Dynamics of ultracold atomic gases and atomic nuclei within DFT
Dynamics of ultracold atomic gases and atomic nuclei within DFT
Dynamics of ultracold atomic gases and atomic nuclei within DFT
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Density Functional Theory (<strong>DFT</strong>)<br />
Hohenberg-Kohn theorem:<br />
Egs<br />
[ n( r)]<br />
particle density<br />
Local Density Approximation:<br />
<br />
<br />
2m<br />
<br />
( ) [ ( )] ( ) <br />
<br />
2<br />
3<br />
Egs<br />
d r r <br />
n r n r<br />
<br />
N<br />
N<br />
2 2<br />
<br />
i<br />
<br />
i<br />
i1 i1<br />
<br />
n( r) | ( r) | ( r) | ( r) |<br />
2<br />
<br />
<br />
i( r) U( r) <br />
i( r) <br />
i i( r)<br />
2m<br />
Kohn-Sham equations
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