A new approach to the quantized electrical conductance
arXiv:0804.3689 · doi:10.1016/j.physleta.2008.05.061
Abstract
The quanta of electrical conductance is derived for a one-dimensional electron gas both by making use of the quasi-classical motion of a quantum fluid and by using arguments related to the uncertainty principle. The result is extended to a nanowire of finite cross-section area and to electrons in magnetic field, and the quantization of the electrical conductance is shown. An additional application is made to the two-dimensional electron gas.
6 pages, no figure; few last pages cut, inadvertently pasted in the former version