Exact correlation functions of the BCS model in the canonical ensemble.
We evaluate correlation functions of the BCS model for a finite number of particles. The integrability of the Hamiltonian relates it with the Gaudin algebra G[sl(2)]. Therefore, a theorem that Sklyanin proved for the Gaudin model, can be applied. Several diagonal and off-diagonal correlators are calculated. The finite-size scaling behavior of the pairing correlation function is studied.
Amico
Luigi
L
Dipartimento di Metodologie Fisiche e Chimiche, Universitá di Catania, viale A. Doria 6, I-95125 Catania, Italy.
Osterloh
Andreas
A