The Euler-Lagrange equations corresponding to a Bardeen-Cooper-Schrieffer state that is an eigenstate of the number operator are derived and solved numerically for a δ interaction. The errors due to the nonconservation of particle number in the usual Bardeen-Cooper-Schrieffer theory are studied as a function of particle number, level density, and strength of the pairing interaction. A proof is given that for attractive pairing interactions the lowest energy solution corresponds always to real positive probability amplitudes v_ν, u_ν.
No takes yet. Share an insight, caveat, or question.
Dietrich et al. (1964) studied this question.
Synapse has enriched 3 closely related papers on similar clinical questions. Consider them for comparative context: