Electronic transport through a quantum wire coupled to a quantum dot

In this paper we re-examine the problem of electronic transports through a system consisting of a quantum dot which has well-defined discrete energy l evels connected to an infinite quantum wire, using the bosonization method and phase-shift representation. We show that all previously known results c an be obtained through our method in a very simple way. Furthermore, the ev olution of the system from ultraviolet to infrared critical fixed points ap pears naturally in our method.