Orthogonal Polynomials in Analytical Method of Solving Differential Equations Describing Dynamics of Multilevel Systems
Classical Analysis and ODEs
2007-05-23 v1 Dynamical Systems
Abstract
An effective method to obtain exact analytical solutions of equations describing the coherent dynamics of multilevel systems is presented. The method is based on the usage of orthogonal polynomials, integral transforms and their discrete analogues. All the obtained solutions are expressed by way of special or elementary functions.
Keywords
Cite
@article{arxiv.math/0101105,
title = {Orthogonal Polynomials in Analytical Method of Solving Differential Equations Describing Dynamics of Multilevel Systems},
author = {V. A. Savva and V. I. Zelenkov and A. S. Mazurenko},
journal= {arXiv preprint arXiv:math/0101105},
year = {2007}
}
Comments
8 pages, latex, no figures, see also http://zelenkov.isir.minsk.by/physmath and http://www.geocities.com/amazurenko/papers.html