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The main purpose of this paper is to prove, by using a simple formal procedure, the completeness of the set of eigenstates of a non-Hermitian operator whose resolvent satisfies certain physically plausible analytic properties. It is also shown how the obtained completeness relation can be related to the scattering solutions of the eigenvalue equation with extension to the multichannel case. All proofs are heuristic only.
Fonda et al. (Thu,) studied this question.
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