Quantum Effects of Mesoscopic Inductance and Capacity Coupling Circuits |
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Authors: | LIU Jian-Xin YAN Zhan-Yuan SONG Yong-Hua |
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Institution: | 1. Department of Electrical Engineering, North China
Electric Power University, Baoding 071003, China
;2. Department of Applied Physics, North China Electric
Power University, Baoding 071003, China
;3. Electronic and Computer Engineering Department,
Brunel University, London, UK |
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Abstract: | Using the quantum theory for a
mesoscopic circuit based on the discretenes of electric charges,
the finite-difference Schrödinger equation of the non-dissipative 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 finite-difference
Schrödinger equation can be divided into two Mathieu
equations in \hat p 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. |
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Keywords: | mesoscopic circuit Mathieu equation quantum effect |
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