BCS Theory in ( 2 × 2 ) Matrix Way

Debnarayan Jana

Dept. of Physics, University of Calcutta

In this paper, we present a very simple way of solving the Nobel prize winning work of super- conductivity due to Berdeen-Cooper-Schrieffer (BCS) via ( 2 × 2 ) matrix formulation. This alternative, intuitive original formulation of the approach is due to P. W. Anderson. The algebra of basic Pauli spin matrix are used to get the energy gap equation and the average number particles in the ground state. This formulation is used to obtain the finite temperature energy gap equation and universal signature of BCS type of superconductor.