Сумісне рівняння Шредінгера з псевдогармонічним потенціалом та його термодинамічні властивості

doi:10.26565/2312-4334-2025-2-14

Дерар Алтараунех Кафедра прикладної фiзики, Технiчний унiверситет Тафiли, Тафiла, Йорданiя https://orcid.org/0000-0002-7796-9181
Екаб M. Рабей Кафедра фiзики, Факультет природничих наук, Унiверситет Аль-аль-Байт, Мафрак, Йорданiя https://orcid.org/0000-0003-2777-8851

DOI: https://doi.org/10.26565/2312-4334-2025-2-14

Ключові слова: метод Нiкiфорова-Уварова, псевдогармонiчний потенцiал, термодинамiчнi властивостi, конформна функцiя розподiлу

Анотація

У цiй роботi метод Нiкiфорова-Уварова (NU) використовується для отримання точного розв’язку вiдповiдного радiального рiвняння Шредiнгера (SE) для псевдогармонiчного потенцiалу. Ми виводимо як енергетичнi стани, так i вiдповiднi хвильовi функцiї, а результати порiвнюємо з результатами, описаними в iснуючiй лiтературi, для випадку традицiйної похiдної (α=1). Крiм того, отриманi енергетичнi стани використовуються для розрахунку конформної функцiї розподiлу в класичнiй границi.
Термодинамiчнi властивостi, включаючи конформну вiльну енергiю Гельмгольца, конформну середню енергiю, конформну ентропiю та конформну питому теплоємнiсть, обчислюються та аналiзуються для молекул N₂ та CO.

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