Abstract

By introducing the entangled state representation and Feynmanassumption that `electron pairs are bosons, …, a bound pair actsas a Bose particle', we construct an operator Hamiltonian for amesoscopic inductance-capacitance (LC) circuit including a Josephsonjunction, then we use the Heisenberg equation of motion to derive thecurrent equation and the voltage equation across the inductance as wellas across the Josephson junction. The result manifestly shows how thejunction voltage is affected by the capacitance coupling. In this waythe Cooper-pair number-phase quantization for this system is completed.

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