Abstract
Coupled-cluster equations are non-Hermitian and nonlinear. Hence neither the existence of their solutions nor the reality of the corresponding eigenvalues is guaranteed. By the method of characteristic equations, it can be shown that in physically relevant cases coupled-cluster equations have the same number of solutions as corresponding configuration interaction equations. Additionally, one finds that eigenvalues can be made real, if the Hamiltonian is not velocity dependent and if the cluster interaction is not too large.
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