Orthogonal Polynomials in Analytical Method of Solving Differential Equations Describing Dynamics of Multilevel Systems
arXiv:math/0101105
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.
8 pages, latex, no figures, see also http://zelenkov.isir.minsk.by/physmath and http://www.geocities.com/amazurenko/papers.html