The Nature of the Cooper Pair - University of Liverpool
The Nature of the Cooper Pair - University of Liverpool
The Nature of the Cooper Pair - University of Liverpool
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<strong>The</strong>refore<br />
and<br />
sin(kR) = 0,<br />
k = nπ<br />
R .<br />
We shall need to make use <strong>of</strong> this later.<br />
Rearrange <strong>the</strong> Schrodinger’s equation:<br />
Substitute<br />
and get<br />
�<br />
k ′<br />
�<br />
�2k ′2<br />
ak ′<br />
me<br />
− �2<br />
me<br />
d2Ψ − EΨ = −V (r)Ψ.<br />
dr2 Ψ(r) = �<br />
ak ′ sin(k ′ r)<br />
− E<br />
Superconductivity 36<br />
�<br />
k ′<br />
sin(k ′ r) = −V (r) �<br />
ak ′ sin(k ′ r).<br />
k ′
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