Quantum Effects of Mesoscopic Inductance and Capacity Coupling Circuits

Using the quantum theory for a mesoscopic circuit based on the discretenes of electric charges, the finitedifference Schrodinger equation of the non-dlssipative mesoscopic inductance and capacity coupling circuit is achieved. The Coulomb blockade effect, which is caused by the discreteness of electr...

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Bibliographic Details
Published in:Communications in theoretical physics 2006-06, Vol.45 (6), p.1126-1130
Main Author: LIU Jian-Xin AN Zhan-Yuan SONG Yong-Hua
Format: Article
Language:English
Subjects:
Mathieu方程
容量耦合回路
库仑阻塞效应
电子电荷
量子效应
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Summary:Using the quantum theory for a mesoscopic circuit based on the discretenes of electric charges, the finitedifference Schrodinger equation of the non-dlssipative mesoscopic inductance and capacity coupling circuit is achieved. The Coulomb blockade effect, which is caused by the discreteness of electric charges, is studied. Appropriately choose the components in the circuits, the finlte-dlfference Schrodinger equation can be divided into two Mathieu equations in representation.＂ With the WKBJ method, the currents quantum fluctuations in the ground states of the two circuits are calculated. The results show that the currents quantum zero-point fluctuations of the two circuits are exist and correlated.
ISSN:0253-6102
DOI:10.1088/0253-6102/45/6/032