Orthogonal Polynomials in Analytical Method of Solving Differential Equations Describing Dynamics of Multilevel Systems

2001/01/11 by V. A. Savva, V. I. Zelenkov, A. S. Mazurenko
Mathematics · #math.CA #math.DS #msc:33C48 #msc:34C25

paper · pdf

published as Integral Transforms and Special Functions, 2000, Vol. 10, No. 3--4, pp. 299-308 · 8 pages, latex, no figures, see also http://zelenkov.isir.minsk.by/physmath and http://www.geocities.com/amazurenko/papers.html

arxiv created 2001/01/11 · arxiv updated 2009/11/30

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.

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