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Chapter 10: Superconductivity

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Chapter 10: SuperconductivityBardeen, Cooper, & SchriefferApril 26, 2017Contents1 Evidence of a Phase Transition . . . . . . . . . . . . . . . . . . . . . Meissner Effect . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .42The London Equations83 Cooper The Retarded Pairing Potential . . . . . . . . . . . . . . . . . . . . . Scattering of Cooper Pairs . . . . . . . . . . . . . . . . . . . . . . . . The Cooper Instability of the Fermi Sea . . . . . . . . . . . . . . . .154 The BCS Ground The Energy of the BCS Ground State . . . . . . . . . . . . . . . . . . The BCS Gap . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .235Consequences of BCS and Specific Heat.

London and London derived a phenomenological theory of su-perconductivity which correctly describes the Meissner e ect. They assumed that the electrons move in a frictionless state, so that mv_ = eE (7) or, since @j @t = en sv_, @j s @t = e2n s m E (First London Eqn.) (8) 8

  States, Theory

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