The Stability of Matter: From Atoms to Stars

1. Introduction

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

3. Lower bound to the energy of complex atoms
Peter Hertel, Elliot H. Lieb, Walter Thirring

4. Improved Lower Bound on the Indirect Coulomb Energy
Elliott H. Lieb, Stephen Oxford

5. Letter to the Editor
Elliott H Lieb

6. Proof of the Stability of Highly Negative Ions in the Absence of the Pauli Principle
Rafael Benguria, Elliott H. Lieb

7. Atomic and Molecular Negative Ions
Elliott H. Lieb

8. Bound on the maximum negative ionization of atoms and molecules
Elliott H. Lieb

9. Approximate Neutrality of Large-Z Ions
Elliott H. Lieb, Israel M. Sigal, Barry Simon, Walter Thirring

10. Universal nature of van der Waals forces for Coulomb Systems
Elliott H. Lieb, Walter E. Thirring

11. Electron density near the nucleus of a large atom
Ole J. Heilmann, Elliott H. Lieb

12. Proof of a conjecture about atomic and molecular cores related to Scott’s correction
Alexei Iantchenko, Elliott H. Lieb, Heinz Siedentop

13. Asymptotics of Natural and Artificial Atoms in Strong Magnetic Fields
Elliott H. Lieb, Jan Philip Solovej, Jakob Yngvason

14. Ground states of large quantum dots in magnetic fields
Elliott H. Lieb, Jan Philip Solovej, Jakob Yngvason

15. Kinetic Energy Bounds and Their Application to the Stability of Matter
Elliott H. Lieb

16. Inequalities for the Moments of the Eigenvalues of the Schrödinger Hamiltonian and Their Relation to Sobolev Inequalities
Elliott H. Lieb, Walter E. Thirring

17. On Semi-Classical Bounds for Eigenvalues of Schrödinger Operators
Michael Aizenman, Elliott H. Lieb

18. The Number of Bound States of One-Body Schroedincer Operators and the Weyl Problem
Elliott H. Lieb

19. Variational Principle for Many-Fermion Systems
Elliott H. Lieb

20. Thomas-fermi and related theories of atoms and molecules
Elliott H Lieb

21. The Hartree-Fock Theory for Coulomb Systems
Elliott H. Lieb, Barry Simon

22. There Are No Unfilled Shells in Unrestricted Hartree-Fock Theory
Volker Bach, Élliott H. Lieb, Michael Loss, Jan Philip Solovej

23. Many-Body Atomic Potentials in Thomas-Fermi Theory
Rafael Benguria, Elliott H. Lieb

24. The Positivity of the Pressure in Thomas Fermi Theory
R. Benguria, E. H. Lieb

25. The Thomas-Fermi-von Weizsäcker Theory of Atoms and Molecules
Rafael Benguria, Haim Brezis, Elliott H. Lieb

26. Analysis of the Thomas-Fermi-von Weizsäcker Equation for an Infinite Atom Without Electron Repulsion
Elliott H. Lieb

27. The most negative ion in the Thomas-Fermi-von Weizsäcker theory of atoms and molecules
Rafael Benguria, Elliott H Lieb

28. Bound for the Kinetic Energy of Fermions Which Proves the Stability of Matter
Elliott H. Lieb, Walter E. Thirring

29. Stability of Coulomb Systems with Magnetic Fields
Jürg Fröhlich, Elliott H. Lieb, Michael Loss

30. Stability of Coulomb Systems with Magnetic Fields
Elliott H. Lieb, Michael Loss

31. Stability of Matter in Magnetic Fields
Elliott H. Lieb, Michael Loss, Jan Philip Solovej

32. The Chandrasekhar Theory of Stellar Collapse as the Limit of Quantum Mechanics
Elliott H. Lieb, Horng-Tzer Yau

33. One-Electron Relativistic Molecules with Coulomb Interaction
Ingrid Daubechies, Elliott H. Lieb

34. The Stability and Instability of Relativistic Matter
Elliott H. Lieb, Horng-Tzer Yau

35. Stability of Relativistic Matter via Thomas-Fermi Theory
Elliott H. Lieb, Michael Loss, Heinz Siedentop

36. Stability and Instability of Relativistic Electrons in Classical Electromagnetic Fields
Elliott H. Lieb, Heinz Siedentop, Jan Philip Solovej

37. The stability of matter
Elliott H. Lieb

38. Existence of Thermodynamics for Real Matter with Coulomb Forces
J. L. Lebowitz, Elliott H. Lieb

39. The Thermodynamic Limit for Jellium
Elliott H. Lieb, Heide Narnhofer

40. Self-Energy of Electrons in Non-Perturbative QED
Elliott H. Lieb, Michael Loss

41. Ground states in non-relativistic quantum electrodynamics
Marcel Griesemer, Elliott H. Lieb, Michael Loss

42. Existence of Atoms and Molecules in Non-Relativistic Quantum Electrodynamics
Elliott H. Lieb, Michael Loss

43. A Bound on Binding Energies and Mass Renormalization in Models of Quantum Electrodynamics
Elliott H. Lieb, Michael Loss

44. Stability of a Model of Relativistic Quantum Electrodynamics
Elliott H. Lieb, Michael Loss

45. Bosonic Systems

46. Ground State Energy of the Low Density Bose Gas
Elliolt H. Lieb, Jakob Yngvason

47. Bosons in a trap: A rigorous derivation of the Gross-Pitaevskii energy functional
Elliott H. Lieb, Robert Seiringer, Jakob Yngvason

48. The N5/3 Law for Bosons
Elliott H. Lieb

49. The N7/5 Law for Charged Bosons
Joseph G. Conlon, Elliott H. Lieb, Horng-Tzer Yau

50. Ground State Energy of the One-Component Charged Bose Gas
Elliott H. Lieb, Jan Philip Solovej

51. Ground State Energy of the Two-Component Charged Bose Gas
Elliott H. Lieb, Jan Philip Solovej

52. Proof of Bose-Einstein Condensation for Dilute Trapped Gases
Elliou H. Lieb, Robert Seiringer

53. Superfluidity in dilute trapped Bose gases
Elliott H. Lieb, Robert Seiringer, Jakob Yngvason

54. One-Dimensional Basons in Three-Dimensional Traps
Elliott H. Lieb, Robert Seiringer, Jakob Yngvason

Keywords: Physics, Mathematical Methods in Physics, Condensed Matter, Quantum Physics, Analysis, Calculus of Variations and Optimal Control, Optimization