Thomas-Fermi theory for matter in a magnetic field as a limit of quantum mechanics

1991 ◽  
Vol 22 (2) ◽  
pp. 107-117 ◽  
Author(s):  
Jakob Yngvason
Keyword(s):  
Magnetic Field ◽  
Quantum Mechanics ◽  
Fermi Theory ◽  
Thomas Fermi

Thomas–Fermi theory with an external magnetic field

1991 ◽  
Vol 32 (10) ◽  
pp. 2907-2917 ◽  
Author(s):  
Jerome A. Goldstein ◽  
Gisèle Ruiz Rieder
Keyword(s):  
Magnetic Field ◽  
External Magnetic Field ◽  
Fermi Theory ◽  
Thomas Fermi

scholarly journals The internal conversion of gamma-rays.—Part II

1928 ◽  
Vol 121 (787) ◽  
pp. 447-456
Keyword(s):  
Magnetic Field ◽  
Quantum Mechanics ◽  
Wave Equation ◽  
Gamma Rays ◽  
Internal Conversion ◽  
Scalar Potential ◽  
X Ray ◽  
Electro Magnetic Field ◽  
Γ Rays ◽  
Electro Magnetic

In a previous paper the absorption of γ-rays in the K-X-ray levels of the atom in which they are emitted was calculated according to the Quantum Mechanics, supposing the γ-rays to be emitted from a doublet of moment f ( t ) at the centre of the atom. The non-relativity wave equation derived from the relativity wave equation for an electron of charge — ε moving in an electro-magnetic field of vector potential K and scalar potential V is h 2 ∇ 2 ϕ + 2μ ( ih ∂/∂ t + εV + ih ε/μ c (K. grad)) ϕ = 0. (1) Suppose, however, that K involves the space co-ordinates. Then, (K. grad) ϕ ≠ (grad . K) ϕ , and the expression (K . grad) ϕ is not Hermitic. Equation (1) cannot therefore be the correct non-relativity wave equation for a single electron in an electron agnetic field, and we must substitute h 2 ∇ 2 ϕ + 2μ ( ih ∂/∂ t + εV) ϕ + ih ε/ c ((K. grad) ϕ + (grad. K) ϕ ) = 0. (2)

Thomas-Fermi Theory of an Inhomogeneous Electron Liquid Generalized to Incorporate Density Gradients

1998 ◽  
Vol 36 (2) ◽  
pp. 91-103 ◽  
Author(s):  
C. Amovilli ◽  
N. H. March ◽  
T. G. Schmalz ◽  
D. J. Klein
Keyword(s):  
Density Gradients ◽  
Fermi Theory ◽  
Thomas Fermi

New Thomas-Fermi theory: A test

1982 ◽  
Vol 25 (4) ◽  
pp. 2399-2401 ◽  
Author(s):  
Lester L. DeRaad ◽  
Julian Schwinger
Keyword(s):  
Fermi Theory ◽  
Thomas Fermi

scholarly journals Caloric curve for finite nuclei in Thomas-Fermi theory

1997 ◽  
Vol 55 (4) ◽  
pp. R1641-R1644 ◽  
Author(s):  
J. N. De ◽  
S. Das Gupta ◽  
S. Shlomo ◽  
S. K. Samaddar
Keyword(s):  
Fermi Theory ◽  
Thomas Fermi ◽  
Caloric Curve ◽  
Finite Nuclei

Thomas-Fermi theory revisited

2002 ◽  
Vol 90 (1) ◽  
pp. 262-265 ◽  
Author(s):  
R. K. Nesbet
Keyword(s):  
Fermi Theory ◽  
Thomas Fermi
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