On Bosonic Magnetic Flux Operator and Bosonic Faraday OperatorFormula

Abstract

In the literature about mesoscopic Josephson devices the magneticflux is considered as an operator, the fundamental commutative relationbetween the magnetic flux operator and the Cooper-pair charge operator isusually preengaged. In this paper we show that such a relation can be deducedfrom the basic Bose operators' commutative relation through the entangled staterepresentation. The Faraday formula in bosonic form is then equivalent tothe second Josephson equation. The current operator equation for LCmesoscopic circuit is also derived.