Many Particle Strongly Interacting Systems.pdf


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Table 1: Evolution of the Mean Field Concept.
Type of the mean field
Author
Uniform molecular field
in dense gases
van der Waals
Uniform internal mean field
in magnets
P.Weiss
Thomas-Fermi model
L.H.Thomas, E.Fermi
Uniform mean field
in many-electron atoms
D.Hartree , V.Fock
Molecular mean field in
Heisenberg ferromagnet
F.Bloch
Non-uniform(local) staggered
mean field in antiferromagnet
L.Neel
Reaction and cavity field in
polar substances
L.Onsager
Stoner mean-field model
of band magnetism
E.Stoner
Slater mean-field model
of band antiferromagnetism
J.Slater
BCS-Bogoliubov mean field in
superconductors
N.N.Bogoliubov
Tyablikov decoupling
for Heisenberg ferromagnet
S.Tyablikov
Mean field theory for SIAM
P.W.Anderson
Density Functional Theory
for inhomogeneous electron gas
W.Kohn
Callen decoupling
for Heisenberg ferromagnet
H.B.Callen
Alloy analogy (mean field) approximation
in strongly correlated model
J.Hubbard
Generalized Mean Fields
in Heisenberg ferromagnet
N.Plakida
Spin Glass Mean Field Model
S.F.Edwards, P.W.Anderson
Generalised Mean Fields in Strongly
Correlated Hubbard Model
A.L.Kuzemsky
Generalized Mean Fields
in Heisenberg antiferromagnet
A.L.Kuzemsky, D.Marvakov
Generalized Mean Fields
for itinerant antiferromagnet
A.L.Kuzemsky

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Year
1873
1905
1926-28
1928-32
1930
1932
1936
1938
1951
1958
1959
1961
1964
1964
1964
1973
1975
1975-78
1990
1999