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Title | New Higher Excited Energy Levels of Rydberg States for Weakest Bound Potential Model Theory: Extended Quantum Mechanics |
Authors |
Abdelmadjid, Maireche
|
ORCID | |
Keywords |
Weakest bound potential Noncommutative space and phase Star product and Bopp’s shift method |
Type | Article |
Date of Issue | 2017 |
URI | http://essuir.sumdu.edu.ua/handle/123456789/65945 |
Publisher | Sumy State University |
License | |
Citation | Abdelmadjid, Maireche New Higher Excited Energy Levels of Rydberg States for Weakest Bound Potential Model Theory: Extended Quantum Mechanics [Текст] / Abdelmadjid, Maireche // Журнал нано- та електронної фізики. – 2017. – Т.9, № 4. – 04012. – DOI: 10.21272/jnep.9(4).04012. |
Abstract |
In present research paper, a Bopp’s shift method and standard perturbation theory are used to
find exact analytical solutions of the noncommutative 3-dimensional space phase (NC: 3D-RSP) for
modified time-independent Schrödinger equation of weakest bound electron potential model
(WBEPM) theory for neutral indium. We have obtained the explicit higher energy eigenvalues for
th n excited states. Furthermore, the obtained corrections of energies are depended on the discreet
atomic quantum numbers ( j = l ±1/ 2,( n* l*) = (n + d, l + d), SL S and m), in addition to the four
infinitesimal parameters (Θ, χ) and (θ, σ) which are induced by position-position and momentummomentum noncommutativity, respectively. We have also shown that, the total complete degeneracy of higher energy level of the modified (WBEPM) theory equal the new values 2n2 . |
Appears in Collections: |
Журнал нано- та електронної фізики (Journal of nano- and electronic physics) |
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jnep_V9_04012_7.pdf | 443,39 kB | Adobe PDF | 303693 |
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