中国物理B ›› 2012, Vol. 21 ›› Issue (2): 20402-020402.doi: 10.1088/1674-1056/21/2/020402

• GENERAL • 上一篇    下一篇

胥成林   

  • 收稿日期:2011-07-16 修回日期:2011-07-29 出版日期:2012-01-30 发布日期:2012-01-30
  • 通讯作者: 胥成林,xuchenglin@ynao.ac.cn E-mail:xuchenglin@ynao.ac.cn

Number-phase quantization of a mesoscopic RLC circuit

Xu Cheng-Lin(胥成林)   

  1. Department of Mathematics, Yunnan Normal University, Kunming 650092, China
  • Received:2011-07-16 Revised:2011-07-29 Online:2012-01-30 Published:2012-01-30
  • Contact: Xu Cheng-Lin,xuchenglin@ynao.ac.cn E-mail:xuchenglin@ynao.ac.cn

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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.

Key words: mesoscopic RLC circuit, number-phase quantization, Lagrangian function

中图分类号:  (Canonical quantization)

  • 04.60.Ds
73.23.-b (Electronic transport in mesoscopic systems)