Thomas-Fermi and related theories of atoms and molecules

Reviews of Modern Physics

Volumn 53, Issue 4, 1981, Pages 603-641

  Lieb, Elliott H ^a  

^a PRINCETON UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 33847043281     PISSN: 00346861     EISSN: None     Source Type: Journal    
DOI: 10.1103/RevModPhys.53.603     Document Type: Article

References (72)

1. Formation of stable molecules within the statistical theory of atoms
2. The Thomas-Fermi theory as result of a strong-coupling limit
3. Inequalities for potentials of particle systems
4. The von Weizsäcker and exchange corrections in Thomas-Fermi theory
5. Dependence of the Thomas-Fermi Energy on the Nuclear Coordinates
6. The Thomas-Fermi-von Weizsäcker theory of atoms and molecules
7. Existence of stationary states in nonlinear scalar field equations
8. Nonlinear problems related to the Thomas-Fermi equation
9. Some variational problems of the Thomas-Fermi type
10. Long range atomic potentials in Thomas-Fermi theory
11. Removable singularities of nonlinear elliptic equations
12. The free boundary in the Thomas-Fermi atomic model
13. Note on exchange phenomena in the Thomas-Fermi atom
14. Calculation of the interaction potential of atoms for small nuclear separations
15. Uber die Gültigkeit des Virialsatzes in der Fermi-Thomas'schen Theorie
16. On the Thomas-Fermi equation
17. On the exponential falloff of wave functions and electron densities
18. A comparison theorem for differential inequalities with applications in quantum mechanics
19. Über die Gültigkeit des Virialsatzes in der Thomas-Fermischen Theorie
20. On the eigenfunctions of many-particle systems in quantum mechanics
21. Thomas-Fermi calculation of potential between atoms
22. Numerical calculation of the Thomas-Fermi-von Weizsäcker function for an infinite atom without electron repulsion
23. The stability of matter
24. Existence and uniqueness of the minimizing solution of Choquard's nonlinear equation
25. A lower bound for Coulomb energies
26. An improved lower bound on the indirect Coulomb energy
27. The Thomas-Fermi theory of atoms, molecules and solids
28. Monotonicity of the electronic contribution to the Born-Oppenheimer energy
29. Bound for the kinetic energy of fermions which proves the stability of matter
30. A bound for the moments of the eigenvalues of the Schroedinger Hamiltonian and their relation to Sobolev inequalities
31. The Thomas-Fermi approximation in quantum mechanics
32. Uber konvexe Mengen in linearen normierten Räumen
33. The asymptotic behavior of bound eigenfunctions of Hamiltonians of single variable systems
34. Exponential decay of bound state wave functions
35. Absence of discrete spectrum in highly negative ions
36. The binding energy of the Thomas-Fermi atom
37. Use of the statistical field assumption in molecular physics
38. Large time behavior of the Lp norm of Schroedinger semigroups
39. On the stability of molecules in the Thomas-Fermi theory
40. A lower bound with the best possible constant for Coulomb Hamiltonians
41. The calculation of atomic fields
42. Solutions singulières d'equations elliptiques semilinéaire
43. Zur Theorie der Kernmassen
44. On the Weizsäcker correction to the Thomas-Fermi theory of the atom
45. An extended Thomas-Fermi-Dirac theory for diatomic molecules