Параметричний узагальнений дробовий метод Нікіфорова-Уварова та його застосування

doi:10.26565/2312-4334-2023-3-22

М. Абу-Шаді Кафедра математики та комп’ютерних наук, факультет природничих наук, Університет Менуфія, Єгипет https://orcid.org/0000-0001-7077-7884
Х.М. Фатх-Аллах Вищий інженерно-технологічний інститут, Менуфія, Єгипет

DOI: https://doi.org/10.26565/2312-4334-2023-3-22

Ключові слова: нерелятивістські моделі, узагальнена дробова похідна, молекулярна фізика, адронна фізика

Анотація

За допомогою узагальненої дробової похідної введено параметричний узагальнений дробовий метод Нікіфорова-Уварова (НУ). Параметричне узагальнене диференціальне рівняння другого порядку точно розв’язується у дробовій формі. Отримані результати застосовано до розширеного потенціалу Корнелла, песудогармонійного потенціалу, потенціалу Мі, потенціалу Кратцера-Фюса, потенціалу гармонічного осцилятора, потенціалу Морзе, потенціалу Вудса-Саксона, потенціалу Хюлтена, деформованого потенціалу Розена-Морса. і потенціалу Пошля-Теллера, які відіграють важливу роль у галузях молекулярної та атомної фізики. Особливі класичні випадки отримані з дробових випадків, які узгоджуються з останніми роботами.

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