Ecemiş, Mustafa Ihsan2016-01-082016-01-081995http://hdl.handle.net/11693/17670Ankara : Department of Physics and Institute of Engineering and Science, Bilkent Univ., 1995.Thesis (Master's) -- Bilkent University, 1995.Includes bibliographical references leaves 94-97The analysis of quantum transport phenomena in small systems is a prominent topic of condensed matter physics due to its numerous technological applications. The current analytical theories are not adequate for studying realistic problems. Computational methods provide the most convenient approaches. Numerical integration of the time-dependent Schrödinger equation is one of the most powerful tools albeit the implementation of the blackbody boundary conditions is problematic. In this work, a novel method which render possible this implementation is described. A number of sample calculations are presented. The method is applied to several one- and two-dimensional systems. A description of the time-dependent behavior of quantum bistable switching is given.97 leavesEnglishinfo:eu-repo/semantics/openAccessone-dimensional systemstwo-dimensional systemstransport theorynumerical solutionboundary conditionsSchrödinger equationtime dependencecrystal modelscrystal latticesMarkov processwave functionsquantum bistabilityQC20.7 .E24 1995Dimensional analysisSystem analysisTransport theorySchrodinger equationCrystal modelsCrystal latticesWave functionsTime dependent study of quantum bistabiliityThesis