Dyadic green function for the electromagnetic field in multilayered isotropic media: an operator approach

1985 ◽  
Vol 132 (5) ◽  
pp. 329 ◽  
Author(s):  
T. Sphicopoulos ◽  
V. Teodoridis ◽  
F.E. Gardiol
Keyword(s):  
Electromagnetic Field ◽  
Green Function ◽  
Operator Approach ◽  
Isotropic Media

On the multipole expansion in the theory of optical activity

1976 ◽  
Vol 54 (5) ◽  
pp. 471-474 ◽  
Author(s):  
J. Van Kranendonk ◽  
J. E. Sipe
Keyword(s):  
Electromagnetic Field ◽  
Optical Activity ◽  
Canonical Transformation ◽  
Multipole Expansion ◽  
Isotropic Media

The different Hamiltonians for a molecule interacting with the electromagnetic field, which have been used in the literature on the optical activity of isotropic media, are shown to be related by a canonical transformation and hence to be equivalent. Because of its greater simplicity, the use of the multipole Hamiltonian in the theory of optical activity is advocated.

A reexamination of the Green function treatment of the Mollow problem

1985 ◽  
Vol 63 (2) ◽  
pp. 139-143 ◽  
Author(s):  
D. A. Hutchinson
Keyword(s):  
Electromagnetic Field ◽  
Green Function ◽  
Excitation Spectrum ◽  
Function Method ◽  
Equations Of Motion ◽  
Green Function Method ◽  
Infinite Hierarchy ◽  
Level Atom ◽  
The Green Function

The application of the Green function method to the Mollow problem is reconsidered. This problem consists of an intense monochromatic electromagnetic field in resonance with a two-level atom. We obtain a solution to the infinite hierarchy of Green function equations of motion instead of decoupling the equations of motion. This solution gives an excitation spectrum in agreement with Mollow's results. We conclude that earlier discrepancies in the excitation spectrum were artifacts of the decoupling procedure. Finally, we comment upon the physical ideas associated with the present and previous Green function treatments of the Mollow problem.

scholarly journals Mott−Hubbard Lacalization in a Model of the Electronic Subsystem of Doped Fullerides

2012 ◽  
Vol 57 (9) ◽  
pp. 920
Author(s):  
Yu. Dovhopyaty ◽  
L. Didukh ◽  
O. Kramar ◽  
Yu. Skorenkyy ◽  
Yu. Drohobitskyy
Keyword(s):  
Energy Spectrum ◽  
Green Function ◽  
Function Method ◽  
Electronic Subsystem ◽  
Metal Insulator Transition ◽  
Operator Approach ◽  
Green Function Method ◽  
Metal Insulator ◽  
Band Filling ◽  
The Green Function

A microscopical model of doped fulleride electronic subsystem taking the triple orbital degeneracy of energy states into account is considered within the configurational-operator approach. Using the Green function method, the energy spectrum at the integer band filling n = 1 corresponding to AC60 compounds is calculated. A possible correlation-driven metal-insulator transition within the model is discussed.

The Electron and the Muon as Eigensolutions of the Quantum Electromechanics under the Green-Function δ (x2 + l2)

1973 ◽  
Vol 28 (3-4) ◽  
pp. 408-416 ◽  
Author(s):  
Fritz Bopp ◽  
Werner Lutzenberger
Keyword(s):  
Electromagnetic Field ◽  
Mass Spectrum ◽  
Green Function ◽  
Degrees Of Freedom ◽  
Life Time ◽  
Bare Mass ◽  
Mass Ratio ◽  
Classical Motion ◽  
The Green Function ◽  
Quantum Electromechanics

AbstractReplacing the Green function of Maxwell's electrodynamics δ(x2) by δ(x2 + l2) we obtain a Hamiltonian with a finite number of degrees of freedom for the classical motion of a pointcharge in its own electromagnetic field. After quantization we obtain a mass spectrum if we assume that a nonelectrodynamic bare mass M exists. The spectral terms are S1/2 , P1/2; P3/2 , D3/2; D5/2 etc. (k = +1, -1; +2, -2; +3 ...). It is possible to fit the length l in the Green function and the mass M so that the mass ratio of the lowest terms becomes m (P1/2)/m(S1/2) = mμ/me . We then get: l =4,896 · 10-91 ħ/mp c, M = 15,32mp . Hence the deviation from Maxwell's electrodynamic is extremely small, but not zero, and heavy leptons should exist near m = | M | . Some further leptonic states exist with masses similar to that of the muon. All states, those of the electron and the muon excepted, are γ-instable (life time 10-17 sec. resp. 10-26 sec.).

scholarly journals Self-force and the Huygens principle

2020 ◽  
Vol 35 (02n03) ◽  
pp. 2040016
Author(s):  
N. Khusnutdinov
Keyword(s):  
Electromagnetic Field ◽  
Green Function ◽  
Gravitational Wave ◽  
Vector Potential ◽  
Interaction Force ◽  
The Self ◽  
No Tail ◽  
Wave Space ◽  
Huygens Principle ◽  
Self Force

We consider a relation between the Huygens Principle (HP) in gravity and the self-interaction force. We show that the self-force for an electric particle in the plane gravitational wave space-time has no tail term even the vector Green function does not obey the HP. The reason for this observation is that even vector potential does not obey the HP, the electromagnetic field does obey.

Unusual Properties of Anisotropic Magnetodielectric Metamaterials

2014 ◽  
Vol 1082 ◽  
pp. 46-50
Author(s):  
Yun Xia Dong ◽  
Chun Ying Liu
Keyword(s):  
Electromagnetic Field ◽  
Green Function ◽  
Layer Structure ◽  
Single Layer ◽  
Input Output ◽  
Anisotropic Metamaterials ◽  
Polarized Waves ◽  
Linearly Polarized ◽  
The Green Function ◽  
Green Function Approach

A phenomenological quantization of electromagnetic field is introduced in the presence of the anisotropic magnetodielectric metamaterials. For a single layer structure with the anisotropic metamaterials, input-output relations are derived using the Green-function approach. Based on these relations, the reflectance of the linearly polarized wave through this structure is calculated. The results show different reflectance for different polarized waves and indicate an application of the anisotropic metamaterials to be the reflectors for certain polarized wave. Furthermore it is found that such a structure can realize the resonant gap with the increase of the thickness. Finally the effects of the absorption are considered and we find that the above properties do not change with introduction of the absorption.

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