Non-relativistic particle under the Influence of Aharonov-Bohm Flux Field Subject to Physical Potentials and the Nikiforov-Uvarov Method

الموضوعات : Journal of Theoretical and Applied Physics

Faizuddin Ahmed ¹ , Kayser Ahmed ² , Akheruzzaman Ahmed ³ , Ariful Islam ⁴ , Bikash Barmab ⁵

1 - Department of Physics, University of Science & Technology Meghalaya, Ri- Bhoi, Meghalaya, India
2 - Department of Physics, University of Science & Technology Meghalaya, Ri- Bhoi, Meghalaya, India
3 - Department of Physics, University of Science & Technology Meghalaya, Ri- Bhoi, Meghalaya, India
4 - Department of Physics, University of Science & Technology Meghalaya, Ri- Bhoi, Meghalaya, India
5 - Department of Physics, University of Science & Technology Meghalaya, Ri- Bhoi, Meghalaya, India

تاريخ الإرسال : 08 الخميس , ذو الحجة, 1443 تاريخ التأكيد : 28 الأربعاء , ذو الحجة, 1443 تاريخ الإصدار : 07 الخميس , جمادى الأولى, 1444

الکلمات المفتاحية: solutions of wave equation: bound-states, Schrodinger wave equation, Nikiforov-Uvarov method, potential, geometric quantum phase,

ملخص المقالة :

In this work, the non-relativistic wave equation via the Schrödinger wave equation under the influence of the Aharonov-Bohm flux field Subject to physical potentials of various kinds is investigated. These potentials are modified Coulomb potential, modified harmonic oscillator potential, the Kratzer-Feus potential, and the Mie-type potential which have wide applications in different branches of physics and chemistry. We solve the Schrodinger wave equation using the Nikiforov-Uvarov (NU) method and obtain the energy profiles and the wave function of the non-relativistic particle, and analyze the effects of potential and the quantum flux on them. We show that each non-relativistic energy level gets modified in comparison to the known results obtained in the literature.