Browsing PHY – Journal Articles: Publisher & Author Versions (Post-Print Author Versions) – Physics by Author "Rıza, Mustafa"

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Browsing PHY – Journal Articles: Publisher & Author Versions (Post-Print Author Versions) – Physics by Author "Rıza, Mustafa"

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  • Multiplicative Finite Difference Methods 
    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 ...
  • On multiplicative and Volterra minimization methods 
    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 ...
  • Propagator theory of scanning tunneling microscopy 
    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 ...
  • A Realizable Quantum Three-Pass Protocol Authentication Based on Hill-Cipher Algorithm 
    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 ...
  • The Runge-Kutta method in geometric multiplicative calculus 
    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 ...
  • A simple adsorbate model in STM 
    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 ...
  • Variational approach to the tunneling-time problem 
    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 ...