International Journal of Applied Mathematics and Theoretical Physics

Volume 4, Issue 2, June 2018

  • 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: May 19, 2018
    Accepted: Jun. 20, 2018
    Published: Jul. 16, 2018
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    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... Show More
  • Standard Model Picture with 61 Elementary Particles

    Hermann Josef Scheuber

    Issue: Volume 4, Issue 2, June 2018
    Pages: 42-49
    Received: Sep. 15, 2017
    Accepted: Jan. 28, 2018
    Published: Aug. 09, 2018
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    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 ... Show More
  • A Brief Review of Independent, Dependent and One Sample t-test

    Banda Gerald

    Issue: Volume 4, Issue 2, June 2018
    Pages: 50-54
    Received: Jun. 27, 2018
    Accepted: Jul. 17, 2018
    Published: Aug. 14, 2018
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    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... Show More
  • 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: Jul. 03, 2018
    Accepted: Jul. 23, 2018
    Published: Aug. 24, 2018
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    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... Show More
  • The Solution of the Wave Equation in the Class of Complex Numbers by Introducing Hyperbolic Coordinates

    Khoroshavtsev Y. E.

    Issue: Volume 4, Issue 2, June 2018
    Pages: 61-66
    Received: May 13, 2018
    Accepted: Aug. 19, 2018
    Published: Sep. 17, 2018
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    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 ... Show More