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Global Journal of Pure and Applied Sciences

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On the Bardeen-Cooper-Schrieffer(BCS) Hamiltonian

MI Umo

Abstract


We present a detailed diagonalization calculation of the Bardeen-Cooper-Schrieffer (BCS) Hamiltonian via the unitary transformation method which allows for the Bogolyubov-Valatin transformation to be arrived at naturally. The energy gap equation is derived and solved, and averages of some representative thermodynamic quantities are obtained.

KEYWORDS: Hamiltonian, unitary matrix, superconductivity, interaction, ground state.




http://dx.doi.org/10.4314/gjpas.v19i1.7
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