次へ: Acknowledgement
上へ: sg8_6
戻る: phase between the neibouring
In this section, we consider the dual basis representation.
Eigen value and eigen state safisfy the equation,
is constructed using atomic basis set (LCAO),
The eigen energy is calculated by solving generalized eigenvalue problem,
with the normalization condition
.
The Green function is defined as
Here we define the dual basis set in the atomic basis set,
where
.
Then
The trace of is expressed as
The Green function is
Then the charge density is
|
|
|
(280) |
|
|
|
(281) |
|
|
|
(282) |
|
|
|
(283) |
|
|
|
(284) |
Consider the simple case,
because of the normalization of
.
The left hand side of
can be written as
The total band energy can be calculated similarly
次へ: Acknowledgement
上へ: sg8_6
戻る: phase between the neibouring
kino
平成18年4月17日