study of a nonrelativistic energy spectrum produced of an isotropic potential in the framework of extended quantum mechanics symmetries: the case of Varshni potential
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Date
2023-06-20
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UNIVERSITE MOHAMED BOUDIAF - M’SILA
Abstract
In our work on this master memory, in theoretical physics (2022/2023): A study of a non-relativistic energy spectrum produced with an isotropic potential in the framework of 3-dimensional non-relativistic quantum mechanics symmetries in the context of deformed Schrödinger equation: the case of Varshni potential. We have studied the deformed Schrödinger equation with the Varshni potential in non-commutative three-dimensional spaces and phases by applying Boop's Shift method to the first order of the parameters (𝛩,𝜃̄), in addition to the standard perturbation theory, to obtain the modified spectrum of energy of this system, which is changing radically, and replaced by new degenerate new states depending on the discrete atomic quantum numbers (𝑗,𝑛,𝑙,𝑠), the potential strengths (a,b), and the screening parameter 𝛼.
Keywords: Schrödinger equation, Varshni potential, non-commutative
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Keywords
Schrödinger equation, Varshni potential, non-commutative quantum mechanics, star product, Boop's shift method.