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

I V Amirkhanov; Амирханов Илькизар Валиевич; D Z Muzafarov; Музафаров Дилшод Зикриёходжаевич; N R Sarker; Саркар Нил Ратан; I Sarhadov; Сархадов Иброхим; Z A Sharipov; Шарипов Зариф Алимжонович

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

Authors: Amirkhanov IV¹, Muzafarov DZ¹, Sarker NR¹, Sarhadov I¹, Sharipov ZA¹
Affiliations:
1. Joint Institute for Nuclear Research
Issue: No 4 (2011)
Pages: 74-82
Section: Articles
URL: https://journals.rudn.ru/miph/article/view/8434

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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.

Keywords

quasipotential equation, boundary problem, shift operator, symbolic computing

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Vol 31, No 4 (2023)

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

Full Text

Abstract

Keywords

About the authors

I V Amirkhanov

D Z Muzafarov

N R Sarker

I Sarhadov

Z A Sharipov

References

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