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7. Superconductivity - University of Liverpool

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It has an energy 2E F − ∆, where ∆ is about 10 −4 E F . If two<br />

electrons start with energy E F , this means that ∆ is the<br />

binding energy. If ∆ is so much smaller, why do the electrons<br />

not escape.<br />

Physically, if a electron just escape, its wavefunction must<br />

change to that <strong>of</strong> a free particle, i.e. a sine function, with<br />

energy E F − ∆/2. However, this is just below E F , where the<br />

states are fully occupied. This is not allowed by the exclusion<br />

principle.<br />

<strong>Superconductivity</strong> 62

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