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Title | New Non-relativistic Bound States Solutions for Modified Kratzer Potential in One-electron Atoms |
Authors |
Maireche, A.
|
ORCID | |
Keywords |
Kratzer 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/123456789/65881 |
Publisher | Sumy State University |
License | Copyright not evaluated |
Citation | Maireche, A. New Non-relativistic Bound States Solutions for Modified Kratzer Potential in One-electron Atoms [Текст] / A. Maireche // Журнал нано- та електронної фізики. - 2017. - Т.9, № 3. - 03031. - DOI: 10.21272/jnep.9(3).03031. |
Abstract |
In this study, three-dimensional modified time-independent Schrödinger equation of modified Kratzer
potential was solved using Bopp’s shift method instead to apply star product, in the framework of both
noncommutativity three dimensional real space and phase (NC: 3D-RSP). We have obtained the explicit
energy eigenvalues for ground and first excited states for interactions in one-electron atoms. Furthermore,
the obtained corrections of energies are depended on infinitesimal parameters ( ʘ,χ ) and ( θ, σ )
which are induced by position-position and momentum-momentum noncommutativity, respectively, in addition
to the discreet atomic quantum numbers (j = l ± 1/2, s = 1/2, l and m). We have also shown that, the usual
states in ordinary three dimensional spaces for ordinary Kratzer potential are canceled and have been replaced by new degenerated 2(2l + 1) sub-states in the extended new quantum mechanics. |
Appears in Collections: |
Журнал нано- та електронної фізики (Journal of nano- and electronic physics) |
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