Abstract
For the first time we employ the method of integration within ordered product of operators to search for quantum squeezing operator and squeezed state for daigonalizing the mesoscopic two-loop L–C circuit with capacity C3 coupling. We also deduce the energy level (characteristic frequecncy) ω±2=C2L2C1+C3+C1L1C3+C22C1C2C3L1L2±12C1+C3C1C3L1−C2+C3C2C3L22+4C32L1L2 and derive the exact quantum noise expression. The way we adopt here is benificial to mesoscopic circuit design for quantum computer.
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