@article {Wang:2007:1546-1955:408, title = "Electron Transport in Quantum Waveguides", journal = "Journal of Computational and Theoretical Nanoscience", parent_itemid = "infobike://asp/jctn", publishercode ="asp", year = "2007", volume = "4", number = "3", publication date ="2007-05-01T00:00:00", pages = "408-432", itemtype = "ARTICLE", issn = "1546-1955", eissn = "1546-1963", url = "https://www.ingentaconnect.com/content/asp/jctn/2007/00000004/00000003/art00003", doi = "doi:10.1166/jctn.2007.2326", keyword = "QUANTUM WAVEGUIDE, COMPUTATIONAL QUANTUM MECHANICS, ELECTRON TRANSPORT, NANO-STRUCTURED DEVICE, QUANTUM DYNAMICS", author = "Wang, J. B. and Midgley, S.", abstract = "As electronic circuits get progressingly smaller down to the nanometer scale, device analysis based on classical or semi-classical transport theories no longer works since the quantum wave nature of the electrons starts to play a dominant role. Contemporary advances in semi-conductor fabrication technology have already allowed construction of nanostructured devices from 1 nm to 100 nm in size and confined in two, one, and zero dimensions. This paper reviews recent work on electron transport and quantum interference in nano-electronic devices, focusing mainly on the theoretical and computational aspects. A general quantum waveguide theory is presented and a wide range of computational methods for solving the corresponding Schr{\"o}dinger's equations are discussed in detail. This provides a basis for computer simulations of various quantum phenomena emerging in the nanometer domain.", }