The Thomas-Fermi theory of atoms, molecules and solids

Advances in Mathematics

Volumn 23, Issue 1, 1977, Pages 22-116

  Lieb, Elliott H ^a   Simon, Barry ^a  

^a PRINCETON UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 33846040104     PISSN: 00018708     EISSN: 10902082     Source Type: Journal    
DOI: 10.1016/0001-8708(77)90108-6     Document Type: Review

References (111)

1. Variational solutions of some nonlinear free boundary problems
2. The application of the Fermi-Thomas statistical model to the calculation of potential distribution in positive ions
3. Formation of stable molecules within the statistical theory of Atoms
4. Spectral theory of Schrödinger operators of many body systems with permutation and rotation symmetries
5. An existence proof for the Hartree-Fock time dependent problem with bounded two-body interaction
6. La mécanique ondulatoire de Schrödinger; une méthode générale de résolution par approximations successives
7. Asymptotic distribution of the eigenvalues of the lower part of the Schrödinger operator spectrum
8. Global existence of solutions to the Cauchy problem for time-dependent Hartree equations
9. Uniformly convex spaces
10. Note on exchange phenomena in the Thomas atom
11. Un metodo statistico per la determinazione di alcune priorietà dell'atome
12. Equations of state of elements based on generalized Fermi-Thomas theory
13. Näherungsmethode zur Lösung des Quantenmechanischen Mehrkörperproblems
14. Bemerkung zum Virialsatz
15. Über die Gültigkeit des Virialsatzes in der Fermi-Thomaschen Theorie
16. Solution of the Hartree-Fock equations
17. A proof that the free energy of a spin system is extensive; Appendix A
18. Partial differential equations and a theorem of Kneser
19. The wave mechanics of an atom with a non-coulomb central field Part I theory and methods
20. Lower bound to the energy of complex atoms
21. Thermodynamic functions for fermions with gravostatic and electrostatic interactions
22. Free energy of gravitating fermions
23. On the Thomas-Fermi Equation
24. ++ usw.
25. Über die Gültigkeit des Virialsatzes in der Thomas-Fermischen Theorie
26. On the convergence of the perturbation method I II
27. On the convergence of the perturbation method I II
28. On the convergence of the perturbation method I II
29. Fundamental properties of Hamiltonian operators of Schrödinger type
30. On the eigenfunctions of many particle systems in quantum mechanics
31. Some mathematical problems in quantum mechanics
32. Wellenmechanik and halbzählige Quantisierung
33. The constitution of matter: Existence of thermodynamics for systems composed of electrons and nuclei
34. Über die Anwendbarkeit der statistischen Methode auf Ionengitter
35. Quantum mechanical extension of the Lebowitz-Penrose theorem on the Van der Waals theory
36. The thermodynamic limit for jellium
37. Thomas-Fermi theory revisited
38. On solutions to the Hartree-Fock problem for atoms and molecules
39. Bound for the kinetic energy of fermions which proves the stability of matter
40. Inequalities for the moments of the eigenvalues of the Schrödinger equation and their relation to Sobolev inequalities
41. The Thomas-Fermi approximation in quantum mechanics
42. Bound states in the strong coupling limit
43. The distribution of eigenvalues for the hydrogen atom and similar cases
44. The total energy of binding of a heavy atom
45. Convexity properties for coulomb systems
46. On the invariant regularization in relativistic quantum theory
47. Inequalities for nonrelativistic total energies and potential energy components of isoelectronic atoms
48. Inequalities for nonrelativistic total energies and potential energy components of isoelectronic atoms
49. General theorem on bifurcation and its application to the Hartree equation of the helium atom
50. Störungstheorie der Spektralzerlegung, I–V
51. Störungstheorie der Spektralzerlegung, I–V
52. Störungstheorie der Spektralzerlegung, I–V
53. Störungstheorie der Spektralzerlegung, I–V
54. Störungstheorie der Spektralzerlegung, I–V
55. Algebraic solutions of the Thomas-Fermi equation for atoms
56. A branching analysis of the Hartree equation
57. The binding energy of the Thomas-Fermi atom
58. Use of the statistical field approximation in molecular physics
59. On the infinitude vs. finiteness of the number of bound states of an N-body quantum system, I
60. Resonances in N-body quantum systems with dilatation analytic potentials and the foundations of time dependent perturbation theory
61. Pointwise bounds on eigenfunctions and wave packets in N-body quantum systems, I
62. Pointwise bounds on eigenfunctions and wave packets in N-body quantum systems, III
63. Note on Hartree's method
64. Asymptotische Integration der Differentialgleichung des Thomas-Fermischen Atoms
65. Existence Theory for the Hartree Equation
66. The asymptotic eigenvalue distribution for non-smooth elliptic operators
67. On the stability of molecules in the Thomas-Fermi theory
68. The calculation of atomic fields
69. An experimental verification of the Thomas-Fermi model for metals under high pressure
70. The virial theorem and its application to the spectral theory of Schrödinger operators
71. Eine Verallgemeinerung der Quantenbedingungen für die Zwecke der Wellenmechanik
72. Existence of solutions of the Hartree equation for N electrons an application of the Schauder-Tychonoff theorem
73. Discreteness of the spectrum of the Schrödinger operator for systems of many particles
74. The stability of matter