Transmission coefficient of interacting few-body system in one dimensional space

Abstract

We present a novel way of defining transmission coefficient of one spatial dimensional few interacting electrons system. The formalism is based on the probability interpretation of unitarity of physical scattering $S$-matrix. The relation of our formalism to the well-established method for describing the conducting properties of non-interacting systems, Landauer-B\"uttiker formula, is discussed. The transport properties of interacting two-electron system is also discussed as a specific example of our formalism.