Linearization of the Pairing Hamiltonian

Abstract

The pairing-Hamiltonian eigenstates are used to test linearization procedures for the equations of motion of pair-creation operators. It is found that standard linearization techniques are inadequate and additional terms are suggested by a detailed examination of pairing wave functions. The new linearization procedure is applied with considerable success to the pairing vibration problem. Possible extension of the results to more general two-body interactions is discussed.