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传统的介观LC回路的量子化是将电量q和电感与电流的乘积L×I分别作为量子力学中的坐标算符Q和动量算符P来处理;本文采取另外一种量子化的观点,即将电量q(q=en)中的n作为荷数算符,并建立电流和相算符θ之间对应关系,就能实现介观LC回路的数-相范畴的量子化,并得到以数-相算符表示的Hamiltonian;通过引进纠缠态表象,对超导Josephson结也可以实现Cooper对数-相量子化,并给出了相应的物理解释.

参考文献

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