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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Next, we approximate � a k ′V kk ′ to an integral. To do this, we<br />
need <strong>the</strong> density <strong>of</strong> states. We know that<br />
k = nπ/R.<br />
So <strong>the</strong>re is one state for every interval <strong>of</strong> π/R in k, or <strong>the</strong><br />
density <strong>of</strong> state is<br />
g(k) = R/π.<br />
We now come to an important point. We are going to impose<br />
<strong>the</strong> condition that k must be above <strong>the</strong> Fermi level. We shall<br />
intepret this condition after we have found <strong>the</strong> bound state.<br />
Recall<br />
ε = �2 k 2<br />
me<br />
Superconductivity 41<br />
− E F .
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