Quantum waveguide theory: A direct solution to the time-dependent Schrodinger equation

In this paper, we present a highly accurate and effective theoretical model to study electron transport and interference in quantum cavities with arbi trarily complex boundaries. Based on this model, a variety of quantum effec ts can be studied and quantified. In particular, this model provides inform ation on the transient state of the system under study, which is important for analyzing nanometer-scale electronic devices such as high-speed quantum transistors and quantum switches.