<正> 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...<正> 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.展开更多
基金The project supported by National Natural Science Foundation of China under Grant No. 10574060
文摘<正> 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.