The nonrelativistic study of the energy spectrum producing from a central potential in the extended quantum mechanics symmetries: the case of generalized inverse quadratic Yukawa potential as a model
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Date
2024-07
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Université Mohamed Boudiaf - M’Sila
Abstract
In our work on this master memory, in theoretical physics (2023/2024): The non-relativistic study of
the energy spectrum producing from a central potential in the extended quantum mechanics
symmetries: the case of generalized inverse quadratic Yukawa potential as a model. We have studied
the Schrödinger equation with the generalized inverse quadratic Yukawa potential in non-commutative
three-dimensional spaces and phases, by applying Boop's Shift method to the first order of the
parameters (Θ,θ) , in addition to the standard perturbation the 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) and the potential parameterize (A′,C′,B′), and the
screening parameter α.
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Keywords
Schrödinger equation, generalized inverse quadratic Yukawa potential, non-commutative phase-space, star product, Boop's shift method.