Number-Phase Quantization Scheme for L-C Circuit
Fan Hong-Yi, Liang Bao-Long, Ji‐Suo Wang · Communications in Theoretical Physics · 2007
For a mesoscopic L-C circuit, besides the Louisell's quantization scheme in which electric charge q and electric current I are respectively quantized as the coordinate operator Q and momentum operator P , in this paper we propose a new quantization scheme in the context of number-phase quantization through the standard Lagrangian formalism. The comparison between this number-phase quantization with the Josephson junction's Cooper pair number-phase-difference quantization scheme is made.