Mesoscopic Rlc Circuit Of The Charge, The Quantum Fluctuations Of The Current And The Antibunching Effect

Because the charge and current can not meet unitary commutative relationship in the active RLC circuit,starting from equation of motion of the active RLC circuit,I adopt the technique of the unitary transformation, transform the charge and current into the unitary variable and then have them quantization. By making use of standard transformation and selecting proper gauge transformation conditions, I try to solve the time dependent Schringer equation and derive the exact solution. Under the population representation. As the application, the quantum fluctuation of the charge and the current in the mesoscopic circuit (RLC circuit ) in the harmonic oscillator state are studied, from the studying of antibunching effect, the factors of influencing quantum fluctuation of the the charge and the current in the circuit and the conditions of arising the antibunching effect are also discovered, the results are analysed and discussed.