摘要
The exact solution of time-evolution operator is obtained by applying the gauge transformation of algebra dynamics.Such an operator describes the time-evolution of the quantum state for two inductance coupled mesoscopic LC circuits.The zero-state responses of the charge and current to the input voltage signal are calculated.The results show that the system of inductance coupled mesoscopic LC circuits is linear and time-invariant.The zero-state responses of the charge and current are consistent with those of the corresponding macroscopic circuit.
The exact solution of time-evolution operator is obtained by applying the gauge transformation of algebra dynamics. Such an operator describes the time-evolution of the quantum state for two inductance coupled mesoscopic LC circuits. The zero-state responses of the charge and current to the input voltage signal are calculated. The results show that the system of inductance coupled mesoscopic LC circuits is linear and time-invariant. The zero-state responses of the charge and current are consistent with those of the corresponding macroscopic circuit.
基金
supported by the Natural Science Foundation and the Scientific Research Foundation of the Education Department of Fujian Province,China(Nos.2008J0036,A0220001 and JA09160)
