Quantization of RLC circuit is given and described by a double-wave function. A comparison between classical limit result and those of classical theory is made.
Mesoscopic dissipative parallel RLC circuit is quantized by the method of damped harmonic oscillator quantization.In the paper double-wave function quantum theory is applied to description of mesoscopic dissipative parallel RLC circuit with certain parameter and unitary phase,The quantum fluctuation of current and voltage are investigated,result of research show that the quantum fluctuation of mesoscopic dissipative parallel RLC circuit with unitary phase should be depicted in the theory of double-wave function.