An Extension of the Definition of the Green's Function in One Dimension

1924 ◽  
Vol 26 (1/2) ◽  
pp. 125 ◽  
Author(s):  
W. M. Whyburn
Keyword(s):  
Green’S Function ◽  
Green's Function ◽  
One Dimension ◽  
Definition Of

scholarly journals Exact Green's Function for the Finite Rectangular Potential Well in One Dimension

1985 ◽  
Vol 40 (4) ◽  
pp. 379-382 ◽  
Author(s):  
R. Baltin
Keyword(s):  
Green’S Function ◽  
Green's Function ◽  
Free Particle ◽  
One Dimension ◽  
Potential Well ◽  
Complex Energy ◽  
One Dimensional ◽  
Special Cases ◽  
The One ◽  
Energy Plane

For the one-dimensional potential well with finite height V0( V0 > 0 or V0 < 0) the exact Green's function G is calculated by solving the differential equation. The poles of G in the complex energy plane are shown to coincide with the solutions to the Schrödinger eigenvalue equation for this potential. The well-known Green's functions for the special cases of the free particle and of the particle in an infinitely high potential box are recovered.

On the Green's Function Approach and the Parametric Study of Force Constants

1973 ◽  
Vol 28 (7) ◽  
pp. 1158-1162
Author(s):  
A. Alix ◽  
N. Mohan ◽  
A. Müller
Keyword(s):  
Potential Energy ◽  
Green’S Function ◽  
Green's Function ◽  
Parametric Study ◽  
Function Analysis ◽  
Force Constants ◽  
Potential Energy Distribution ◽  
Mixing Parameter ◽  
Order Case ◽  
Definition Of

A detailed study of the Green's function analysis of the vibrations of substituted and perturbed molecules is made. The similarity in approach of this procedure with the parametric study of force constants is pointed out. The significance of the signs of the different parameters entering the '"mixing parameter matrix" is discussed for any nth order case, using the definition of potential energy distribution.

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
Sign in / Sign up

Export Citation Format

Share Document