Investigation of Solutions of Boundary Problems for the Differential Equation of High Order in a Coulomb Field

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Abstract


An algorithm to find eigenvalues and eigenfunctions of one boundary problem for the equation of high order (6th, 8th, 10th and 12th orders) with an arbitrary parameter .. at the higher derivatives in the Coulomb potential field is proposed. At .. ЃЁ 0 , some solutions of these equations coincide with the solution of Schroedinger equation. The investigations of the properties of eigenvalues and eigenfunctions with different values of .. have been conducted. The algorithm is implemented using the system of symbolic calculations MAPLE.

I V Amirkhanov

Joint Institute for Nuclear Research

Email: camir@jinr.ru
Лаборатория информационных технологий; Объединённый институт ядерных исследований; Joint Institute for Nuclear Research

D Z Muzafarov

Joint Institute for Nuclear Research

Email: muzafarov@jinr.ru
Лаборатория информационных технологий; Объединённый институт ядерных исследований; Joint Institute for Nuclear Research

N R Sarker

Joint Institute for Nuclear Research

Email: sarker@jinr.ru
Лаборатория информационных технологий; Объединённый институт ядерных исследований; Joint Institute for Nuclear Research

I Sarhadov

Joint Institute for Nuclear Research

Email: ibrohim@jinr.ru
Лаборатория информационных технологий; Объединённый институт ядерных исследований; Joint Institute for Nuclear Research

Z A Sharipov

Joint Institute for Nuclear Research

Email: zarif@jinr.ru
Лаборатория информационных технологий; Объединённый институт ядерных исследований; Joint Institute for Nuclear Research

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Copyright (c) 2010 Амирханов И.В., Музафаров Д.З., Саркар Н.Р., Сархадов И., Шарипов З.А.

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