中国物理B ›› 2007, Vol. 16 ›› Issue (10): 3093-3096.doi: 10.1088/1009-1963/16/10/045

• CONDENSED MATTER: ELECTRONIC STRUCTURE, ELECTRICAL, MAGNETIC, AND OPTICAL PROPERTIES • 上一篇    下一篇

The quantum Kirchhoff equation and quantum current and energy spectrum of a homogeneous mesoscopic dissipation transmission line

崔元顺   

  1. Department of Physics, Huaiyin Teachers College, Huaian 223001, China
  • 收稿日期:2007-01-16 修回日期:2007-02-03 出版日期:2007-10-08 发布日期:2007-10-08
  • 基金资助:
    Project supported by the Science Foundation of Jiangsu Provincial Education Office, China (Grant No 05KJD140035).

The quantum Kirchhoff equation and quantum current and energy spectrum of a homogeneous mesoscopic dissipation transmission line

Cui Yuan-Shun(崔元顺)†   

  1. Department of Physics, Huaiyin Teachers College, Huaian 223001, China
  • Received:2007-01-16 Revised:2007-02-03 Online:2007-10-08 Published:2007-10-08
  • Supported by:
    Project supported by the Science Foundation of Jiangsu Provincial Education Office, China (Grant No 05KJD140035).

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摘要： On the basis of quantization of charge, the loop equations of quantum circuits are investigated by using the Heisenberg motion equation for a mesoscopic dissipation transmission line. On the supposition that the system has a symmetry under translation in charge space, the quantum current and the quantum energy spectrum in the mesoscopic transmission line are given by solving their eigenvalue equations. Results show that the quantum current and the quantum energy spectrum are not only related to the parameters of the transmission line, but also dependent on the quantized character of the charge obviously.

Abstract: On the basis of quantization of charge, the loop equations of quantum circuits are investigated by using the Heisenberg motion equation for a mesoscopic dissipation transmission line. On the supposition that the system has a symmetry under translation in charge space, the quantum current and the quantum energy spectrum in the mesoscopic transmission line are given by solving their eigenvalue equations. Results show that the quantum current and the quantum energy spectrum are not only related to the parameters of the transmission line, but also dependent on the quantized character of the charge obviously.

Key words: mesoscopic dissipation transmission line, quantum Kirchhoff's equation, quantum current, quantum energy spectrum

中图分类号:  (Waveguides, transmission lines, striplines)

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