On Bosonic Magnetic Flux Operator and Bosonic Faraday Operator Formula

摘要

In the literature about mesoscopic Josephson devices the magnetic flux is considered as an operator,thefundamental commutative relation between the magnetic flux operator and the Cooper-pair charge operator is usuallypreengaged.In this paper we show that such a relation can be deduced from the basic Bose operators' commutativerelation through the entangled state representation.The Faraday formula in bosonic form is then equivalent to thesecond Josephson equation.The current operator equation for LC mesoscopic circuit is also derived.