Thenonrelativisticstudyoftheenergy spectrumproducingfromacentral potentialintheextendedquantum mechanicssymmetries:thecaseof generalizedinversequadraticYukawa potentialasamodel
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Date
2024-06
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Publisher
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.