Green's function for the time-dependent scattering problem in the fractional quantum mechanics

2011 ◽  
Vol 52 (4) ◽  
pp. 042103 ◽  
Author(s):  
Jianping Dong
Keyword(s):  
Quantum Mechanics ◽  
Green’S Function ◽  
Green's Function ◽  
Scattering Problem ◽  
Time Dependent ◽  
Fractional Quantum

Theory of Electron Diffraction by Crystals

1967 ◽  
Vol 22 (4) ◽  
pp. 422-431 ◽  
Author(s):  
Kyozaburo Kambe
Keyword(s):  
Integral Equation ◽  
Electron Diffraction ◽  
General Theory ◽  
Green’S Function ◽  
Green's Function ◽  
Scattering Problem ◽  
Three Dimensional ◽  
Two Dimensions ◽  
The Third ◽  
Third Dimension

A general theory of electron diffraction by crystals is developed. The crystals are assumed to be infinitely extended in two dimensions and finite in the third dimension. For the scattering problem by this structure two-dimensionally expanded forms of GREEN’S function and integral equation are at first derived, and combined in single three-dimensional forms. EWALD’S method is applied to sum up the series for GREEN’S function.

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