New Exact Solution of the Bound States for the Potential Family V(r)=A/r&lt;sup&gt;2&lt;/sup&gt;-B/r+Cr&lt;sup&gt;k&lt;/sup&gt; (k=0,-1,-2) in both Noncommutative Three Dimensional Spaces and Phases: Non Relativistic Quantum Mechanics

Maireche, Abdelmadjid

doi:10.18052/www.scipress.com/ilcpa.58.164

Cited by 18 publications

(37 citation statements)

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“…in ordinary three dimensional spaces [39][40][41][42][43][44][45][46][47][48][49][50][51][52][53][54][55][56][57]:…”

Section: Introductionmentioning

confidence: 99%

New Bound States for Modified Vibrational-Rotational Structure of Supersingular Plus Coulomb Potential of the Schrödinger Equation in One-Electron Atoms

Maireche

2017

ILCPA

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Keywords:The Vibrational-Rotational Structure of Supersingular plus Coulomb potential, noncommutative space and phase, star product and Boopp's shift method.Abstract. In this study, three-dimensional modified time-independent Schrödinger equation of modified vibrational-rotational structure of supersingular plus Coulomb (v.r.s.c) potential was solved using Boopp'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 state and first excited state for interactions in one-electron atoms. Furthermore, the obtained corrections of energies are depended on infinitesimal parameterswhich are induced by position-position and momentum-momentum noncommutativity, respectively, in addition to the discreet atomic quantum numbers:and the angular momentum quantum number m . We have also shown that, the usual states in ordinary three dimensional spaces for ordinary vibrational-rotational structure of supersingular plus Coulomb potential are canceled and has been replaced by new degenerated   1 2 2  l sub-states in the extended new quantum symmetries of (NC: 3D-RSP).

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“…in ordinary three dimensional spaces [39][40][41][42][43][44][45][46][47][48][49][50][51][52][53][54][55][56][57]:…”

Section: Introductionmentioning

confidence: 99%

New Bound States for Modified Vibrational-Rotational Structure of Supersingular Plus Coulomb Potential of the Schrödinger Equation in One-Electron Atoms

Maireche

2017

ILCPA

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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%

“…..…(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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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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New Exact Solution of the Bound States for the Potential Family V(r)=A/r<sup>2</sup>-B/r+Cr<sup>k</sup> (k=0,-1,-2) in both Noncommutative Three Dimensional Spaces and Phases: Non Relativistic Quantum Mechanics

Cited by 18 publications

References 0 publications

New Bound States for Modified Vibrational-Rotational Structure of Supersingular Plus Coulomb Potential of the Schrödinger Equation in One-Electron Atoms

New Bound States for Modified Vibrational-Rotational Structure of Supersingular Plus Coulomb Potential of the Schrödinger Equation in One-Electron Atoms

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

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