Browsing Department of Physics by Author "Rıza, Mustafa"

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Browsing Department of Physics by Author "Rıza, Mustafa"

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  • Rıza, Mustafa; Özyapıcı, Ali; Mısırlı, Emine (Brown University, 2009)
    Based on multiplicative calculus, the finite difference schemes for the numerical solution of multiplicative differential equations and Volterra differential equations are presented. Sample problems were solved using these ...
  • Özyapıcı, Ali; Rıza, Mustafa; Bilgehan, Bülent; Bashirov, Agamirza (Springer US, 2014)
    Theory and applications of multiplicative and Volterra calculi have been evolving rapidly over the recent years. As numerical minimization methods have a wide range of applications in science and engineering, the idea of ...
  • Bracher, Christian; Rıza, Mustafa; Kleber, Markus (American Physical Soc, 1997)
    We develop a quantum mechanical scattering theory for electrons which tunnel out of (or into) the tip of a scanning tunneling microscope. The method is based on propagators (or Green functions) for quasistationary scattering ...
  • Abdullah, Alharith A.; Khalaf, Rifaat; Rıza, Mustafa (Hindawi Publishing Corporation, 2015)
    A realizable quantum three-pass protocol authentication based on Hill-cipher algorithm is presented by encoded and decoded plaintext using classical Hill-cipher algorithm. It is shown that the encoded message transferred ...
  • Rıza, Mustafa; Aktöre, Hatice (Cambridge Univ Press, 2015)
    This paper illuminates the derivation, applicability, and efficiency of the multiplicative Runge Kutta method, derived in the framework of geometric multiplicative calculus. The removal of the restrictions of geometric ...
  • Bracher, Christian; Rıza, Mustafa; Kleber, Markus (Springer-Verlag, 1998)
    We discuss a novel source-theoretical description of the STM based on the concepts of quantum-mechanical scattering theory. As an application of the formalism, we study how the presence of a crystalline adsorbate layer ...
  • Bracher, Christian; Rıza, Mustafa; Kleber, Markus (AMER PHYSICAL SOC, 1999)
    Tunneling problems are characterized by different quantum time scales of motion. In this paper, we identify a tunneling time scale, which is based on a simple variational principle. The method utilizes the stationary e ...