Деформовані рівняння Дірака і Шрьодінгера з модифікованим потенціалом Мі-типу для двоатомних молекул та фермі-частинок з урахуванням симетрій узагальненої квантової механіки

• Дата: 2022
• Автор: Maireche, A.
• Формат: Стаття
• Мова: English
• Опубліковано: Publishing house "Academperiodika" 2022
• Теми: рiвняння Дiрака; рiвняння Шрьодiнгера; потенцiал Мi-типу; некомутативна квантова механiка; зiрковий добуток; Dirac equation; Schr¨odinger equation; Mie-type potential; noncommutative quantum mechanics; star product
• Онлайн доступ: https://ujp.bitp.kiev.ua/index.php/ujp/article/view/2022422
• Назва журналу: Ukrainian Journal of Physics

In this study, the bound-state solutions of the deformed Dirac equation (DDE) have been determined with the improved Mie-type potential including an improved Coulomb-like tensor potential (IMTPICLP) under the condition of the spin or pseudospin symmetry in the extended relativistic quantum mechanics (ERQM) symmetries. The IMTPICLP model includes a combination of the terms 1/r3 and 1/r4 which coupled with the couplings (LΘ and L̃︀Θ) between the physical properties of the system with the topological deformations of space-space. In the framework of the parametric Bopp’s shift method and standard perturbation theory, the new relativistic and nonrelativistic energy eigenvalues for the improved Mietype potential have been found. The new obtained values appeared sensitive to the quantum numbers (j, k, l,̃︀ l, s, s,̃︀ m, m̃︀ ), the mixed potential depths (A, B, C, α), and noncommutativity parameters (Θ, σ, χ). The new energy spectra of the improved Kratzer–Fues potential within an improved Coulomb-like tensor interaction and the improved modified Kratzer potential within the Coulomb-like tensor interaction have been derived as particular cases of IMTPICLP. We recovered the usual relativistic and nonrelativistic results from the literature by applying the three simultaneous limits (Θ, σ, χ) → (0, 0, 0). One can notice that our results are in close agreement with the recent studies.