A New Approach to the Non Relativistic Schrödinger Equation for an Energy-Depended Potential &lt;i&gt;V(r,E&lt;sub&gt;n,l&lt;/sub&gt;)=V&lt;sub&gt;0&lt;/sub&gt;(1+ηE&lt;sub&gt;n,l&lt;/sub&gt;)r&lt;sup&gt;2&lt;/sup&gt;&lt;/i&gt; in both Noncommutative Three Dimensional Spaces and Phases

Maireche, Abdelmadjid

doi:10.18052/www.scipress.com/ilcpa.60.11

Cited by 15 publications

(30 citation statements)

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“…Formalism of Boopp's shift Based on the previous works [31][32][33][34][35][36][37][38][39][40][41][42][43], we give a brief review to the fundamental principles of modified Schrödinger equation in (NC-3D: RSP), to achieve this goal we apply the important 4-steps on the ordinary (SE):…”

Section: Noncommutative Phase-space Hamiltonian For (Mcmph)mentioning

confidence: 99%

“…On based to our references [37][38][39][40], we can write the two operators 2 r and in noncommutative three dimensional spaces and phases as follows: Which allow us to writing the modified three dimensional studied potential (MCMpH) in (NC-3D: RSP) as follows:…”

Section: …(16)mentioning

confidence: 99%

“…respectively [31][32][33][34][35][36][37][38][39][40][41][42][43]. Then, one can form a diagonal matrix of order ( ) Now, the aim of this subsection is to obtain the modifications to the energy levels for ground states …”

Section: (21)mentioning

confidence: 99%

“…As it's mentioned in our previous works [31][32][33][34][35][36][37][38][39][40][41][42][43], the atomic quantum number m can be taken ( It is important to notice that the appearance of the polarization states of a fermionic particle indicates the validity of the results in the field of high energy where Dirac equation is applied, which allowing to the validity to results of present search on the Plank's and Nano scales level. If we make the limits ( ) ( )…”

Section: And Andmentioning

confidence: 99%

“…..…(1) It is important to notice, that the Boopp's shift method will be applying in this paper instead of solving the (NC-3D: RSP) with star product, the Schrödinger equation will be treated by using directly usual commutators on quantum mechanics, in addition to the two commutators [29][30][31][32][33][34][35][36][37][38][39][40][41][42][43]:…”

Section: Introductionmentioning

confidence: 99%

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New Bound State Energies for Spherical Quantum Dots in Presence of a Confining Potential Model at Nano and Plank’s Scales

Maireche¹

2016

NanoWorld J

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In present work, the exact analytical bound-state solutions of modified Schrödinger equation with Modified central potential consisting of a Cornellmodified plus pseudoharmonic harmonic potential (MCMpH) have been presented using both Boopp's shift method and standard perturbation theory, we have also constructed the corresponding noncommutative Hamiltonian which containing two new terms, the first one is modified Zeeman effect and the second is new spin-orbital interaction. The theoretical results show that the automatically appearance for both spin-orbital interaction and modified Zeeman Effect leads to the degenerate to energy levels to ( ) 1 2 2 + l sub states.

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Section: Noncommutative Phase-space Hamiltonian For (Mcmph)mentioning

confidence: 99%

Section: …(16)mentioning

confidence: 99%

Section: (21)mentioning

confidence: 99%

Section: And Andmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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New Bound State Energies for Spherical Quantum Dots in Presence of a Confining Potential Model at Nano and Plank’s Scales

Maireche¹

2016

NanoWorld J

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Model for End-Stage Liver Disease (Meld) Score, As a Prognostic Factor for Cirrhotic Patients, Undergoing Hepatectomy for Hepatocellular Carcinoma

Hegacy¹

2015

GHOA

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Background/Aims: To evaluate the ability of the model for end-stage liver disease (MELD) in predicting the post-hepatectomy outcome for hepatocellular carcinoma (HCC). Methods: between the periods from January 2007 to June 2010 in National liver Institute (NLI)-Menoufiya University 60 cirrhotic patients with HCC underwent hepatectomy and the results were retrospectively analysed. MELD score was associated with post-operative mortality and morbidity, hospital stay and 3-year survival. Results: Eleven major and 49 minor resections were performed. Thirty-day mortality rate was 8.3%. MELD ≤ 9 was associated with 2.6% peri-operative mortality vs. 20% when MELD > 9 (P < 0.05). Overall morbidity rate was 53.3%; 36.6% when MELD > 9 vs. 16.6% when MELD ≤ 9 (P < 0.05). Median hospital stay was 18 days [12 days, when MELD ≤ 9 and 22 days when MELD > 9 (P = 0.05)]. Three-year survival reached 51% (66% when MELD ≤ 9; 29% when MELD > 9 (P < 0.01). Conclusion: MELD score seems to predict outcome of cirrhotic patients with HCC, after hepatectomy.

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A New Nonrelativistic Investigation for Interactions in One-Electron Atoms With Modified Inverse-Square Potential: Noncommutative Two and Three Dimensional Space Phase Solutions at Planck’s and Nano-Scales

Maireche¹

2016

JNMR

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In this paper, we present a novel theoretical analytical perform further investigation for the exact solvability of non-relativistic quantum spectrum systems for modified inverse-square potential (m.i.s.) potential is discussed by means Boopp's shift method instead to solving deformed Schrödinger equations with star product, in the framework of both noncommutativity (two -three) dimensional real space and phase (NC: 2D-RSP) and (NC: 3D-RSP). The exact corrections for excited states are found straightforwardly for interactions in oneelectron atoms by means of the standard perturbation theory. Furthermore, the obtained corrections of energies are depended on four infinitesimals parameters ( , ) and ( , ), which are induced by position-position and momentum-momentum noncommutativity, (NC: 2D-RSP) and (NC: 3D-RSP), respectively, in addition to the discreet atomic quantum numbers: and (the angular momentum quantum number) and we have also shown that, the usual states in ordinary two and three dimensional spaces are cancelled and has been replaced by new degenerated substates in the new quantum symmetries of (NC: 2D-RSP) and (NC: 3D-RSP). Keywords:The inverse-square potential; Noncommutative space; Phase; Star product; Boopp's shift method. A New Nonrelativistic Investigation for Interactions in One-Electron Atoms With Modified InverseSquare Potential: Noncommutative Two and Three Dimensional Space Phase Solutions at Planck's and Nano-Scales 2/15Copyright: ©2016 Maireche ( 1 . 5 ) Here denote to the new quantum Hamiltonian operator in the symmetries of (NC: 2D-RSP) and (NC: 3D-RSP). The very small two parameters and (compared to the energy) are elements of two ant symmetric real matrixes and denote to the new star product, which is generalized between two arbitrary functions and to instead of the usual product in in ordinary (two-three) dimensional spaces :. ( 2 ) Where the two covariant derivatives are denotes to the , respectively, and the two following terms [ , ] are induced by (space-space) and (phase-phase) noncommutativityproperties, respectively, a Boopp's shift method can be used, instead of solving any quantum systems by using directly star product and , and , 13 23 12 23 13ˆˆˆ, , , ,ˆˆˆ, , , , ,ˆˆˆˆ, , , , , The study of inverse-square potential has now become a very interest field due to their applications in different fields [1], this work is aimed at obtaining an analytic expression for the eigenenergies of a inverse-square potential in (NC: 2D-RSP) and (NC: 3D-RSP) using the generalization Boopp's shift method based on mentioned formalisms on above equations to discover the new symmetries and a possibility to obtain another applications to this potential in different fields, it is important to notice that, this potential was studied, in ordinary two dimensional spaces, by authors Shi-Hai Dong and Guo-Hua Sun of the Ref. the Schrödinger equation with a Coulomb plus inverse-square potential in D dimensions [1]. The organization scheme of the study is given as follows: In next ...

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A New Approach to the Non Relativistic Schrödinger Equation for an Energy-Depended Potential <i>V(r,E<sub>n,l</sub>)=V<sub>0</sub>(1+ηE<sub>n,l</sub>)r<sup>2</sup></i> in both Noncommutative Three Dimensional Spaces and Phases

Cited by 15 publications

References 7 publications

New Bound State Energies for Spherical Quantum Dots in Presence of a Confining Potential Model at Nano and Plank’s Scales

New Bound State Energies for Spherical Quantum Dots in Presence of a Confining Potential Model at Nano and Plank’s Scales

Model for End-Stage Liver Disease (Meld) Score, As a Prognostic Factor for Cirrhotic Patients, Undergoing Hepatectomy for Hepatocellular Carcinoma

A New Nonrelativistic Investigation for Interactions in One-Electron Atoms With Modified Inverse-Square Potential: Noncommutative Two and Three Dimensional Space Phase Solutions at Planck’s and Nano-Scales

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