International Journal of Applied Mathematics and Theoretical Physics

Volume 3, Issue 4, October 2017

  • The Singlet Doubly Excited (nl)2 (n ≤ 7) States of He-Like Systems up to Z=10 and the Effect of Screen Constant (α) on the Nuclear Charge (Z)

    Abdou Diouf, Boubacar Sow, Youssou Gning, Malick Sow, Alassane Traore, Ahmadou Wague

    Issue: Volume 3, Issue 4, October 2017
    Pages: 78-85
    Received: 10 June 2017
    Accepted: 3 July 2017
    Published: 9 August 2017
    Abstract: Calculations of the energy levels of atoms and ions with Z ≤ 10 are carried out in this paper using the variational method. New wave function with two terms including correlation was performed to calculate excited (ns2) 1Se, (np2) 1De, (nd2) 1Ge, (nf2) 1Ie, (nh2) 1Me and (ng2) 1Ke states with (n ≤ 7). The results obtained show quantitatively the gr... Show More
  • Optimal Slope Designs for Second Degree Kronecker Model Mixture Experiments

    Wambua Alex Mwaniki, Njoroge Elizabeth, Koske Joseph, John Mutiso, Kuria Joseph Gikonyo, Muriungi Robert Gitunga, Cheruiyot Kipkoech

    Issue: Volume 3, Issue 4, October 2017
    Pages: 86-91
    Received: 31 March 2017
    Accepted: 14 April 2017
    Published: 26 October 2017
    Abstract: The aim of this paper is to investigate some optimal slope mixture designs in the second degree Kronecker model for mixture experiments. The study is restricted to weighted centroid designs, with the second degree Kronecker model. For the selected maximal parameter subsystem in the model, a method is devised for identifying the ingredients ratio th... Show More
  • Statistical Change Point Analysis in Air Temperature and Rainfall Time Series for Cocoa Research Institute of Nigeria, Ibadan, Oyo State, Nigeria

    N. P. Dibal, M. Mustapha, Adegoke T. M., A. M. Yahaya

    Issue: Volume 3, Issue 4, October 2017
    Pages: 92-96
    Received: 27 August 2016
    Accepted: 20 October 2016
    Published: 13 December 2017
    Abstract: In this work, a cumsum approach is used to detect change-point in mean of an independent normal random variables. A multiple shift in the mean level was considered and show how such a problem can be straightforwardly addressed through the cumsum approach. Data gotten from Cocoa Research Institute of Nigeria were used and from the result of the anal... Show More
  • Radial Solution of the S-Wave Schrodinger Equation with Kratzer Plus Modified Deng-Fan Potential Under the Framework of Nikifarov-Uvarov Method

    Louis Hitler, Benedict Iserom Ita, Ozioma Udochuku Akakuru, Thomas Odey Magu, Innocent Joseph, Pigweh Amos Isa

    Issue: Volume 3, Issue 4, October 2017
    Pages: 97-100
    Received: 14 September 2017
    Accepted: 18 October 2017
    Published: 21 December 2017
    Abstract: The solutions of the Schrodinger equation with Kratzer plus Modified Deng-Fan potential have been obtained using the parametric Nikiforov-Uvarov (NU) method which is based on the solutions of general second-order linear differential equations with special functions. The bound state energy eigenvalues and the corresponding un-normalized eigen functi... Show More