International Journal of Applied Mathematics and Theoretical Physics

Volume 5, Issue 3, September 2019

  • Quantum Wave Function Based on String Theory for Frictional Medium to Obtain Collision Probability, Energy Operator and Schrodinger Equation

    Asma Mohamed Elhussin

    Issue: Volume 5, Issue 3, September 2019
    Pages: 52-57
    Received: Mar. 24, 2019
    Accepted: May 21, 2019
    Published: Aug. 12, 2019
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    Abstract: Schrodinger equation suffer from being not sensitive to the mechanical properties as well as the electric and magnetic properties of matter. This set back can be cured by starting the derivation using the function sensitive to these parameters. Treating particle as vibrating strings a useful expression for the velocity was found using the equation ... Show More
  • Study on a Spinorial Representation of Linear Canonical Transformation

    Raoelina Andriambololona, Ravo Tokiniaina Ranaivoson, Hanitriarivo Rakotoson

    Issue: Volume 5, Issue 3, September 2019
    Pages: 58-65
    Received: Jun. 15, 2019
    Accepted: Jul. 30, 2019
    Published: Aug. 26, 2019
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    Abstract: This paper is mainly focused on the description of an approach for establishing a spinorial representation of linear canonical transformations. It can be considered as a continuation of our previous works concerning linear canonical transformations and phase space representation of quantum theory. The said method is based on the development of an a... Show More
  • Blow-up for Semidiscretisations of a Semilinear Schrodinger Equation with Dirichlet Condition

    Konan Firmin N'gohisse, Diabate Nabongo, Lassane Traoré

    Issue: Volume 5, Issue 3, September 2019
    Pages: 66-71
    Received: Jul. 17, 2019
    Accepted: Aug. 12, 2019
    Published: Aug. 26, 2019
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    Abstract: Theoretical study of the phenomenon of blow-up solutions for semilinear Schrödinger equations has been the subject of investigations of many authors. It is said that the maximal time interval of existence of the solution blows up in a finite time when this time is finite, and the solution develops a singularity in a finite time. In fact, semilinear... Show More
  • Numerical Study of Creeping Flow Through Sinusoidally Periodic Tube

    Asif Mahmud, Suhana Perveen, Md. Nazmul Hasan, Md. Samsuzzoha, Nazmul Islam

    Issue: Volume 5, Issue 3, September 2019
    Pages: 72-81
    Received: Apr. 29, 2019
    Accepted: Sep. 04, 2019
    Published: Sep. 19, 2019
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    Abstract: There has been renewed interest in the flow behaviour within tubes with periodically varying cross-section with the recognition that they can be used as particle separation devices. In this paper, we present a numerical study of the effect of tube geometry on creeping flow of viscous incompressible fluid through sinusoidally constricted periodic tu... Show More
  • A Proof on the Conjecture of Twin Primes

    Zhang Yue

    Issue: Volume 5, Issue 3, September 2019
    Pages: 82-84
    Received: Jul. 15, 2019
    Accepted: Jul. 27, 2019
    Published: Sep. 20, 2019
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    This article belongs to the Special Issue Mathematics Teaching
    Abstract: Although the mathematicians all over the world offered hard explorations of more than one hundred years, the proof of using pure mathematical theories on the conjecture of twin primes has not born in the world. This paper is trying to apply computer program to prove that corresponding to infinite primes p, there are infinite p+2 primes. As a mathem... Show More
  • Forced Nutation for Rigid Earth Model with Different Theories

    Mohamed Soliman, Hadia Hassan Selim, Inal Adham Hassan

    Issue: Volume 5, Issue 3, September 2019
    Pages: 85-96
    Received: Aug. 13, 2019
    Accepted: Sep. 10, 2019
    Published: Sep. 23, 2019
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    This article belongs to the Special Issue Theory and Applications for Rotational Earth and Space Dynamics
    Abstract: Where Earth is not strictly rigid body but can responds to any effects that tend to its rotation and shape, we will explain, in the present paper, the goal which is to define the forced nutation for a rigid Earth model using two different theories. We will formulate a first order Hamiltonian of a deformable Earth for its rotational motion around th... Show More