Релятивістський розгляд безспінового рівняння Cолпітера з модифікованим потенціалом Хіллерааса

We have solved the Spinless Salpeter Equation (SSE) with a modified Hylleraas potential within the Nikiforov–Uvarov method. The energy eigenvalues and the corresponding wave functions for this system expressed in terms of the Jacobi polynomial are obtained. With the help of an approximation scheme,...

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Збережено в:
Бібліографічні деталі
Дата:2019
Автори: Antia, A. D., Okon, I. B., Umoren, E. B., Isonguyo, C. N.
Формат: Стаття
Мова:English
Опубліковано: Publishing house "Academperiodika" 2019
Теми:
Онлайн доступ:https://ujp.bitp.kiev.ua/index.php/ujp/article/view/2018261
Теги: Додати тег
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Назва журналу:Ukrainian Journal of Physics

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Ukrainian Journal of Physics
Опис
Резюме:We have solved the Spinless Salpeter Equation (SSE) with a modified Hylleraas potential within the Nikiforov–Uvarov method. The energy eigenvalues and the corresponding wave functions for this system expressed in terms of the Jacobi polynomial are obtained. With the help of an approximation scheme, the potential barrier has been evaluated. The results obtained can be applied in nuclear physics, chemical physics, atomic physics, molecular chemistry, and other related areas, for example, can be used to study the binding energy and interaction of some diatomic molecules. By adjusting some potential parameters, our potential reduces to the Rosen–Morse and Hulthen potentials. We have present also the numerical data on the energy spectra for this system.