Energy variation of mesoscopic L–C electric circuit in external electromagnetic field

Abstract

In this paper, we investigate energy variation of mesoscopic L–C electric circuit in external electromagnetic field (EMF) due to the energy flow of EMF, we consider this a diffusion process governed by the master equation for diffusion channel with the diffusion rate being determined by the energy flow of EMF. By using the entangled state representation and the method of integration within ordered product of operators we derive time evolution law of the initial density operator of the circuit and the energy variation formula.