- #1
Petar Mali
- 290
- 0
[tex]I(\vec{n}-\vec{m})=\frac{1}{N}\sum_{\vec{k}}I(\vec{k})e^{i\vec{k}(\vec{n}-\vec{m})}[/tex]
[tex]I(\vec{n}-\vec{m})=\frac{1}{\sqrt{N}}\sum_{\vec{k}}I(\vec{k})e^{i\vec{k}(\vec{n}-\vec{m})}[/tex]
In which cases is better to use first and in which second relation? [tex]N[/tex] is number of knottes of lattice.
And when I can say [tex]I(\vec{n}-\vec{m})=I(|\vec{n}-\vec{m}|)[/tex]?
And is it a way to show
[tex]\sum_{\vec{k}}I(\vec{k})=\sum_{-\vec{k}}I(\vec{k})[/tex]?
[tex]I(\vec{n}-\vec{m})=\frac{1}{\sqrt{N}}\sum_{\vec{k}}I(\vec{k})e^{i\vec{k}(\vec{n}-\vec{m})}[/tex]
In which cases is better to use first and in which second relation? [tex]N[/tex] is number of knottes of lattice.
And when I can say [tex]I(\vec{n}-\vec{m})=I(|\vec{n}-\vec{m}|)[/tex]?
And is it a way to show
[tex]\sum_{\vec{k}}I(\vec{k})=\sum_{-\vec{k}}I(\vec{k})[/tex]?