R. de la Madrid Two analytic continuations of the Lippmann-Schwinger eigenfunctions (64K, Gzipped tar file) ABSTRACT. Gamow vectors should be related with the analytic continuation of the Lippmann-Schwinger eigenfunctions to the resonance energy. However, the analytic continuation of the Lippmann-Schwinger eigenfunctions to the second sheet is not unique. In this paper, we address this non-uniqueness by constructing and comparing two possible analytic continuations.