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

Mathematics – Classical Analysis and ODEs

Scientific paper

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8 pages, latex, no figures, see also http://zelenkov.isir.minsk.by/physmath and http://www.geocities.com/amazurenko/papers.h

Scientific paper

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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