A Kammanee, C Böckmann (2008) Determination of partially known Sturm–Liouville potentials Applied Mathematics and Computation 204: 928-937 Abstract: It is well known that the determination of a general potential function employs two sets of information. One or both may be a sequence of eigenvalues. In this work a partially known potential and one finite sequence of eigenvalues are given in order to approximate a non-symmetric potential. We utilize not only the finite difference method but also Numerov’s method to approximate the necessary eigenvalues in each iteration step. A complete set of eigenvalues is the main information to approximate a potential. In this paper a method recovering a missing eigenvalue in the sequence is given.
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