Investigation of Solutions of Boundary Problems for the Quasipotential Equation Using the Shift Operator

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Abstract

The quasipotential equations are widely applied to the relativistic description of a system oftwo particles, for example, a quark and an antiquark. In the work, the solutions of boundary problems for the quasipotential equation with the Coulomb potential at various values of parameter .. are investigated with use of the shift operator. It is established that at .. > 0 there is a solution which aspires to the Schr.odinger equation solution. Besides, the so-called frontier layer solutions and transition of one type of the solution into another are found out.Investigations are carried out using the system of symbolical evaluations MAPLE.

About the authors

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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