On the Bardeen-Cooper-Schrieffer(BCS) Hamiltonian

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.