Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4652837 | Electronic Notes in Discrete Mathematics | 2007 | 8 Pages |
Abstract
In this work we study the different type of regular boundary value problems on a path associated with the Schrödinger operator. In particular, we obtain the Green function for each problem and we emphasize the case of Sturm-Liouville boundary conditions. In any case, the Green function is given in terms of second kind Chebyshev polynomials since they verify a recurrence law similar to the one verified by the Schödinger operator on a path.
Related Topics
Physical Sciences and Engineering
Mathematics
Discrete Mathematics and Combinatorics