Exact solution of the BCS model

Interest continues to be evinced for rigorous mathematical derivations of results in the BCS model [1-7]. The present paper contains a further method of exact investigation of the BCS model; it is based on a special representation of this model's Hamiltonian. This representation enables one to transform the Hamiltonian into a second-order finitedifference operator which, in its turn, goes over in the thermodynamic limit into an elliptic differential operator that is readily amenable to investigation.