A study of a nonrelativistic energy spectrum produced with an isotropic potential in the framework of extended quantum mechanics symmetries: the case of inversely quadratic Yukawa and inversely quadratic Hellmann potential
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Date
2025
Journal Title
Journal ISSN
Volume Title
Publisher
Université Mohamed Boudiaf - M’sila
Abstract
In our work on this master memory, in theoretical physics (2024/2025): A
study of a nonrelativistic energy spectrum produced with an isotropic potential in the framework of extended quantum mechanics symmetries: the case of
inversely quadratic Yukawa and inversely quadratic Hellmann potential. We
have studied the Schrˆdinger equation with the inversely quadratic Yukawa and
inversely quadratic Hellmann potential in noncommutative three-dimensional
spaces, by applying the Boopís Shift method to the Örst order of the parameters , in addition to the standard perturbation theory, to obtain the spectrum
of energy of the system, which is changing radically, and replaced by degenerate
new states depending on the discrete atomic quantum numbers (j; n; l; s). This
result was produced by the spin-orbit interaction.
Description
Keywords
Schrˆdinger equation, inversely quadratic Yukawa and inversely quadratic Hellmann potential, noncommutative quantum mechanics, star product, Boopís shift method.