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

• 来源期刊: 中国物理（英文版）
• 关键词: mesoscopic dissipation transmission line quantum Kirchhoff's equation quantum current quantum energy spectrum
• 年，卷（期）: 2007,（10）
• 页码范围: 3093-3096
• 页数: 4页
• 语种: 英文

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.