Quantum effects in mesoscopic RLC circuit under eigenstate of ladder operator

To investigate the factors influencing quantum fluctuations, the quantum fluctuations of charge, current and energy in a mesoscopic RLC circuit were calculated in a new Fock space defined by the charge operator using the character of the minimum shift operator based on charge quantization. The results show that, taking account of charge discreteness, the quantum fluctuation of current is zero under the eigenstate of ladder operator, and the fluctuations of charge and energy are determined by charge quantum, Planck constant and state parameters. In addition, the fluctuation of energy depends also on RLC parameters of the circuit, the power source and the external magnetic field.