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Variationnal Calculation of the Doubly (nl) 2 1Lp Excited States of He-Like Ions Via the Screening Constant by Unit Nuclear Charge Formalism
Jean Kouhissoré Badiane,
Mamadou Diouldé Ba,
Abdourahmane Diallo,
Momar Talla Nging,
Malick Sow,
Ibrahima Sakho
Issue:
Volume 4, Issue 2, June 2018
Pages:
27-41
Received:
19 May 2018
Accepted:
20 June 2018
Published:
16 July 2018
Abstract: The present work deals with an ab initio calculation of total energies of the doubly excited np2, nd2 and nf2 states in the helium-like systems. These total energies are calculated in the framework of the variationnal procedure of the Screening constant by unit nuclear charge (SCUNC) formalism. In the present work, a new correlated wave function is presented to express analytically the total energies of the doubly np2, nd2 and nf2 excited states in the He-like systems. The present results obtained up to Z = 10 and n = 4 agree very well with various computational methods.
Abstract: The present work deals with an ab initio calculation of total energies of the doubly excited np2, nd2 and nf2 states in the helium-like systems. These total energies are calculated in the framework of the variationnal procedure of the Screening constant by unit nuclear charge (SCUNC) formalism. In the present work, a new correlated wave function is...
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Standard Model Picture with 61 Elementary Particles
Issue:
Volume 4, Issue 2, June 2018
Pages:
42-49
Received:
15 September 2017
Accepted:
28 January 2018
Published:
9 August 2018
Abstract: In 1960 Gell-Mann completed the «Particle Zoo» with a picture simulating a 3-dimensional model: Spin, Strangeness and an oblique incident charge with 3 investigated Quarks constructed in 10 Baryons. Until now the CERN scientists have found 61 elementary particles, but only 17 Fundamental particles are listed in a brick box as «Standard model». But if the Quarks really exist, why not use Gell-Mann’s picture which I tried to enhance with modern media. This explains why – in contrast to common practice - only pictures can be seen in this publication and NO Lagrange formula.
Abstract: In 1960 Gell-Mann completed the «Particle Zoo» with a picture simulating a 3-dimensional model: Spin, Strangeness and an oblique incident charge with 3 investigated Quarks constructed in 10 Baryons. Until now the CERN scientists have found 61 elementary particles, but only 17 Fundamental particles are listed in a brick box as «Standard model». But ...
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A Brief Review of Independent, Dependent and One Sample t-test
Issue:
Volume 4, Issue 2, June 2018
Pages:
50-54
Received:
27 June 2018
Accepted:
17 July 2018
Published:
14 August 2018
Abstract: In statistics it is important to know the method of analysing data. The study looked at parametric tests with a special focus on the three t-tests. In this paper, the researcher provide a brief review of commonly used three t-tests namely an independent sample t-test, dependent sample-test and one sample t-test. The researcher has presented the formulae for calculating an independent sample t-test, dependent sample-test and one sample t-test. Procedures have also been written in this article on how to conduct the three t-tests in SPSS. The article has also looked at the formulae for calculating the effect size and its important when conducting a study.
Abstract: In statistics it is important to know the method of analysing data. The study looked at parametric tests with a special focus on the three t-tests. In this paper, the researcher provide a brief review of commonly used three t-tests namely an independent sample t-test, dependent sample-test and one sample t-test. The researcher has presented the for...
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Screening Constant by Unit Nuclear Charge Calculations of Resonance Energies of the 3 (K, T, A) n 1,3Lp Rydberg Series of He-Like Ions
Jean Kouhissoré Badiane,
Abdourahmane Diallo,
Mamadou Diouldé Ba,
Momar Talla Gning,
Malick Sow,
Ibrahima Sakho
Issue:
Volume 4, Issue 2, June 2018
Pages:
55-60
Received:
3 July 2018
Accepted:
23 July 2018
Published:
24 August 2018
Abstract: We report accurate energies of the 3 (2,0,+) n 1De, 1Ge, 3F°, 3 (0, 2,+) n 1De, 3 (1,1,+) n 3De, 3Pe, 3Fe, 3 (-1,1,+) n 3Pe, and 3 (1,1,+) n 1D°, 1F°, series of He- like ions using the Screening constant by unit nuclear charge method. It is shown that the angular correlation quantum number K is effectively related to the cosinus of the angle between the position vectors of the two electrons.
Abstract: We report accurate energies of the 3 (2,0,+) n 1De, 1Ge, 3F°, 3 (0, 2,+) n 1De, 3 (1,1,+) n 3De, 3Pe, 3Fe, 3 (-1,1,+) n 3Pe, and 3 (1,1,+) n 1D°, 1F°, series of He- like ions using the Screening constant by unit nuclear charge method. It is shown that the angular correlation quantum number K is effectively related to the cosinus of the angle be...
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The Solution of the Wave Equation in the Class of Complex Numbers by Introducing Hyperbolic Coordinates
Issue:
Volume 4, Issue 2, June 2018
Pages:
61-66
Received:
13 May 2018
Accepted:
19 August 2018
Published:
17 September 2018
Abstract: The finding of the solution of the wave equation, formulated as the Cauchy problem, does not exhaust all possibilities of the theory. The attempt to examine that one by admitting that the time is an imaginary value is made. So the new curvilinear coordinates, named hyperbolic, are introduced in consideration. They allow for hyperbolic equations to extend a field of searching of solutions to the complex plan and give the possibility to apply powerful Fourier’s method. Due to that, the wave equation takes a form of Laplace’s one in polar coordinates. However, the boundary condition differs from well known Dirichlet problem that in this case looses the sence. The new condition is admitted and it is physically formulated as the description of wave from various inertial systems of coordinates. So the result is obtaining proceeding either of the momentum picture of a wave, made from the moving system of coordinates, or on the oscillogram, developed in time The analytic solution that differs from Poisson integral is deduced and gives the formulas of relativistic addition of velocities for points of wave, observing from different inertial systems. That integral was also formally yielded by using the conform translation. Additionally, in the frequencies field those formulas describe the relativistic Doppler’s effect and the red shift in the wave spectrum. For oscillatory boundary condition the solution of the obtained integral gives a description of the shock waves. The fact, that some formulas of Relativity may be deduced by new way, gives the possibility to explain the relativistic theory proceeding from supposition of waving nature of quantum objects.
Abstract: The finding of the solution of the wave equation, formulated as the Cauchy problem, does not exhaust all possibilities of the theory. The attempt to examine that one by admitting that the time is an imaginary value is made. So the new curvilinear coordinates, named hyperbolic, are introduced in consideration. They allow for hyperbolic equations ...
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