Please wait a minute...
Chin. Phys. B, 2012, Vol. 21(2): 020402    DOI: 10.1088/1674-1056/21/2/020402
GENERAL Prev   Next  

Number-phase quantization of a mesoscopic RLC circuit

Xu Cheng-Lin(胥成林)
Department of Mathematics, Yunnan Normal University, Kunming 650092, China
Abstract  With the help of the time-dependent Lagrangian for a damped harmonic oscillator, the quantization of mesoscopic RLC circuit in the context of a number-phase quantization scheme is realized and the corresponding Hamiltonian operator is obtained. Then the evolution of the charge number and phase difference across the capacity are obtained. It is shown that the number-phase analysis is useful to tackle the quantization of some mesoscopic circuits and dynamical equations of the corresponding operators.
Keywords:  mesoscopic RLC circuit      number-phase quantization      Lagrangian function  
Received:  16 July 2011      Revised:  29 July 2011      Accepted manuscript online: 
PACS:  04.60.Ds (Canonical quantization)  
  73.23.-b (Electronic transport in mesoscopic systems)  
Corresponding Authors:  Xu Cheng-Lin,xuchenglin@ynao.ac.cn     E-mail:  xuchenglin@ynao.ac.cn

Cite this article: 

Xu Cheng-Lin(胥成林) Number-phase quantization of a mesoscopic RLC circuit 2012 Chin. Phys. B 21 020402

[1] A novel interconnect-optimal repeater insertion model with target delay constraint in 65nm CMOS
Zhu Zhang-Ming(朱樟明), Qian Li-Bo(钱利波), and Yang Yin-Tang(杨银堂). Chin. Phys. B, 2009, 18(3): 1188-1193.
No Suggested Reading articles found!