From Atoms to Stars (eBook) von Elliott H. Lieb

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 Scotts 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.

Excellent current review of our knowledge of matter. In this new edition two new sections have been added: quantum electrodynamics and Boson systems.