Browsing by Subject "numerical solution"
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Item Open Access Time dependent study of quantum bistabiliity(1995) Ecemiş, Mustafa IhsanThe 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.Item Open Access A time-dependent study of bistability in resonant tunneling structures(1997) Keçecioğlu, ErsinA comjDutational time-dependent study of the bistability in resonant tunneling structures including the electron-electron interactions is presented. A new computational method for the investigation of many jDarticle interacting systems for the study of quantum transport in small systems is introduced. The timedependence of the wave-function in the Schrödinger equation is studied by discretizing the energy spectrum and the time steps. A simple model for a double barrier resonant tunneling structure is introduced. The method is then applied to this simple model of double barrier resonant tunneling structure, and this geometry is investigated systematically in terms of inter-pcirticle interaction strength and number of particles. By applying the method to this simple geometry it is shown that there exists instabilities which occur a.s oscillcitions in the current-voltage characteristics of the model geometry.