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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To change to energy variable, rewrite as δk > ω D/ve. Using<br />
we find<br />
δε = 2�2 kδk<br />
me<br />
ε = �2 k 2<br />
me<br />
− E F ,<br />
= 2�pδk<br />
me<br />
Multiplying δk > ω D/ve by �2ve, we obtain<br />
δε > 2�ω D.<br />
So if ε − ε ′ is more than 2�ω D, V εε ′ is zero.<br />
<strong>The</strong> Schrodinger equations is<br />
= 2�veδk.<br />
R<br />
2 aε(ε + ∆) = −g(0) aε ′Vεε ′dε ′ .<br />
If ε is zero, Vεε ′ goes to zero when ε ′ > 2�ωD. So we may take<br />
<strong>the</strong> upper limit to be 2�ωD. Superconductivity 43<br />
�
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