Study on the zero-state quantum responses for inductance coupled mesoscopic LC circuits

【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.更多还原

【Abstract】 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.更多还原