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A New Nonrelativistic Investigation for the Lowest Excitations States of Interactions in One-Electron Atoms, Muonic, Hadronic and Rydberg Atoms with Modified Inverse Power Potential

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A new theoretical analytical investigation for the exact solvability of non-relativistic quantum spectrum systems at low energy for modified inverse power potential (m.i.p.) is discussed by means Boopp’s shift method instead to solving deformed Schrödinger equation with star product, in the framework of both noncommutativite two dimensional real space and phase (NC: 2D-RSP), the exact corrections for lowest excitations are found straightforwardly for interactions in one-electron atoms, muonic, hadronic and Rydberg atoms by means of the standard perturbation theory. Furthermore, the obtained corrections of energies are depended on the four infinitesimals parameters (θ,χ) and (θ,σ), which are induced by position-position and momentum-momentum noncommutativity, in addition to the discreet atomic quantum numbers (j=l±1/1, s=±1/2 and m) and we have also shown that, the old states are canceled and has been replaced by new degenerated 4(2l+1) sub-states.


International Frontier Science Letters (Volume 9)
A. Maireche, "A New Nonrelativistic Investigation for the Lowest Excitations States of Interactions in One-Electron Atoms, Muonic, Hadronic and Rydberg Atoms with Modified Inverse Power Potential", International Frontier Science Letters, Vol. 9, pp. 33-46, 2016
Online since:
August 2016

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Cited By:

[1] A. Maireche, "Effects of Two-Dimensional Noncommutative Theories on Bound States Schrödinger Diatomic Molecules under New Modified Kratzer-Type Interactions", International Letters of Chemistry, Physics and Astronomy, Vol. 76, p. 1, 2017


[2] A. Maireche, "A Novel Exactly Theoretical Solvable of Bound States of the Dirac-Kratzer-Fues Problem with Spin and Pseudo-Spin Symmetry", International Frontier Science Letters, Vol. 10, p. 8, 2016


[3] A. Maireche, "Investigations on the Relativistic Interactions in One-Electron Atoms with Modified Anharmonic Oscillator", Journal of Nanomedicine Research, Vol. 4, 2016


[4] O. Hegacy, "Model for End-Stage Liver Disease (Meld) Score, As a Prognostic Factor for Cirrhotic Patients, Undergoing Hepatectomy for Hepatocellular Carcinoma", Gastroenterology & Hepatology : Open Access, Vol. 2, 2015


[5] A. Maireche, "Nonrelativistic treatment of Hydrogen-like and neutral atoms subjected to the generalized perturbed Yukawa potential with centrifugal barrier in the symmetries of noncommutative Quantum mechanics", International Journal of Geometric Methods in Modern Physics, 2020


[6] A. Maireche, "Modified Unequal Mixture Scalar Vector Hulthén–Yukawa Potentials Model as a Quark–Antiquark Interaction and Neutral Atoms via Relativistic Treatment Using the Improved Approximation of the Centrifugal Term and Bopp’s Shift Method", Few-Body Systems, Vol. 61, 2020


[7] A. Maireche, "A New Approach to the Approximate Analytic Solution of the Three-Dimensional Schrӧdinger Equation for Hydrogenic and Neutral Atoms in the Generalized Hellmann Potential Model", Ukrainian Journal of Physics, Vol. 65, p. 987, 2020


[8] A. Maireche, "Bound-state solutions of the modified Klein–Gordon and Schrödinger equations for arbitrary l-state with the modified Morse potential in the symmetries of noncommutative quantum mechanics", Journal of Physical Studies, Vol. 25, 2021

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