Virtues and potentialities of the Fourier transform method for electronic structure calculations of 1-D periodic systems at the Hartree-Fock level and beyond

2002 ◽  
Vol 90 (4-5) ◽  
pp. 1326-1333 ◽  
Author(s):  
Joseph Delhalle ◽  
Joseph G. Fripiat ◽  
Frank E. Harris
Keyword(s):  
Electronic Structure ◽  
Fourier Transform ◽  
Electronic Structure Calculations ◽  
Periodic Systems ◽  
Transform Method ◽  
Fourier Transform Method ◽  
Hartree Fock ◽  
The Fourier Transform ◽  
Structure Calculations

The interpretation of x-ray rocking curves by the Fourier transform method

1997 ◽  
Vol 30 (24) ◽  
pp. 3296-3300 ◽  
Author(s):  
M Li ◽  
M O Möller ◽  
H R Reß ◽  
W Faschinger ◽  
G Landwehr
Keyword(s):  
Fourier Transform ◽  
Transform Method ◽  
Fourier Transform Method ◽  
X Ray ◽  
The Fourier Transform

A finite temperature linear tetrahedron method for electronic structure calculations of periodic systems

2004 ◽  
Vol 121 (6) ◽  
pp. 2466 ◽  
Author(s):  
Oleg V. Yazyev ◽  
Edward N. Brothers ◽  
Konstantin N. Kudin ◽  
Gustavo E. Scuseria
Keyword(s):  
Electronic Structure ◽  
Finite Temperature ◽  
Electronic Structure Calculations ◽  
Periodic Systems ◽  
Structure Calculations

Poisson’s integral formula via heat kernels

Analysis ◽  
2019 ◽  
Vol 39 (2) ◽  
pp. 59-64
Author(s):  
Yoichi Miyazaki
Keyword(s):  
Fourier Transform ◽  
Heat Kernel ◽  
Half Space ◽  
Unbounded Domain ◽  
Harmonic Functions ◽  
Integral Formula ◽  
Heat Kernels ◽  
Transform Method ◽  
Fourier Transform Method ◽  
The Fourier Transform

Abstract We give another proof of Poisson’s integral formula for harmonic functions in a ball or a half space by using heat kernels with Green’s formula. We wish to emphasize that this method works well even for a half space, which is an unbounded domain; the functions involved are integrable, since the heat kernel decays rapidly. This method needs no trick such as the subordination identity, which is indispensable when applying the Fourier transform method for a half space.

Sign in / Sign up

Export Citation Format

Share Document