Clausius-Mosotti limit of the quantum theory of the electronic dielectric constant

1984 ◽  
Vol 29 (2) ◽  
pp. 728-734 ◽  
Author(s):  
L. Bányai ◽  
P. Gartner
Keyword(s):  
Dielectric Constant ◽  
Quantum Theory

scholarly journals The quantum theory and the dielectric constant

1924 ◽  
Vol 105 (734) ◽  
pp. 650-661 ◽  
Keyword(s):  
Dielectric Constant ◽  
Quantum Theory ◽  
Electric Field ◽  
Total Energy ◽  
Quantum Number ◽  
Quantum Numbers

The change of energy of an atom of hydrogen when submitted to an electric field has been calculated by Epstein. If W denotes the total energy of an atom, then the change in energy Δ W, due to the field F, is given by ΔW = - 3 h 2 F/8 π 2 m E ( n 2 - n 1 ) ( n 1 + n 2 + n 3 ) + 17 e 2 F 2 /(16 π R H ) 2 m Z ( n 1 , n 2 , n 3 ), where R H is Rydberg's constant for hydrogen and Z ( n 1 , n 2 , n 3 ) = ( n 1 + n 2 + n 3 ) 6 {1 - 3/17 ( n 1 - n 2 /( n 1 + n 2 + n 3 ) 2 - 9/17 ( n 3 / n 1 + n 2 + n 3 ) 2 }, and n 1 and n 2 are parabolic quantum numbers and n 3 is the equatorial quantum number.

Quantum Theory of the Dielectric Constant in Real Solids

1962 ◽  
Vol 126 (2) ◽  
pp. 413-420 ◽  
Author(s):  
Stephen L. Adler
Keyword(s):  
Dielectric Constant ◽  
Quantum Theory

scholarly journals The quantum theory of dispersion in metallic conductors

1929 ◽  
Vol 124 (794) ◽  
pp. 409-422 ◽  
Keyword(s):  
Electrical Conductivity ◽  
Dielectric Constant ◽  
Electromagnetic Field ◽  
Quantum Theory ◽  
Isotropic Medium ◽  
Electromagnetic Waves ◽  
Maxwell’S Equations ◽  
Maxwell's Equations ◽  
Classical Electrodynamics ◽  
Metallic Conductivity

1. Formulation of the problem. - The propagation of electromagnetic waves in a homogeneous isotropic medium showing metallic conductivity has been treated phenomenologically on the basis of classical electrodynamics. If in Maxwell's equations for the electromagnetic field curl E = - 1/ c ∂B/∂ t , curl H = 1/ c (∂D/∂ t + 4πI), div D = 4πρ, div B = 0, we assume that D = εE, B = μH, I = σE, (1) where e is the dielectric constant, u the permeability and q the electrical conductivity, we get curl E = - μ/c ∂H/∂ t , curl H = 1/ c (ε ∂E/∂ t 4πσE), div E = 4πρ/ε. div H =0.

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