Green’s Function of the Dirac Equation with Complex Energy and Non-singular Central Nuclear Potential

2010 ◽  
Author(s):  
A. A. Svinarenko ◽  
A. V. Glushkov ◽  
A. V. Loboda ◽  
D. E. Sukharev ◽  
Yu. V. Dubrovskaya ◽  
...  
Keyword(s):  
Dirac Equation ◽  
Green’S Function ◽  
Green's Function ◽  
Nuclear Potential ◽  
Complex Energy

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.

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