Abstract | ||
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Given an operator L acting on a function space, the J-matrix method consists of finding a sequence yn of functions such that the operator L acts tridiagonally on yn. Once such a tridiagonalization is obtained, a number of characteristics of the operator L can be obtained. In particular, information on eigenvalues and eigenfunctions, bound states, spectral decompositions, etc. can be obtained in this way. We discuss the general set-up and next two examples in detail; the Schrödinger operator with Morse potential and the Lamé equation. |
Year | DOI | Venue |
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2011 | 10.1016/j.aam.2010.10.005 | Advances in Applied Mathematics |
Keywords | DocType | Volume |
33C45,42C05,34L40 | Journal | 46 |
Issue | ISSN | Citations |
1 | 0196-8858 | 1 |
PageRank | References | Authors |
0.41 | 0 | 2 |
Name | Order | Citations | PageRank |
---|---|---|---|
Mourad E. H. Ismail | 1 | 75 | 25.95 |
Erik Koelink | 2 | 5 | 3.08 |