Green's function of an electron in an external electromagnetic field

1982 ◽  
Vol 25 (2) ◽  
pp. 111-114
Author(s):  
I. A. Khokhlov
Keyword(s):  
Electromagnetic Field ◽  
Green’S Function ◽  
Green's Function ◽  
External Electromagnetic Field

Green’s function of the electromagnetic field in biaxial media

1993 ◽  
Vol 48 (2) ◽  
pp. 1436-1446 ◽  
Author(s):  
D. N. Moskvin ◽  
V. P. Romanov ◽  
A. Yu. Val’kov
Keyword(s):  
Electromagnetic Field ◽  
Green’S Function ◽  
Green's Function

CASIMIR ENERGY OF A DIELECTRIC-DIAMAGNETIC MEDIA

2002 ◽  
Vol 17 (06n07) ◽  
pp. 808-812
Author(s):  
ISRAEL KLICH
Keyword(s):  
Electromagnetic Field ◽  
Green’S Function ◽  
Green's Function ◽  
Casimir Energy ◽  
Outer Shell ◽  
Magnetic Media ◽  
Uniform Velocity ◽  
Velocity Of Light ◽  
Born Series ◽  
Do So

We study the density of Casimir energy in dielectric and magnetic media. To do so we derive Born series for the Green's function of the electromagnetic field in a medium with arbitrary ∊ and μ. Within this framework the case of uniform velocity of light (∊μ = const ) is studied. As an application we consider the Casimir energy of a thick dielectric-diamagnetic shell, as a function of the radii and the permeabilities. We show that there is a range of parameters in which the stress on the outer shell is inward, and a range where the stress on the outer shell is outward.

scholarly journals GREEN'S FUNCTION AND LARGE TIME BEHAVIOR OF THE NAVIER–STOKES–MAXWELL SYSTEM

2012 ◽  
Vol 10 (02) ◽  
pp. 133-197 ◽  
Author(s):  
RENJUN DUAN
Keyword(s):  
Electromagnetic Field ◽  
Steady State ◽  
Green’S Function ◽  
Green's Function ◽  
Stokes Equations ◽  
Large Time Behavior ◽  
Navier Stokes ◽  
Constant Density ◽  
Time Behavior ◽  
Navier Stokes Equations

In this paper, we are concerned with the system of the compressible Navier–Stokes equations coupled with the Maxwell equations through the Lorentz force in three space dimensions. The asymptotic stability of the steady state with the strictly positive constant density and the vanishing velocity and electromagnetic field is established under small initial perturbations in regular Sobolev space. For that, the dissipative structure of this hyperbolic-parabolic system is studied to include the effect of the electromagnetic field into the viscous fluid and turns out to be more complicated than that in the simpler compressible Navier–Stokes system. Moreover, the detailed analysis of the Green's function to the linearized system is made with applications to derive the rate of the solution converging to the steady state.

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