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> right hand side <strong>of</strong> <strong>the</strong> Schrodinger equation<br />
aε(ε + ∆) = −B<br />
is a constant. Let this be C. So<br />
or<br />
� �ωD<br />
0<br />
aε(ε + ∆) = C,<br />
aε = C<br />
ε + ∆ .<br />
a ε ′dε ′ .<br />
Substituting this back into <strong>the</strong> Schrodinger equation, we get<br />
Integrating, we find<br />
1 = −B<br />
� �ωD<br />
0<br />
dε ′<br />
ε ′ + ∆ .<br />
∆ = �ωD exp(−1/B) = �ωD exp(− 2πkF ).<br />
melV0<br />
Superconductivity 45
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