Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4627682 | Applied Mathematics and Computation | 2014 | 5 Pages |
Abstract
We present a systematic method for the construction of a discrete state embedded in the continuum part of the spectrum of the differential equation -y″+f(x)y=λy-y″+f(x)y=λy. Starting from an arbitrary preselected eigenvalue λ0λ0, we generate a family of functions yielding identical eigenspectrum as f(x ). The nature of the corresponding eigenfunctions remains unaltered, except at λ0λ0, for which we obtain a discrete eigenfunction. The procedure is exemplified using the simplest case of f(x) = 0.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
V. Milanović, N. Cakić, J. Radovanović,