International Journal of Applied Mathematics and Theoretical Physics

Volume 2, Issue 4, October 2016

  • On the Perturbation Theory in Quantum Electrodynamics Using the Wave Functions of the Dressed States

    Yuriy N. Zayko

    Issue: Volume 2, Issue 4, October 2016
    Pages: 28-30
    Received: Aug. 04, 2016
    Accepted: Aug. 15, 2016
    Published: Sep. 06, 2016
    DOI: 10.11648/j.ijamtp.20160204.11
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    Abstract: The paper considers the possibility of constructing a perturbation theory for problems of quantum electrodynamics, which is based on the wave functions of so-called "dressed" electron, unlike traditional perturbation theory, which uses the wave functions of the "bare" electrons. To investigate the wave functions of the "dressed" electron a numerica... Show More
  • Timing in Simultaneity, Einstein’s Test Scenario, and Precise Clock Synchronization

    Steven D. Deines

    Issue: Volume 2, Issue 4, October 2016
    Pages: 31-40
    Received: Aug. 21, 2016
    Accepted: Aug. 25, 2016
    Published: Sep. 26, 2016
    DOI: 10.11648/j.ijamtp.20160204.12
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    Abstract: Although seemingly different, these topics are all related to timing events. Einstein gave examples of simultaneous events as witnessed by one inertial observer may not be simultaneous for other inertial observers. This paper eliminates a common misconception. Simultaneous events are confused with separated events occurring at the same coordinate t... Show More
  • Blow-up of Solutions for Semilinear Timoshenko System with Damping and Source Terms

    Jian Dang, Qingying Hu, Hongwei Zhang

    Issue: Volume 2, Issue 4, October 2016
    Pages: 41-45
    Received: Aug. 21, 2016
    Accepted: Aug. 29, 2016
    Published: Oct. 14, 2016
    DOI: 10.11648/j.ijamtp.20160204.13
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    Abstract: In this paper, we are concerned with one-dimensional Timoshenko model for a beam with nonlinear damping and source terms. We establish a blow-up result when the initial energy is positive and the initial data is not in a potential well. Under arbitrary positive initial energy, we also prove a finite-time blow-up result for a special case.
  • Generalized Equations for the Collinear Doppler Effect

    Steven D. Deines

    Issue: Volume 2, Issue 4, October 2016
    Pages: 46-51
    Received: Aug. 06, 2016
    Accepted: Sep. 23, 2016
    Published: Oct. 19, 2016
    DOI: 10.11648/j.ijamtp.20160204.14
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    Abstract: Some physics textbooks state that the equation for the collinear Doppler effect applies only to a reference frame fixed on the medium, while several textbooks ignore this limitation. The wavelength recorded by a moving observer can be transformed by the textbook Doppler equation in terms of only the source’s frequency and velocity, which demonstrat... Show More
  • Classical Derivation of the Total Solar Deflection of Light

    Steven D. Deines

    Issue: Volume 2, Issue 4, October 2016
    Pages: 52-56
    Received: Aug. 07, 2016
    Accepted: Sep. 23, 2016
    Published: Oct. 19, 2016
    DOI: 10.11648/j.ijamtp.20160204.15
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    Abstract: It has been held that the total solar deflection of light could only be derived correctly by Einstein’s general theory of relativity. This paper provides a new classical derivation for the total gravitational deflection of light as a photon passes by the Sun. Newton, Cavendish, Einstein and others discussed or calculated how gravity may bend the pa... Show More
  • Functional Basic Units of Physics and Reference Frames That Preserve Maxwell’s Equations

    Steven D. Deines

    Issue: Volume 2, Issue 4, October 2016
    Pages: 57-63
    Received: Aug. 12, 2016
    Accepted: Nov. 09, 2016
    Published: Dec. 12, 2016
    DOI: 10.11648/j.ijamtp.20160204.16
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    Abstract: This paper briefly highlights that the basic time unit as the International System second is shorter than the original Universal Time second, which causes the International Atomic Time to run faster than Universal Time. This paper also discusses that the mole, candela, and ampere are functional definitions due to their dependence on other basic phy... Show More