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

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 Differential Equation of High Order in a Coulomb Field

Authors: Amirkhanov IV¹, Muzafarov DZ¹, Sarker NR¹, Sarhadov I¹, Sharipov ZA¹
Affiliations:
1. Joint Institute for Nuclear Research
Issue: No 3.2 (2010)
Pages: 14-18
Section: Articles
URL: https://journals.rudn.ru/miph/article/view/8498

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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.

Keywords

quasipotential equation, boundary problem, symbolic computing, singular-perturbated equations

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Vol 31, No 4 (2023)

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

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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