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

Maireche, Abdelmadjid

doi:10.18052/www.scipress.com/IFSL.9.33

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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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Abstract:

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atomic quantum numbers (j=l±1/1, s=±1/2 and m) and we have also shown that, the old states are canceled and has been replaced by new degenerated 4(2l+1) sub-states.

Info:

Periodical:

International Frontier Science Letters (Volume 9)

Pages:

33-46

DOI:

https://doi.org/10.18052/www.scipress.com/IFSL.9.33

Citation:

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

Authors:

Abdelmadjid Maireche

Keywords:

Boopp’s Shift Method, Hadronic Atoms, Inverse Power Potential, Muonic Atoms, Noncommutative Phase, Noncommutative Space, Rydberg Atoms, Star Product

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Open Access

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Creative Commons Attribution 4.0 International License

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[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

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

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