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

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

2001-01-11

arxiv.org/abs/math/0101105v1

Integral Transforms and Special Functions, 2000, Vol. 10, No. 3--4, pp. 299-308

Mathematics

Classical Analysis and ODEs

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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