Green function or green's function?

2006 ◽  
Vol 2 (10) ◽  
pp. 646-646 ◽  
Author(s):  
M. C. M. Wright
Keyword(s):  
Green Function ◽  
Green’S Function ◽  
Green's Function

scholarly journals Green’s Function for Dirac Particle in a Non-Abelian Field: A Path Integral Approach

2013 ◽  
Vol 2013 ◽  
pp. 1-15
Author(s):  
Sami Boudieb ◽  
Lyazid Chetouani
Keyword(s):  
Green Function ◽  
Green’S Function ◽  
Green's Function ◽  
Path Integral ◽  
Dirac Particle ◽  
Integral Approach ◽  
Path Integral Approach ◽  
Abelian Field ◽  
The Green Function

The Green function for a Dirac particle moving in a non-Abelian field and having a particular form is exactly determined by the path integral approach. The wave functions were deduced from the residues of Green’s function. It is shown that the classical paths contributed mainly to the determination of the Green function.

On an explicit form of the Green function of the Robin problem for the Laplace operator in a circle

2015 ◽  
Vol 6 (3) ◽  
Author(s):  
Makhmud A. Sadybekov ◽  
Batirkhan K. Turmetov ◽  
Berikbol T. Torebek
Keyword(s):  
Green Function ◽  
Green’S Function ◽  
Unit Ball ◽  
Explicit Form ◽  
Laplace Operator ◽  
Green's Function ◽  
Robin Problem ◽  
The Green Function ◽  
The Laplace Operator

AbstractThe paper is devoted to investigation questions about constructing the explicit form of the Green's function of the Robin problem in the unit ball of ℝ

Contact Analysis Using Surface Green’s Functions for Isotropic Materials With Surface Stress and Surface Elasticity

2010 ◽  
Author(s):  
Hideo Koguchi ◽  
Naoki Nishi
Keyword(s):  
Green Function ◽  
Green’S Function ◽  
Amorphous Silicon ◽  
Green's Function ◽  
Surface Stress ◽  
Surface Elasticity ◽  
Contact Analysis ◽  
Isotropic Materials ◽  
Stroh's Formalism ◽  
Stroh’S Formalism

Surface stress and surface elasticity are related to an organization of surface pattern and reconstruction of surface atoms. When the size of material reduces to a nanometer level, a ratio of surface to volume increases. Then, surface stress and surface elasticity influence on mechanical response near surface for an external force on the surface. Stroh formalism is very useful for analyzing the stress and displacement in anisotropic materials. When the Stroh’s formalism is applied to isotropic materials, the eigen matrix derived from equilibrium equation yields a triple root of i (i: imaginary unit), and then an independent eigen vector corresponding to the eigen value can not be determined. In this paper, surface Green function for isotropic materials is derived using Stroh’s formalism. The derived Green function considering neither surface stress nor surface elasticity agrees with the solution of Boussinesq. The surface Green’s function considering surface stress and surface elasticity is used for analyzing the displacement fields in amorphous silicon. It was found that the displacements obtained from the Green’s function were less than those from Boussinesq’s solution. Furthermore, the derived surface Green’s function is applied to a contact analysis for isotropic materials such as amorphous silicon. It is found that an apparent Young’s modulus determined from a force-indentation depth curve increases when surface stress and elasticity is taken into account in the analysis.

On Green’s function of the Robin problem for the Poisson equation

2019 ◽  
Vol 10 (3) ◽  
pp. 203-213 ◽  
Author(s):  
Valery V. Karachik ◽  
Batirkhan K. Turmetov
Keyword(s):  
Green Function ◽  
Green’S Function ◽  
Unit Ball ◽  
Poisson Equation ◽  
Green's Function ◽  
Explicit Representation ◽  
Robin Problem ◽  
The Poisson Equation ◽  
The Green Function

AbstractAn explicit representation of the Green function of the Robin problem for the Poisson equation in the unit ball is given.

scholarly journals On Green’s function of Cauchy–Dirichlet problem for hyperbolic equation in a quarter plane

2021 ◽  
Vol 2021 (1) ◽  
Author(s):  
Makhmud Sadybekov ◽  
Bauyrzhan Derbissaly
Keyword(s):  
Dirichlet Problem ◽  
Green Function ◽  
Green’S Function ◽  
Hyperbolic Equation ◽  
Green's Function ◽  
Existence And Uniqueness ◽  
Quarter Plane ◽  
Definition Of

AbstractThe definition of a Green’s function of a Cauchy–Dirichlet problem for the hyperbolic equation in a quarter plane is given. Its existence and uniqueness have been proven. Representation of the Green’s function is given. It is shown that the Green’s function can be represented by the Riemann–Green function.

GREEN'S FUNCTION MATCHING METHOD FOR REALISTIC CALCULATIONS OF INTERFACES

1985 ◽  
Vol 46 (C4) ◽  
pp. C4-321-C4-329 ◽  
Author(s):  
E. Molinari ◽  
G. B. Bachelet ◽  
M. Altarelli
Keyword(s):  
Green’S Function ◽  
Green's Function ◽  
Matching Method

THE ATOMISTIC GREEN'S FUNCTION METHOD FOR INTERFACIAL PHONON TRANSPORT

2014 ◽  
Vol 17 (N/A) ◽  
pp. 89-145 ◽  
Author(s):  
Sridhar Sadasivam ◽  
Yuhang Che ◽  
Zhen Huang ◽  
Liang Chen ◽  
Satish Kumar ◽  
...  
Keyword(s):  
Green’S Function ◽  
Green's Function ◽  
Function Method ◽  
Phonon Transport ◽  
Green’S Function Method
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