Exact Green's function of the equations of quantum mechanics in an electromagnetic field. I

1975 ◽  
Vol 18 (11) ◽  
pp. 1535-1539
Author(s):  
V. V. Belov
Keyword(s):  
Electromagnetic Field ◽  
Quantum Mechanics ◽  
Green’S Function ◽  
Green's Function

scholarly journals REGULARIZED GREEN'S FUNCTION FOR THE INVERSE SQUARE POTENTIAL

2002 ◽  
Vol 17 (13) ◽  
pp. 817-826 ◽  
Author(s):  
HORACIO E. CAMBLONG ◽  
CARLOS R. ORDÓÑEZ
Keyword(s):  
Quantum Mechanics ◽  
Green’S Function ◽  
Green's Function ◽  
Path Integral ◽  
Real Space ◽  
Liouville Theory ◽  
Hyperspherical Coordinates ◽  
Closed Expression ◽  
Integral Treatment ◽  
Sturm Liouville

A Green's function approach is presented for the D-dimensional inverse square potential in quantum mechanics. This approach is implemented by the introduction of hyperspherical coordinates and the use of a real-space regulator in the regularized version of the model. The application of Sturm–Liouville theory yields a closed expression for the radial energy Green's function. Finally, the equivalence with a recent path-integral treatment of the same problem is explicitly shown.

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.

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