Applications of orthogonal polynomials to solving the Schrödinger equation

the article reveals possibilities of using hermite polynomials and related hermite weber functions to solve a wide range of problems in mathematical physicsN the obtained properties of the considered functions allow for constructing solutions for problems of wave dynamics the solution of the schröd...

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Bibliographic Details
Published in:Reports on mathematical physics Vol. 89, № 3. P. 307-317
Main Author: Poteryaeva, Valentina A.
Other Authors: Bubenchikov, Mikhail A.
Format: Article
Language:English
Subjects:
Online Access:http://vital.lib.tsu.ru/vital/access/manager/Repository/koha:000899966
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Summary:the article reveals possibilities of using hermite polynomials and related hermite weber functions to solve a wide range of problems in mathematical physicsN the obtained properties of the considered functions allow for constructing solutions for problems of wave dynamics the solution of the schrödinger integral equation constructed on their basis is highly accurate since in this case waves of matter can freely pass along the entire real axisL and there is no need for matching solutions on the finite interval.
Bibliography:Библиогр.: 44 назв.
ISSN:0034-4877