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.
Received: 16 January 2007
Revised: 03 February 2007
Accepted manuscript online:
PACS:
84.40.Az
(Waveguides, transmission lines, striplines)
Fund: Project supported by the Science
Foundation of Jiangsu Provincial Education Office, China (Grant No
05KJD140035).
Cite this article:
Cui Yuan-Shun(崔元顺) The quantum Kirchhoff equation and quantum current and energy spectrum of a homogeneous mesoscopic dissipation transmission line 2007 Chinese Physics 16 3093
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